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FAIR VALUE MEASUREMENT
12 Months Ended
Dec. 31, 2018
Fair Value Disclosures [Abstract]  
FAIR VALUE MEASUREMENT
FAIR VALUE MEASUREMENT
ASC 820-10, Fair Value Measurement, defines fair value, establishes a consistent framework for measuring fair value and requires disclosures about fair value measurements. Fair value is defined as the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date, and therefore represents an exit price. Among other things, the standard requires the Company to maximize the use of observable inputs and minimize the use of unobservable inputs when measuring fair value.
Under ASC 820-10, the probability of default of a counterparty is factored into the valuation of derivative and other positions as well as the impact of Citigroup’s own credit risk on derivatives and other liabilities measured at fair value.

Fair Value Hierarchy
ASC 820-10 specifies a hierarchy of inputs based on whether the inputs are observable or unobservable. Observable inputs are developed using market data and reflect market participant assumptions, while unobservable inputs reflect the Company’s market assumptions. These two types of inputs have created the following fair value hierarchy:

Level 1: Quoted prices for identical instruments in active markets.
Level 2: Quoted prices for similar instruments in active markets, quoted prices for identical or similar instruments in markets that are not active and model-derived valuations in which all significant inputs and significant value drivers are observable in active markets.
Level 3: Valuations derived from valuation techniques in which one or more significant inputs or significant value drivers are unobservable.

As required under the fair value hierarchy, the Company considers relevant and observable market inputs in its valuations where possible. The frequency of transactions, the size of the bid-ask spread and the amount of adjustment necessary when comparing similar transactions are all factors in determining the relevance of observed prices in those markets.

Determination of Fair Value
For assets and liabilities carried at fair value, the Company measures fair value using the procedures set out below, irrespective of whether the assets and liabilities are measured at fair value as a result of an election or whether they are required to be measured at fair value.
When available, the Company uses quoted market prices to determine fair value and classifies such items as Level 1. In some specific cases where a market price is available, the Company will make use of acceptable practical expedients (such as matrix pricing) to calculate fair value, in which case the items are classified as Level 2.
The Company may also apply a price-based methodology, which utilizes, where available, quoted prices or other market information obtained from recent trading activity in positions with the same or similar characteristics to the position being valued. The frequency and size of transactions are among the factors that are driven by the liquidity of markets and determine the relevance of observed prices in those markets. If relevant and observable prices are available, those valuations may be classified as Level 2. When that is not the case, and there are one or more significant unobservable “price” inputs, then those valuations will be classified as Level 3. Furthermore, when less liquidity exists for a security or loan, a quoted price is stale, a significant adjustment to the price of a similar security is necessary to reflect differences in the terms of the actual security or loan being valued, or prices from independent sources are insufficient to corroborate the valuation, the “price” inputs are considered unobservable and the fair value measurements are classified as Level 3.
If quoted market prices are not available, fair value is based upon internally developed valuation techniques that use, where possible, current market-based parameters, such as interest rates, currency rates and option volatilities. Items valued using such internally generated valuation techniques are classified according to the lowest level input or value driver that is significant to the valuation. Thus, an item may be classified as Level 3 even though there may be some significant inputs that are readily observable.
Fair value estimates from internal valuation techniques are verified, where possible, to prices obtained from independent vendors or brokers. Vendors’ and brokers’ valuations may be based on a variety of inputs ranging from observed prices to proprietary valuation models, and the Company assesses the quality and relevance of this information in determining the estimate of fair value. The following section describes the valuation methodologies used by the Company to measure various financial instruments at fair value, including an indication of the level in the fair value hierarchy in which each instrument is generally classified. Where appropriate, the description includes details of the valuation models, the key inputs to those models and any significant assumptions.

Market Valuation Adjustments
Generally, the unit of account for a financial instrument is the individual financial instrument. The Company applies market valuation adjustments that are consistent with the unit of account, which does not include adjustment due to the size of the Company’s position, except as follows. ASC 820-10 permits an exception, through an accounting policy election, to measure the fair value of a portfolio of financial assets and financial liabilities on the basis of the net open risk position when certain criteria are met. Citi has elected to measure certain portfolios of financial instruments that meet those criteria, such as derivatives, on the basis of the net open risk position. The Company applies market valuation adjustments, including adjustments to account for the size of the net open risk position, consistent with market participant assumptions.
Valuation adjustments are applied to items classified as Level 2 or Level 3 in the fair value hierarchy to ensure that the fair value reflects the price at which the net open risk position could be exited. These valuation adjustments are based on the bid/offer spread for an instrument in the market. When Citi has elected to measure certain portfolios of financial investments, such as derivatives, on the basis of the net open risk position, the valuation adjustment may take into account the size of the position.
Credit valuation adjustments (CVA) and funding valuation adjustments (FVA) are applied to the relevant population of over-the-counter (OTC) derivative instruments where adjustments to reflect counterparty credit risk, own credit risk and term funding risk are required to estimate fair value. This principally includes derivatives with a base valuation (e.g., discounted using overnight indexed swap (OIS)) requiring adjustment for these effects, such as uncollateralized interest rate swaps. The CVA represents a portfolio-level adjustment to reflect the risk premium associated with the counterparty’s (assets) or Citi’s (liabilities) non-performance risk.
FVA reflect a market funding risk premium inherent in the uncollateralized portion of a derivative portfolio and in certain collateralized derivative portfolios that do not include standard credit support annexes (CSAs), such as where the CSA does not permit the reuse of collateral received. Citi’s FVA methodology leverages the existing CVA methodology to estimate a funding exposure profile. The calculation of this exposure profile considers collateral agreements in which the terms do not permit the Company to reuse the collateral received, including where counterparties post collateral to third-party custodians.
Citi’s CVA and FVA methodology consists of two steps:

First, the exposure profile for each counterparty is determined using the terms of all individual derivative positions and a Monte Carlo simulation or other quantitative analysis to generate a series of expected cash flows at future points in time. The calculation of this exposure profile considers the effect of credit risk mitigants and sources of funding, including pledged cash or other collateral and any legal right of offset that exists with a counterparty through arrangements such as netting agreements. Individual derivative contracts that are subject to an enforceable master netting agreement with a counterparty are aggregated as a netting set for this purpose, since it is those aggregate net cash flows that are subject to nonperformance risk. This process identifies specific, point-in-time future cash flows that are subject to nonperformance risk and unsecured funding, rather than using the current recognized net asset or liability as a basis to measure the CVA and FVA.
Second, for CVA, market-based views of default probabilities derived from observed credit spreads in the credit default swap (CDS) market are applied to the expected future cash flows determined in step one. Citi’s own-credit CVA is determined using Citi-specific CDS spreads for the relevant tenor. Generally, counterparty CVA is determined using CDS spread indices for each credit rating and tenor. For certain identified netting sets where individual analysis is practicable (e.g., exposures to counterparties with liquid CDSs), counterparty-specific CDS spreads are used. For FVA, a term structure of future liquidity spreads is applied to the expected future funding requirement.

The CVA and FVA are designed to incorporate a market view of the credit and funding risk, respectively, inherent in the derivative portfolio. However, most unsecured derivative instruments are negotiated bilateral contracts and are not commonly transferred to third parties. Derivative instruments are normally settled contractually or, if terminated early, are terminated at a value negotiated bilaterally between the counterparties. Thus, the CVA and FVA may not be realized upon a settlement or termination in the normal course of business. In addition, all or a portion of these adjustments may be reversed or otherwise adjusted in future periods in the event of changes in the credit or funding risk associated with the derivative instruments.
The table below summarizes the CVA and FVA applied to the fair value of derivative instruments at December 31, 2018 and 2017:
 
Credit and funding valuation adjustments
contra-liability (contra-asset)
In millions of dollars
December 31,
2018
December 31,
2017
Counterparty CVA
$
(1,085
)
$
(970
)
Asset FVA
(544
)
(447
)
Citigroup (own-credit) CVA
482

287

Liability FVA
135

47

Total CVA—derivative instruments(1)
$
(1,012
)
$
(1,083
)

(1)
FVA is included with CVA for presentation purposes.

The table below summarizes pretax gains (losses) related to changes in CVA on derivative instruments, net of hedges, FVA on derivatives and debt valuation adjustments (DVA) on Citi’s own fair value option (FVO) liabilities for the years indicated:
 
Credit/funding/debt valuation
adjustments gain (loss)
In millions of dollars
2018
2017
2016
Counterparty CVA
$
(109
)
$
276

$
157

Asset FVA
46

90

47

Own-credit CVA
178

(153
)
17

Liability FVA
56

(15
)
(44
)
Total CVA—derivative instruments
$
171

$
198

$
177

DVA related to own FVO liabilities(1)
$
1,415

$
(680
)
$
(538
)
Total CVA and DVA(2)
$
1,586

$
(482
)
$
(361
)

(1)
See Notes 1 and 17 to the Consolidated Financial Statements.
(2)
FVA is included with CVA for presentation purposes.

Securities Purchased Under Agreements to Resell and Securities Sold Under Agreements to Repurchase
No quoted prices exist for these instruments, so fair value is determined using a discounted cash flow technique. Cash flows are estimated based on the terms of the contract, taking into account any embedded derivative or other features. These cash flows are discounted using interest rates appropriate to the maturity of the instrument as well as the nature of the underlying collateral. Generally, when such instruments are recorded at fair value, they are classified within Level 2 of the fair value hierarchy, as the inputs used in the valuation are readily observable. However, certain long-dated positions are classified within Level 3 of the fair value hierarchy.

Trading Account Assets and Liabilities—Trading Securities and Trading Loans
When available, the Company uses quoted market prices in active markets to determine the fair value of trading securities; such items are classified as Level 1 of the fair value hierarchy. Examples include government securities and exchange-traded equity securities.
For bonds and secondary market loans traded over the counter, the Company generally determines fair value utilizing valuation techniques, including discounted cash flows, price-based and internal models. Fair value estimates from these internal valuation techniques are verified, where possible, to prices obtained from independent sources, including third-party vendors. Vendors compile prices from various sources and may apply matrix pricing for similar bonds or loans where no price is observable. A price-based methodology utilizes, where available, quoted prices or other market information obtained from recent trading activity of assets with similar characteristics to the bond or loan being valued. The yields used in discounted cash flow models are derived from the same price information. Trading securities and loans priced using such methods are generally classified as Level 2. However, when less liquidity exists for a security or loan, a quoted price is stale, a significant adjustment to the price of a similar security or loan is necessary to reflect differences in the terms of the actual security or loan being valued, or prices from independent sources are insufficient to corroborate valuation, a loan or security is generally classified as Level 3. The price input used in a price-based methodology may be zero for a security, such as a subprime CDO, that is not receiving any principal or interest and is currently written down to zero.
When the Company’s principal market for a portfolio of loans is the securitization market, the Company uses the securitization price to determine the fair value of the portfolio. The securitization price is determined from the assumed proceeds of a hypothetical securitization in the current market, adjusted for transformation costs (i.e., direct costs other than transaction costs) and securitization uncertainties such as market conditions and liquidity. As a result of the severe reduction in the level of activity in certain securitization markets since the second half of 2007, observable securitization prices for certain directly comparable portfolios of loans have not been readily available. Therefore, such portfolios of loans are generally classified as Level 3 of the fair value hierarchy. However, for other loan securitization markets, such as commercial real estate loans, price verification of the hypothetical securitizations has been possible, since these markets have remained active. Accordingly, this loan portfolio is classified as Level 2 of the fair value hierarchy.
For most of the lending and structured direct subprime exposures, fair value is determined utilizing observable transactions where available, other market data for similar assets in markets that are not active and other internal valuation techniques. The valuation of certain asset-backed security (ABS) CDO positions utilizes prices based on the underlying assets of the ABS CDO.

Trading Account Assets and Liabilities—Derivatives
Exchange-traded derivatives, measured at fair value using quoted (i.e., exchange) prices in active markets, where available, are classified as Level 1 of the fair value hierarchy.
Derivatives without a quoted price in an active market and derivatives executed over the counter are valued using internal valuation techniques. These derivative instruments are classified as either Level 2 or Level 3 depending on the observability of the significant inputs to the model.
The valuation techniques depend on the type of derivative and the nature of the underlying instrument. The principal techniques used to value these instruments are discounted cash flows and internal models, such as derivative pricing models (e.g., Black-Scholes and Monte Carlo simulations).
The key inputs depend upon the type of derivative and the nature of the underlying instrument and include interest rate yield curves, foreign exchange rates, volatilities and correlation. The Company typically uses OIS curves as fair value measurement inputs for the valuation of certain derivatives.

Investments
The investments category includes available-for-sale debt and marketable equity securities whose fair values are generally determined by utilizing similar procedures described for trading securities above or, in some cases, using vendor pricing as the primary source.
Also included in investments are nonpublic investments in private equity and real estate entities. Determining the fair value of nonpublic securities involves a significant degree of management judgment, as no quoted prices exist and such securities are generally thinly traded. In addition, there may be transfer restrictions on private equity securities. The Company’s process for determining the fair value of such securities utilizes commonly accepted valuation techniques, including comparables analysis. In determining the fair value of nonpublic securities, the Company also considers events such as a proposed sale of the investee company, initial public offerings, equity issuances or other observable transactions. Private equity securities are generally classified as Level 3 of the fair value hierarchy.
In addition, the Company holds investments in certain alternative investment funds that calculate NAV per share, including hedge funds, private equity funds and real estate funds. Investments in funds are generally classified as non-marketable equity securities carried at fair value. The fair values of these investments are estimated using the NAV per share of the Company’s ownership interest in the funds where it is not probable that the investment will be realized at a price other than the NAV. Consistent with the provisions of ASU 2015-07, these investments have not been categorized within the fair value hierarchy and are not included in the tables below. See Note 13 to the Consolidated Financial Statements for additional information.

Short-Term Borrowings and Long-Term Debt
Where fair value accounting has been elected, the fair value of non-structured liabilities is determined by utilizing internal models using the appropriate discount rate for the applicable maturity. Such instruments are generally classified as Level 2 of the fair value hierarchy when all significant inputs are readily observable.
The Company determines the fair value of hybrid financial instruments, including structured liabilities, using the appropriate derivative valuation methodology (described above in “Trading Account Assets and Liabilities—Derivatives”) given the nature of the embedded risk profile. Such instruments are classified as Level 2 or Level 3 depending on the observability of significant inputs to the model.
Items Measured at Fair Value on a Recurring Basis
The following tables present for each of the fair value hierarchy levels the Company’s assets and liabilities that are measured at fair value on a recurring basis at December 31, 2018 and 2017. The Company may hedge positions that have been classified in the Level 3 category with other financial instruments (hedging instruments) that may be classified as Level 3, but also with financial instruments classified as Level 1 or Level 2 of the fair value hierarchy. The effects of these hedges are presented gross in the following tables:

Fair Value Levels
In millions of dollars at December 31, 2018
Level 1
Level 2
Level 3
Gross
inventory
Netting(1)
Net
balance
Assets
 
 
 
 
 
 
Federal funds sold and securities borrowed and purchased under agreements to resell
$

$
214,570

$
115

$
214,685

$
(66,984
)
$
147,701

Trading non-derivative assets
 
 
 
 
 
 
Trading mortgage-backed securities
 
 
 
 
 
 
U.S. government-sponsored agency guaranteed

24,090

156

24,246


24,246

Residential

709

268

977


977

Commercial

1,323

77

1,400


1,400

Total trading mortgage-backed securities
$

$
26,122

$
501

$
26,623

$

$
26,623

U.S. Treasury and federal agency securities
$
26,439

$
4,802

$
1

$
31,242

$

$
31,242

State and municipal

3,782

200

3,982


3,982

Foreign government
43,309

21,179

31

64,519


64,519

Corporate
1,026

14,510

360

15,896


15,896

Equity securities
36,342

7,308

153

43,803


43,803

Asset-backed securities

1,429

1,484

2,913


2,913

Other trading assets(2)
3

12,198

818

13,019


13,019

Total trading non-derivative assets
$
107,119

$
91,330

$
3,548

$
201,997

$

$
201,997

Trading derivatives




 
 
Interest rate contracts
$
101

$
169,860

$
1,671

$
171,632

 
 
Foreign exchange contracts

162,108

346

162,454

 
 
Equity contracts
647

28,903

343

29,893

 
 
Commodity contracts

16,788

767

17,555

 
 
Credit derivatives

9,839

926

10,765

 
 
Total trading derivatives
$
748

$
387,498

$
4,053

$
392,299

 
 
Cash collateral paid(3)
 
 
 
$
11,518

 
 
Netting agreements
 
 
 
 
$
(311,089
)
 
Netting of cash collateral received
 
 
 
 
(38,608
)
 
Total trading derivatives
$
748

$
387,498

$
4,053

$
403,817

$
(349,697
)
$
54,120

Investments
 
 
 
 
 
 
Mortgage-backed securities
 
 
 
 
 
 
U.S. government-sponsored agency guaranteed
$

$
42,988

$
32

$
43,020

$

$
43,020

Residential

1,313


1,313


1,313

Commercial

172


172


172

Total investment mortgage-backed securities
$

$
44,473

$
32

$
44,505

$

$
44,505

  U.S. Treasury and federal agency securities
$
107,577

$
9,645

$

$
117,222

$

$
117,222

State and municipal

8,498

708

9,206


9,206

Foreign government
58,252

42,371

68

100,691


100,691

Corporate
4,410

7,033

156

11,599


11,599

Marketable equity securities
206

14


220


220

Asset-backed securities

656

187

843


843

Other debt securities

3,972


3,972


3,972

Non-marketable equity securities(4)

96

586

682


682

Total investments
$
170,445

$
116,758

$
1,737

$
288,940

$

$
288,940

Table continues on the next page, including footnotes.
In millions of dollars at December 31, 2018
Level 1
Level 2
Level 3
Gross
inventory
Netting(1)
Net
balance
Loans
$

$
2,946

$
277

$
3,223

$

$
3,223

Mortgage servicing rights


584

584


584

Non-trading derivatives and other financial assets measured on a recurring basis
$
15,839

$
4,949

$

$
20,788

$

$
20,788

Total assets
$
294,151

$
818,051

$
10,314

$
1,134,034

$
(416,681
)
$
717,353

Total as a percentage of gross assets(5)
26.2
%
72.9
%
0.9
%






Liabilities
 
 
 
 
 
 
Interest-bearing deposits
$

$
980

$
495

$
1,475

$

$
1,475

Federal funds purchased and securities loaned and sold under agreements to repurchase

110,511

983

111,494

(66,984
)
44,510

Trading account liabilities
 
 
 
 
 
 
Securities sold, not yet purchased
78,872

11,364

586

90,822


90,822

Other trading liabilities

1,547


1,547


1,547

Total trading liabilities
$
78,872

$
12,911

$
586

$
92,369

$

$
92,369

Trading derivatives
 
 
 
 
 
 
Interest rate contracts
$
71

$
152,931

$
1,825

$
154,827

 
 
Foreign exchange contracts

159,003

352

159,355

 
 
Equity contracts
351

32,330

1,127

33,808

 
 
Commodity contracts

19,904

785

20,689

 
 
Credit derivatives

9,486

865

10,351

 
 
Total trading derivatives
$
422

$
373,654

$
4,954

$
379,030

 
 
Cash collateral received(6)
 
 
 
$
13,906

 
 
Netting agreements
 
 
 
 
$
(311,089
)
 
Netting of cash collateral paid
 
 
 
 
(29,911
)
 
Total trading derivatives
$
422

$
373,654

$
4,954

$
392,936

$
(341,000
)
$
51,936

Short-term borrowings
$

$
4,446

$
37

$
4,483

$

$
4,483

Long-term debt

25,659

12,570

38,229


38,229

Total non-trading derivatives and other financial liabilities measured on a recurring basis
$
15,839

$
67

$

$
15,906

$

$
15,906

Total liabilities
$
95,133

$
528,228

$
19,625

$
656,892

$
(407,984
)
$
248,908

Total as a percentage of gross liabilities(5)
14.8
%
82.1
%
3.1
%
 
 
 

(1)
Represents netting of (i) the amounts due under securities purchased under agreements to resell and the amounts owed under securities sold under agreements to repurchase and (ii) derivative exposures covered by a qualifying master netting agreement and cash collateral offsetting.
(2)
Includes positions related to investments in unallocated precious metals, as discussed in Note 25 to the Consolidated Financial Statements. Also includes physical commodities accounted for at the lower of cost or fair value and unfunded credit products.
(3)
Reflects the net amount of $41,429 million of gross cash collateral paid, of which $29,911 million was used to offset trading derivative liabilities.
(4)
Amounts exclude $0.2 billion of investments measured at NAV in accordance with ASU No. 2015-07, Fair Value Measurement (Topic 820): Disclosures for Investments in Certain Entities That Calculate Net Asset Value per Share (or Its Equivalent).
(5)
Because the amount of the cash collateral paid/received has not been allocated to the Level 1, 2 and 3 subtotals, these percentages are calculated based on total assets and liabilities measured at fair value on a recurring basis, excluding the cash collateral paid/received on derivatives.
(6)
Reflects the net amount of $52,514 million of gross cash collateral received, of which $38,608 million was used to offset trading derivative assets.
Fair Value Levels
In millions of dollars at December 31, 2017
Level 1
Level 2
Level 3
Gross
inventory
Netting(1)
Net
balance
Assets
 
 
 
 
 
 
Federal funds sold and securities borrowed and purchased under agreements to resell
$

$
188,571

$
16

$
188,587

$
(55,638
)
$
132,949

Trading non-derivative assets
 
 
 
 
 
 
Trading mortgage-backed securities
 
 
 
 
 
 
U.S. government-sponsored agency guaranteed

22,801

163

22,964


22,964

Residential

649

164

813


813

Commercial

1,309

57

1,366


1,366

Total trading mortgage-backed securities
$

$
24,759

$
384

$
25,143

$

$
25,143

U.S. Treasury and federal agency securities
$
17,524

$
3,613

$

$
21,137

$

$
21,137

State and municipal

4,426

274

4,700


4,700

Foreign government
39,347

20,843

16

60,206


60,206

Corporate
301

15,129

275

15,705


15,705

Equity securities
53,305

6,794

120

60,219


60,219

Asset-backed securities

1,198

1,590

2,788


2,788

Other trading assets(2)
3

11,105

615

11,723


11,723

Total trading non-derivative assets
$
110,480

$
87,867

$
3,274

$
201,621

$

$
201,621

Trading derivatives
 
 
 
 
 
 
Interest rate contracts
$
145

$
203,134

$
1,708

$
204,987

 
 
Foreign exchange contracts
19

121,363

577

121,959

 
 
Equity contracts
2,364

24,170

444

26,978

 
 
Commodity contracts
282

13,252

569

14,103

 
 
Credit derivatives

19,624

910

20,534

 
 
Total trading derivatives
$
2,810

$
381,543

$
4,208

$
388,561

 
 
Cash collateral paid(3)
 
 
 
$
7,541

 
 
Netting agreements
 
 
 
 
$
(306,401
)
 
Netting of cash collateral received
 
 
 
 
(38,532
)
 
Total trading derivatives
$
2,810

$
381,543

$
4,208

$
396,102

$
(344,933
)
$
51,169

Investments
 
 
 
 
 
 
Mortgage-backed securities
 
 
 
 
 
 
U.S. government-sponsored agency guaranteed
$

$
41,717

$
24

$
41,741

$

$
41,741

Residential

2,884


2,884


2,884

Commercial

329

3

332


332

Total investment mortgage-backed securities
$

$
44,930

$
27

$
44,957

$

$
44,957

U.S. Treasury and federal agency securities
$
106,964

$
11,182

$

$
118,146

$

$
118,146

State and municipal

8,028

737

8,765


8,765

Foreign government
56,456

43,985

92

100,533


100,533

Corporate
1,911

12,127

71

14,109


14,109

Marketable equity securities
176

11

2

189


189

Asset-backed securities

3,091

827

3,918


3,918

Other debt securities

297


297


297

Non-marketable equity securities(4)

121

681

802


802

Total investments
$
165,507

$
123,772

$
2,437

$
291,716

$

$
291,716

In millions of dollars at December 31, 2017
Level 1
Level 2
Level 3
Gross
inventory
Netting(1)
Net
balance
Loans
$

$
3,824

$
550

$
4,374

$

$
4,374

Mortgage servicing rights


558

558


558

Non-trading derivatives and other financial assets measured on a recurring basis
$
13,903

$
4,640

$
16

$
18,559

$

$
18,559

Total assets
$
292,700

$
790,217

$
11,059

$
1,101,517

$
(400,571
)
$
700,946

Total as a percentage of gross assets(5)
26.8
%
72.2
%
1.0
%
 
 
 
Liabilities
 
 
 
 
 
 
Interest-bearing deposits
$

$
1,179

$
286

$
1,465

$

$
1,465

Federal funds purchased and securities loaned and sold under agreements to repurchase

95,550

726

96,276

(55,638
)
40,638

Trading account liabilities
 
 
 
 
 
 
Securities sold, not yet purchased
65,843

10,306

22

76,171


76,171

Other trading liabilities

1,409

5

1,414


1,414

Total trading liabilities
$
65,843

$
11,715

$
27

$
77,585

$

$
77,585

Trading account derivatives
 
 
 
 
 
 
Interest rate contracts
$
137

$
182,372

$
2,130

$
184,639

 
 
Foreign exchange contracts
9

120,316

447

120,772

 
 
Equity contracts
2,430

26,472

2,471

31,373

 
 
Commodity contracts
115

14,482

2,430

17,027

 
 
Credit derivatives

19,824

1,709

21,533

 
 
Total trading derivatives
$
2,691

$
363,466

$
9,187

$
375,344

 
 
Cash collateral received(6)
 
 
 
$
14,308

 
 
Netting agreements
 
 
 
 
$
(306,401
)
 
Netting of cash collateral paid
 
 
 
 
(35,666
)
 
Total trading derivatives
$
2,691

$
363,466

$
9,187

$
389,652

$
(342,067
)
$
47,585

Short-term borrowings
$

$
4,609

$
18

$
4,627

$

$
4,627

Long-term debt

18,310

13,082

31,392


31,392

Non-trading derivatives and other financial liabilities measured on a recurring basis
$
13,903

$
50

$
8

$
13,961

$

$
13,961

Total liabilities
$
82,437

$
494,879

$
23,334

$
614,958

$
(397,705
)
$
217,253

Total as a percentage of gross liabilities(5)
13.7
%
82.4
%
3.9
%
 
 
 

(1)
Represents netting of (i) the amounts due under securities purchased under agreements to resell and the amounts owed under securities sold under agreements to repurchase and (ii) derivative exposures covered by a qualifying master netting agreement and cash collateral offsetting.
(2)
Includes positions related to investments in unallocated precious metals, as discussed in Note 25 to the Consolidated Financial Statements. Also includes physical commodities accounted for at the lower of cost or fair value and unfunded credit products.
(3)
Reflects the net amount of $43,207 million of gross cash collateral paid, of which $35,666 million was used to offset trading derivative liabilities.
(4)
Amounts exclude $0.4 billion of investments measured at NAV in accordance with ASU 2015-07.
(5)
Because the amount of the cash collateral paid/received has not been allocated to the Level 1, 2 and 3 subtotals, these percentages are calculated based on total assets and liabilities measured at fair value on a recurring basis, excluding the cash collateral paid/received on derivatives.
(6)
Reflects the net amount of $52,840 million of gross cash collateral received, of which $38,532 million was used to offset trading derivative assets.
Changes in Level 3 Fair Value Category
The following tables present the changes in the Level 3 fair value category for the years ended December 31, 2018 and 2017. The gains and losses presented below include changes in the fair value related to both observable and unobservable inputs.
The Company often hedges positions with offsetting positions that are classified in a different level. For example, the gains and losses for assets and liabilities in the Level 3 category presented in the tables below do not reflect the effect of offsetting losses and gains on hedging instruments that may be classified in the Level 1 and Level 2 categories. In addition, the Company hedges items classified in the Level 3 category with instruments also classified in Level 3 of the fair value hierarchy. The hedged items and related hedges are presented gross in the following tables:

Level 3 Fair Value Rollforward
 
 
Net realized/unrealized
gains (losses) included in
Transfers
 
 
 
 
 
Unrealized
gains
(losses)
still held
(3)
In millions of dollars
Dec. 31, 2017
Principal
transactions
Other(1)(2)
into
Level 3
out of
Level 3
Purchases
Issuances
Sales
Settlements
Dec. 31, 2018
Assets
 
 
 
 
 
 
 
 
 
 
 
Federal funds sold and securities borrowed and purchased under agreements to resell
$
16

$
17

$

$
50

$

$
95

$

$
16

$
(79
)
$
115

$
9

Trading non-derivative assets
 
 
 
 
 
 
 
 
 
 
 
Trading mortgage-backed securities
 
 
 
 
 
 
 
 
 
 
 
U.S. government-sponsored agency guaranteed
163

5


92

(107
)
281


(278
)

156

186

Residential
164

112


124

(133
)
154


(153
)

268

4

Commercial
57

(7
)

24

(49
)
110


(58
)

77


Total trading mortgage-backed securities
$
384

$
110

$

$
240

$
(289
)
$
545

$

$
(489
)
$

$
501

$
190

U.S. Treasury and federal agency securities
$

$

$

$
6

$
(4
)
$
1

$

$

$
(2
)
$
1

$

State and municipal
274

22



(96
)
45


(45
)

200

9

Foreign government
16

(2
)

5

(13
)
75


(50
)

31

(28
)
Corporate
275

(72
)

138

(122
)
596

(40
)
(415
)

360

(32
)
Equity securities
120

2


25

(62
)
290


(222
)

153

(56
)
Asset-backed securities
1,590

28


77

(90
)
1,238


(1,359
)

1,484

(21
)
Other trading assets
615

276


197

(82
)
598

8

(777
)
(17
)
818

91

Total trading non-derivative assets
$
3,274

$
364

$

$
688

$
(758
)
$
3,388

$
(32
)
$
(3,357
)
$
(19
)
$
3,548

$
153

Trading derivatives, net(4)
 
 
 
 
 
 
 
 
 
 
 
Interest rate contracts
$
(422
)
$
414

$

$
(6
)
$
(193
)
$
8

$
17

$
(32
)
$
60

$
(154
)
$
336

Foreign exchange contracts
130

(99
)

(29
)
77

11


(89
)
(7
)
(6
)
(72
)
Equity contracts
(2,027
)
479


(131
)
1,114

25

(44
)
(17
)
(183
)
(784
)
52

Commodity contracts
(1,861
)
(505
)

(32
)
2,180

62


(19
)
157

(18
)
(171
)
Credit derivatives
(799
)
261


(7
)
391

2


1

212

61

87

Total trading derivatives, net(4)
$
(4,979
)
$
550

$

$
(205
)
$
3,569

$
108

$
(27
)
$
(156
)
$
239

$
(901
)
$
232

Table continues on the next page, including footnotes.
 
 
Net realized/unrealized
gains (losses) included in
Transfers
 
 
 
 
 
Unrealized
gains
(losses)
still held
(3)
In millions of dollars
Dec. 31, 2017
Principal
transactions
Other(1)(2)
into
Level 3
out of
Level 3
Purchases
Issuances
Sales
Settlements
Dec. 31, 2018
Investments
 
 
 
 
 
 
 
 
 
 
 
Mortgage-backed securities
 
 
 
 
 
 
 
 
 
 
 
U.S. government-sponsored agency guaranteed
$
24

$

$
10

$

$

$

$

$
(2
)
$

$
32

$
14

Residential











Commercial
3


2

1

(1
)


(5
)



Total investment mortgage-backed securities
$
27

$

$
12

$
1

$
(1
)
$

$

$
(7
)
$

$
32

$
14

U.S. Treasury and federal agency securities
$

$

$

$

$

$

$

$

$

$

$

State and municipal
737


(20
)

(18
)
211


(202
)

708

(29
)
Foreign government
92


(3
)
3

(4
)
141


(161
)

68

4

Corporate
71


(1
)
61

(66
)
101


(10
)

156


Marketable equity securities
2


1





(2
)
(1
)


Asset-backed securities
827


(21
)
10

(524
)
63


(168
)

187


Other debt securities











Non-marketable equity securities
681


(95
)
193


91


(234
)
(50
)
586

55

Total investments
$
2,437

$

$
(127
)
$
268

$
(613
)
$
607

$

$
(784
)
$
(51
)
$
1,737

$
44

Loans
$
550

$

$
(319
)
$

$
13

$
140

$

$
(103
)
$
(4
)
$
277

$
236

Mortgage servicing rights
558


54




58

(18
)
(68
)
584

59

Other financial assets measured on a recurring basis
16


51


(11
)
4

12

(12
)
(60
)

63

Liabilities
 
 
 
 
 
 
 
 
 
 
 
Interest-bearing deposits
$
286

$

$
14

$
13

$
(1
)
$

$
215

$

$
(4
)
$
495

$
(355
)
Federal funds purchased and securities loaned and sold under agreements to repurchase
726

(8
)

1



243

(31
)
36

983

24

Trading account liabilities
 
 
 
 
 
 
 
 
 
 
 
Securities sold, not yet purchased
22

(454
)

187

(172
)
7

226

(39
)
(99
)
586

(238
)
Other trading liabilities
5

5










Short-term borrowings
18

53


72

(46
)

86


(40
)
37

25

Long-term debt
13,082

(182
)

2,850

(3,514
)
36

(18
)
(45
)
(3
)
12,570

(2,871
)
Other financial liabilities measured on a recurring basis
8


(2
)
1

(10
)

2


(3
)

(8
)
(1)
Changes in fair value for available-for-sale investments are recorded in AOCI, unless related to other-than-temporary impairment, while gains and losses from sales are recorded in Realized gains (losses) from sales of investments in the Consolidated Statement of Income.
(2)
Unrealized gains (losses) on MSRs are recorded in Other revenue in the Consolidated Statement of Income.
(3)
Represents the amount of total gains or losses for the period, included in earnings (and AOCI for changes in fair value of available-for-sale investments), attributable to the change in fair value relating to assets and liabilities classified as Level 3 that are still held at December 31, 2018.
(4)
Total Level 3 trading derivative assets and liabilities have been netted in these tables for presentation purposes only.



 
 
Net realized/unrealized
gains (losses) included in
Transfers
 
 
 
 
 
Unrealized
gains
(losses)
still held
(3)
In millions of dollars
Dec. 31, 2016
Principal
transactions
Other(1)(2)
into
Level 3
out of
Level 3
Purchases
Issuances
Sales
Settlements
Dec. 31, 2017
Assets
 
 
 
 
 
 
 
 
 
 
 
Federal funds sold and securities borrowed and purchased under agreements to resell
$
1,496

$
(281
)
$

$

$
(1,198
)
$

$

$

$
(1
)
$
16

$
1

Trading non-derivative assets
 
 
 
 
 
 
 
 
 
 
 
Trading mortgage-backed securities
 
 
 
 
 
 
 
 
 
 
 
U.S. government-sponsored agency guaranteed
176

23


176

(174
)
463


(504
)
3

163

2

Residential
399

86


95

(118
)
126


(424
)

164

14

Commercial
206

15


69

(57
)
450


(626
)

57

(5
)
Total trading mortgage-backed securities
$
781

$
124

$

$
340

$
(349
)
$
1,039

$

$
(1,554
)
$
3

$
384

$
11

U.S. Treasury and federal agency securities
$
1

$

$

$

$

$

$

$
(1
)
$

$

$

State and municipal
296

28


24

(48
)
161

(23
)
(164
)

274

8

Foreign government
40

1


89

(228
)
291


(177
)

16


Corporate
324

344


140

(185
)
482

(8
)
(828
)
6

275

81

Equity securities
127

54


210

(58
)
51

(3
)
(261
)

120


Asset-backed securities
1,868

284


44

(178
)
1,457


(1,885
)

1,590

36

Other trading assets
2,814

117


474

(2,691
)
2,195

11

(2,285
)
(20
)
615

60

Total trading non-derivative assets
$
6,251

$
952

$

$
1,321

$
(3,737
)
$
5,676

$
(23
)
$
(7,155
)
$
(11
)
$
3,274

$
196

Trading derivatives, net(4)
 
 
 
 
 
 
 
 
 
 
 
Interest rate contracts
$
(663
)
$
(44
)
$

$
(28
)
$
610

$
154

$
(13
)
$
(322
)
$
(116
)
$
(422
)
$
77

Foreign exchange contracts
413

(438
)

54

(60
)
33

14

(21
)
135

130

(139
)
Equity contracts
(1,557
)
129


(159
)
28

184

(216
)
(333
)
(103
)
(2,027
)
(214
)
Commodity contracts
(1,945
)
(384
)

77

35


23

(3
)
336

(1,861
)
149

Credit derivatives
(1,001
)
(484
)

(28
)
18

6

16

(6
)
680

(799
)
(169
)
Total trading derivatives, net(4)
$
(4,753
)
$
(1,221
)
$

$
(84
)
$
631

$
377

$
(176
)
$
(685
)
$
932

$
(4,979
)
$
(296
)
Investments
 
 
 
 
 
 
 
 
 
 
 
Mortgage-backed securities
 
 
 
 
 
 
 
 
 
 
 
U.S. government-sponsored agency guaranteed
$
101

$

$
16

$
1

$
(94
)
$

$

$

$

$
24

$
(2
)
Residential
50


2


(47
)


(5
)



Commercial



3


12


(12
)

3


Total investment mortgage-backed securities
$
151

$

$
18

$
4

$
(141
)
$
12

$

$
(17
)
$

$
27

$
(2
)
U.S. Treasury and federal agency securities
$
2

$

$

$

$

$

$

$
(2
)
$

$

$

State and municipal
1,211


58

70

(517
)
127


(212
)

737

44

Foreign government
186



2

(284
)
523


(335
)

92

1

Corporate
311


9

77

(47
)
227


(506
)

71


Marketable equity securities
9


(1
)




(6
)

2


Asset-backed securities
660


(89
)
31

(32
)
883


(626
)

827

12

Other debt securities





21


(21
)



Non-marketable equity securities
1,331


(170
)
2


19


(233
)
(268
)
681

44

Total investments
$
3,861

$

$
(175
)
$
186

$
(1,021
)
$
1,812

$

$
(1,958
)
$
(268
)
$
2,437

$
99

Table continues on the next page, including footnotes.
 
 
Net realized/unrealized
gains (losses) included in
Transfers
 
 
 
 
 
Unrealized
gains
(losses)
still held
(3)
In millions of dollars
Dec. 31, 2016
Principal
transactions
Other(1)(2)
into
Level 3
out of
Level 3
Purchases
Issuances
Sales
Settlements
Dec. 31, 2017
Loans
$
568

$

$
75

$
80

$
(16
)
$
188

$

$
(337
)
$
(8
)
$
550

$
211

Mortgage servicing rights
1,564


65




96

(1,057
)
(110
)
558

74

Other financial assets measured on a recurring basis
34


(128
)
10

(8
)
1

318

(14
)
(197
)
16

(152
)
Liabilities
 
 
 
 
 
 
 
 
 
 
 
Interest-bearing deposits
$
293

$

$
25

$
40

$

$

$
2

$

$
(24
)
$
286

$
22

Federal funds purchased and securities loaned and sold under agreements to repurchase
849

14





36


(145
)
726

10

Trading account liabilities
 
 
 
 
 
 
 
 
 
 
 
Securities sold, not yet purchased
1,177

385


22

(796
)

17

277

(290
)
22

8

Other trading liabilities
1



4






5


Short-term borrowings
42

32


4

(7
)

31


(20
)
18

(3
)
Long-term debt
9,744

(1,083
)

1,251

(1,836
)
44

2,712


84

13,082

(1,554
)
Other financial liabilities measured on a recurring basis
8



5



5

(1
)
(9
)
8

(1
)
(1)
Changes in fair value of available-for-sale investments are recorded in AOCI, unless related to other-than-temporary impairment, while gains and losses from sales are recorded in Realized gains (losses) from sales of investments in the Consolidated Statement of Income.
(2)
Unrealized gains (losses) on MSRs are recorded in Other revenue in the Consolidated Statement of Income.
(3)
Represents the amount of total gains or losses for the period, included in earnings (and AOCI for changes in fair value of available-for-sale investments), attributable to the change in fair value relating to assets and liabilities classified as Level 3 that are still held at December 31, 2017.
(4)
Total Level 3 derivative assets and liabilities have been netted in these tables for presentation purposes only.

Level 3 Fair Value Rollforward
The following were the significant Level 3 transfers for the period December 31, 2017 to December 31, 2018:

Transfers of Equity Contract Derivatives of $1.1 billion from Level 3 to Level 2 related to equity derivatives where the unobservable components were deemed insignificant.
Transfers of Commodity Contract Derivatives of $2.2 billion from Level 3 to Level 2 related to commodity derivatives where the unobservable component of the derivatives were deemed insignificant.
Transfers of Long-Term Debt of $2.9 billion from Level 2 to Level 3, and of $3.5 billion from Level 3 to Level 2, mainly related to structured debt, reflecting changes in the significance of unobservable inputs as well as certain underlying market inputs becoming less or more observable.

The following were the significant Level 3 transfers for the period December 31, 2016 to December 31, 2017:

Transfers of Federal funds sold and securities borrowed or purchased under agreements to resell of $1.2 billion from Level 3 to Level 2, related to the significance of unobservable inputs as well as certain underlying market inputs becoming more observable and shortening of the remaining tenor of certain reverse repos. There is more transparency and observability for repo curves used in the valuation of structured reverse repos with tenors up to five years.
Transfers of Other trading assets of $2.7 billion from Level 3 to Level 2, related to trading loans, reflecting changes in the volume of market quotations changes in the significance of unobservable inputs for certain portfolios of trading loans economically hedging derivatives, and certain underlying market inputs becoming more observable as a result of secondary market transactions for portfolios of residential mortgage loans with similar characteristics.
Transfers of Long-term debt of $1.3 billion from Level 2 to Level 3, and of $1.8 billion from Level 3 to Level 2, mainly related to structured debt, reflecting changes in the significance of unobservable inputs as well as certain underlying market inputs becoming less or more observable.
Valuation Techniques and Inputs for Level 3 Fair
Value Measurements
The Company’s Level 3 inventory consists of both cash
instruments and derivatives of varying complexity. The
valuation methodologies used to measure the fair value of
these positions include discounted cash flow analysis, internal
models and comparative analysis. A position is classified
within Level 3 of the fair value hierarchy when at least one
input is unobservable and is considered significant to its
valuation. The specific reason an input is deemed
unobservable varies; for example, at least one significant
input to the pricing model is not observable in the market, at
least one significant input has been adjusted to make it more
representative of the position being valued or the price quote
available does not reflect sufficient trading activities.
The following tables present the valuation techniques covering the majority of Level 3 inventory and the most significant unobservable inputs used in Level 3 fair value measurements. Differences between this table and amounts presented in the Level 3 Fair Value Rollforward table represent individually immaterial items that have been measured using a variety of valuation techniques other than those listed.
As of December 31, 2018
Fair value(1)
 (in millions)
Methodology
Input
Low(2)(3)
High(2)(3)
Weighted
average(4)
Assets
 
 
 
 
 
 
Federal funds sold and securities borrowed and purchased under agreements to resell
$
115

Model-based
Interest rate
2.52
 %
7.43
%
5.08
 %
 
 
 
 






Mortgage-backed securities
$
313

Price-based
Price
$
11.25

$
110.35

$
90.07

 
198

Yield analysis
Yield
2.27
 %
8.70
%
3.74
 %
State and municipal, foreign government, corporate and other debt securities
$
1,212

Price-based
Price
$

$
103.75

$
91.39

 
938

Model-based
Credit spread
35 bps

446 bps

238 bps

Equity securities(5)
$
108

Price-based
Price
$

$
20,255.00

$
1,247.85

 
45

Model-based
WAL
1.47 years

1.47 years

1.47 years

Asset-backed securities
$
1,608

Price-based
Price
$
2.75

$
101.03

$
66.18

Non-marketable equity
$
293

Comparables analysis
Discount to price
 %
100.00
%
0.66
 %
 
255

Price-based
EBITDA multiples
5.00x

34.00x

9.73x

 
 
 
Net operating income multiple
24.70x

24.70x

24.70x

 
 
 
Price
$
2.38

$
1,073.80

$
420.24

 
 
 
Revenue multiple
2.25x

16.50x

7.06x

Derivatives—gross(6)
 
 
 
 
 
 
Interest rate contracts (gross)
$
3,467

Model-based
Mean reversion
1.00
 %
20.00
%
10.50
 %
 
 
 
Inflation volatility
0.22
 %
2.65
%
0.77
 %
 
 
 
IR normal volatility
0.16
 %
86.31
%
56.24
 %
Foreign exchange contracts (gross)
$
626

Model-based
Foreign exchange (FX) volatility
3.15
 %
17.35
%
11.37
 %
 
73

Cash flow
IR-IR correlation
(51.00
)%
40.00
%
32.69
 %
 
 
 
IR-FX correlation
40.00
 %
60.00
%
50.00
 %
 
 
 
Credit spread
39 bps

676 bps

423 bps

 
 
 
IR basis
(0.65
)%
0.11
%
(0.17
)%
 
 
 
Yield
6.98
 %
7.48
%
7.23
 %
Equity contracts (gross)(7)
$
1,467

Model-based
Equity volatility
3.00
 %
78.39
%
37.53
 %
 
 
 
Forward price
64.66
 %
144.45
%
98.55
 %
 
 
 
Equity-Equity correlation
(81.39
)%
100.00
%
35.49
 %
 
 
 
Equity-FX correlation
(86.27
)%
70.00
%
(1.20
)%
 
 
 
WAL
1.47 years

1.47 years

1.47 years

Commodity contracts (gross)
$
1,552

Model-based
Forward price
15.30
 %
585.07
%
145.08
 %
 
 
 
Commodity volatility
8.92
 %
59.86
%
20.34
 %
 
 
 
Commodity correlation
(51.90
)%
92.11
%
40.71
 %
As of December 31, 2018
Fair value(1)
 (in millions)
Methodology
Input
Low(2)(3)
High(2)(3)
Weighted
average(4)
Credit derivatives (gross)
$
1,089

Model-based
Credit correlation
5.00
 %
85.00
%
41.06
 %
 
701

Price-based
Upfront points
7.41
 %
99.04
%
58.95
 %
 
 
 
Credit spread
2 bps

1,127 bps

87 bps

 
 
 
Recovery rate
5.00
 %
65.00
%
46.40
 %
 
 
 
Price
$
16.59

$
98.00

$
81.19

Loans and leases
$
248

Model-based
Credit spread
138 bps

255 bps

147 bps

 
29

Price-based
Yield
0.30
 %
0.47
%
0.32
 %
 
 
 
Price
$
55.83

$
110.00

$
92.40

Mortgage servicing rights
$
501

Cash flow
Yield
4.60
 %
12.00
%
7.79
 %
 
84

Model-based
WAL
3.55 years

7.45 years

6.39 years

Liabilities
 
 
 
 
 
 
Interest-bearing deposits
$
495

Model-based
Mean reversion
1.00
 %
20.00
%
10.50
 %
 
 
 
Forward price
64.66
 %
144.45
%
98.55
 %
 
 
 
Equity volatility
3.00
 %
78.39
%
43.49
 %
Federal funds purchased and securities loaned and sold under agreements to repurchase
$
983

Model-based
Interest rate
2.52
 %
3.21
%
2.87
 %
Trading account liabilities
 
 
 
 
 
 
Securities sold, not yet purchased
$
509

Model-based
Forward price
15.30
 %
585.07
%
105.69
 %
 
77

Price-based
Equity volatility
3.00
 %
78.39
%
43.49
 %
 
 
 
Equity-Equity correlation
(81.39
)%
100.00
%
34.04
 %
 
 
 
Equity-FX correlation
(86.27
)%
70.00
%
(1.20
)%
 
 
 
Commodity volatility
8.92
 %
59.86
%
20.34
 %
 
 
 
Commodity correlation
(51.90
)%
92.11
%
40.71
 %
 
 
 
Equity-IR correlation
(40.00
)%
70.37
%
30.80
 %
 
 
 
 
 
 
 
Short-term borrowings and long-term debt
$
12,289

Model-based
Mean reversion
1.00
 %
20.00
%
10.50
 %
 
 
 
IR normal volatility
0.16
 %
86.31
%
56.61
 %
 
 
 
Forward price
64.66
 %
144.45
%
98.58
 %
 
 
 
Equity volatility
3.00
 %
78.39
%
43.24
 %
As of December 31, 2017
Fair value(1)
 (in millions)
Methodology
Input
Low(2)(3)
High(2)(3)
Weighted
average(4)
Assets
 
 
 
 
 
 
Federal funds sold and securities borrowed and purchased under agreements to resell
$
16

Model-based
Interest rate
1.43
 %
2.16
%
2.09
%
Mortgage-backed securities
$
214

Price-based
Price
$
2.96

$
101.00

$
56.52

 
184

Yield analysis
Yield
2.52
 %
14.06
%
5.97
%
State and municipal, foreign government, corporate and other debt securities
$
949

Model-based
Price
$

$
184.04

$
91.74

 
914

Price-based
Credit spread
35 bps

500 bps

249 bps

 
 
 
Yield
2.36
 %
14.25
%
6.03
%
Marketable equity securities(5)
$
65

Priced-based
Price
$

$
25,450.00

$
2,526.62

 
55

Model-based
WAL
2.50 years

2.50 years

2.50 years

Asset-backed securities
$
2,287

Price-based
Price
$
4.25

$
100.60

$
74.57

Non-marketable equity
$
423

Comparables analysis
EBITDA multiples
6.90x

12.80x

8.66x

As of December 31, 2017
Fair value(1)
 (in millions)
Methodology
Input
Low(2)(3)
High(2)(3)
Weighted
average(4)
 
223

Price-based
Discount to price
 %
100.00
%
11.83
%
 
 
 
Price-to-book ratio
0.05x

1.00x

0.32x

Derivatives—gross(6)
 
 
 
 
 
 
Interest rate contracts (gross)
$
3,818

Model-based
IR normal volatility
9.40
 %
77.40
%
58.86
%
 
 
 
Mean reversion
1.00
 %
20.00
%
10.50
%
Foreign exchange contracts (gross)
$
940

Model-based
Foreign exchange (FX) volatility
4.58
 %
15.02
%
8.16
%
 


 
Interest rate
(0.55
)%
0.28
%
0.04
%
 
 
 
IR-IR correlation
(51.00
)%
40.00
%
36.56
%
 
 
 
IR-FX correlation
(7.34
)%
60.00
%
49.04
%
 
 
 
Credit spread
11 bps

717 bps

173 bps

Equity contracts (gross)(7)
$
2,897

Model-based
Equity volatility
3.00
 %
68.93
%
24.66
%
 


 
Forward price
69.74
 %
154.19
%
92.80
%
Commodity contracts (gross)
$
2,937

Model-based
Forward price
3.66
 %
290.59
%
114.16
%
 
 
 
Commodity volatility
8.60
 %
66.73
%
25.04
%
 


 
Commodity correlation
(37.64
)%
91.71
%
15.21
%
Credit derivatives (gross)
$
1,797

Model-based
Credit correlation
25.00
 %
90.00
%
44.64
%
 
823

Price-based
Upfront points
6.03
 %
97.26
%
62.88
%
 
 
 
Credit spread
3 bps

1,636 bps

173 bps

 
 
 
Price
$
1.00

$
100.24

$
57.63

Nontrading derivatives and other financial assets and liabilities measured on a recurring basis (gross)(6)
$
24

Model-based
Recovery rate
25.00
 %
40.00
%
31.56
%
 
 
 
Redemption rate
10.72
 %
99.50
%
74.24
%
 
 
 
Credit spread
38 bps

275 bps

127 bps

 
 
 
Upfront points
61.00
 %
61.00
%
61.00
%
Loans and leases
$
391

Model-based
Equity volatility
3.00
 %
68.93
%
22.52
%
 
148

Price-based
Credit spread
134 bps

500 bps

173 bps

 

 
Yield
3.09
 %
4.40
%
3.13
%
Mortgage servicing rights
$
471

Cash flow
Yield
8.00
 %
16.38
%
11.47
%
 
87

Model-based
WAL
3.83 years

6.89 years

5.93 years

Liabilities
 
 
 






Interest-bearing deposits
$
286

Model-based
Mean reversion
1.00
 %
20.00
%
10.50
%
 


 
Forward price
99.56
 %
99.95
%
99.72
%
Federal funds purchased and securities loaned and sold under agreements to repurchase
$
726

Model-based
Interest rate
1.43
 %
2.16
%
2.09
%
Trading account liabilities
 
 
 






Securities sold, not yet purchased
$
21

Price-based
Price
$
1.00

$
287.64

$
88.19

Short-term borrowings and long-term debt
$
13,100

Model-based
Forward price
69.74
 %
161.11
%
100.70
%
(1)
The fair value amounts presented in these tables represent the primary valuation technique or techniques for each class of assets or liabilities.
(2)
Some inputs are shown as zero due to rounding.
(3)
When the low and high inputs are the same, there is either a constant input applied to all positions or the methodology involving the input applies to only one large position.
(4)
Weighted averages are calculated based on the fair values of the instruments.
(5)
For equity securities, the price and fund NAV inputs are expressed on an absolute basis, not as a percentage of the notional amount.
(6)
Both trading and nontrading account derivatives—assets and liabilities—are presented on a gross absolute value basis.
(7)
Includes hybrid products.

Uncertainty of Fair Value Measurements Relating to Unobservable Inputs
Valuation uncertainty arises when there is insufficient or disperse market data to allow a precise determination of the exit value of a fair-valued position or portfolio in today’s market. This is especially prevalent in Level 3 fair value instruments, where uncertainty exists in valuation inputs that may be both unobservable and significant to the instrument’s (or portfolio’s) overall fair value measurement. The uncertainties associated with key unobservable inputs on the Level 3 fair value measurements may not be independent of one another. In addition, the amount and direction of the uncertainty on a fair value measurement for a given change in an unobservable input depends on the nature of the instrument as well as whether the Company holds the instrument as an asset or a liability. For certain instruments, the pricing, hedging and risk management are sensitive to the correlation between various inputs rather than on the analysis and aggregation of the individual inputs.
The following section describes some of the most significant unobservable inputs used by the Company in Level 3 fair value measurements.

Correlation
Correlation is a measure of the extent to which two or more variables change in relation to each other. A variety of correlation-related assumptions are required for a wide range of instruments, including equity and credit baskets, foreign exchange options, CDOs backed by loans or bonds, mortgages, subprime mortgages and many other instruments. For almost all of these instruments, correlations are not directly observable in the market and must be calculated using alternative sources, including historical information. Estimating correlation can be especially difficult where it may vary over time, and calculating correlation information from market data requires significant assumptions regarding the informational efficiency of the market (e.g., swaption markets). Uncertainty therefore exists when an estimate of the appropriate level of correlation as an input into some fair value measurements is required.
Changes in correlation levels can have a substantial impact, favorable or unfavorable, on the value of an instrument, depending on its nature. A change in the default correlation of the fair value of the underlying bonds comprising a CDO structure would affect the fair value of the senior tranche. For example, an increase in the default correlation of the underlying bonds would reduce the fair value of the senior tranche, because highly correlated instruments produce greater losses in the event of default and a portion of these losses would become attributable to the senior tranche. That same change in default correlation would have a different impact on junior tranches of the same structure.

Volatility
Volatility represents the speed and severity of market price changes and is a key factor in pricing options. Volatility generally depends on the tenor of the underlying instrument and the strike price or level defined in the contract. Volatilities for certain combinations of tenor and strike are not observable and need to be estimated using alternative methods, such as using comparable instruments, historical analysis or other sources of market information. This leads to uncertainty around the final fair value measurement of instruments with unobservable volatilities.
The general relationship between changes in the value of a portfolio to changes in volatility also depends on changes in interest rates and the level of the underlying index. Generally, long option positions (assets) benefit from increases in volatility, whereas short option positions (liabilities) will suffer losses. Some instruments are more sensitive to changes in volatility than others. For example, an at-the-money option would experience a greater percentage change in its fair value than a deep-in-the-money option. In addition, the fair value of an option with more than one underlying security (e.g., an option on a basket of bonds) depends on the volatility of the individual underlying securities as well as their correlations.

Yield
In some circumstances, the yield of an instrument is not observable in the market and must be estimated from historical data or from yields of similar securities. This estimated yield may need to be adjusted to capture the characteristics of the security being valued. In other situations, the estimated yield may not represent sufficient market liquidity and must be adjusted as well. Whenever the amount of the adjustment is significant to the value of the security, the fair value measurement is classified as Level 3.
Adjusted yield is generally used to discount the projected future principal and interest cash flows on instruments, such as asset-backed securities. Adjusted yield is impacted by changes in the interest rate environment and relevant credit spreads.

Prepayment
Voluntary unscheduled payments (prepayments) change the future cash flows for the investor and thereby change the fair value of the security. The effect of prepayments is more pronounced for residential mortgage-backed securities. An increase in prepayments—in speed or magnitude—generally creates losses for the holder of these securities. Prepayment is generally negatively correlated with delinquency and interest rate. A combination of low prepayment and high delinquencies amplifies each input’s negative impact on mortgage securities’ valuation. As prepayment speeds change, the weighted average life of the security changes, which impacts the valuation either positively or negatively, depending upon the nature of the security and the direction of the change in the weighted average life.

Recovery
Recovery is the proportion of the total outstanding balance of a bond or loan that is expected to be collected in a liquidation scenario. For many credit securities (such as asset-backed securities), there is no directly observable market input for recovery, but indications of recovery levels are available from pricing services. The assumed recovery of a security may differ from its actual recovery that will be observable in the future. The recovery rate impacts the valuation of credit securities. Generally, an increase in the recovery rate assumption increases the fair value of the security. An increase in loss severity, the inverse of the recovery rate, reduces the amount of principal available for distribution and, as a result, decreases the fair value of the security.

Credit Spread
Credit spread is a component of the security representing its credit quality. Credit spread reflects the market perception of changes in prepayment, delinquency and recovery rates, therefore capturing the impact of other variables on the fair value. Changes in credit spread affect the fair value of
securities differently depending on the characteristics and maturity profile of the security. For example, credit spread is a more significant driver of the fair value measurement of a high yield bond as compared to an investment grade bond. Generally, the credit spread for an investment grade bond is also more observable and less volatile than its high yield counterpart.
Items Measured at Fair Value on a Nonrecurring Basis
Certain assets and liabilities are measured at fair value on a nonrecurring basis and therefore are not included in the tables above. These include assets measured at cost that have been written down to fair value during the periods as a result of an impairment. These also include non-marketable equity securities that have been measured using the measurement alternative and are either (i) written down to fair value during the periods as a result of an impairment or (ii) adjusted upward or downward to fair value as a result of a transaction observed during the periods for the identical or similar investment of the same issuer. In addition, these assets include loans HFS and other real estate owned that are measured at the lower of cost or market.
The following tables present the carrying amounts of all assets that were still held for which a nonrecurring fair value measurement was recorded:
In millions of dollars
Fair value
Level 2
Level 3
December 31, 2018
 
 
 
Loans HFS(1)
$
5,055

$
3,261

$
1,794

Other real estate owned
78

62

16

Loans(2)
390

139

251

Non-marketable equity securities measured using the measurement alternative
261

192

69

Total assets at fair value on a nonrecurring basis
$
5,784

$
3,654

$
2,130


In millions of dollars
Fair value
Level 2
Level 3
December 31, 2017
 
 
 
Loans HFS(1)
$
5,675

$
2,066

$
3,609

Other real estate owned
54

10

44

Loans(2)
630

216

414

Total assets at fair value on a nonrecurring basis
$
6,359

$
2,292

$
4,067


(1)
Net of fair value amounts on the unfunded portion of loans HFS, recognized within Other liabilities on the Consolidated Balance Sheet.
(2)
Represents impaired loans held for investment whose carrying amount is based on the fair value of the underlying collateral, primarily real estate secured loans.

The fair value of loans HFS is determined where possible using quoted secondary-market prices. If no such quoted price exists, the fair value of a loan is determined using quoted prices for a similar asset or assets, adjusted for the specific attributes of that loan. Fair value for the other real estate owned is based on appraisals. For loans whose carrying amount is based on the fair value of the underlying collateral, the fair values depend on the type of collateral. Fair value of the collateral is typically estimated based on quoted market prices if available, appraisals or other internal valuation techniques.
Where the fair value of the related collateral is based on an unadjusted appraised value, the loan is generally classified as Level 2. Where significant adjustments are made to the appraised value, the loan is classified as Level 3. Additionally, for corporate loans, appraisals of the collateral are often based on sales of similar assets; however, because the prices of similar assets require significant adjustments to reflect the unique features of the underlying collateral, these fair value measurements are generally classified as Level 3.
The fair value of non-marketable equity securities under the measurement alternative is based on observed transaction prices for the identical or similar investment of the same issuer, or an internal valuation technique in the case of an impairment. Where significant adjustments are made to the observed transaction price or when an internal valuation technique is used, the security is classified as Level 3. Fair value may differ from the observed transaction price due to a number of factors, including marketability adjustments and differences in rights and obligations when the observed transaction is not for the identical investment held by Citi.

Valuation Techniques and Inputs for Level 3 Nonrecurring Fair Value Measurements
The following tables present the valuation techniques covering the majority of Level 3 nonrecurring fair value measurements and the most significant unobservable inputs used in those measurements:
As of December 31, 2018
Fair value(1)
 (in millions)
Methodology
Input
Low(2)
High
Weighted
average(3)
Loans HFS
$
1,729

Price-based
Price
$
0.79

$
100.00

$
69.52

Other real estate owned
$
15

Price-based
Appraised value(4)
$
8,394,102

$
8,394,102

$
8,394,102

 
2

Recovery analysis
Discount to price(5)
13.00
%
13.00
%
13.00
%
 
 
 
Price
$
56.30

$
83.08

$
58.27

Loans(6)
$
251

Recovery analysis
Recovery rate
30.60
%
100.00
%
50.51
%
 

 
Price
$
2.60

$
85.04

$
28.21

Non-marketable equity securities measured using the measurement alternative
$
66

Price-based
Price
$
45.80

$
1,514.00

$
570.26


As of December 31, 2017
Fair value(1)
 (in millions)
Methodology
Input
Low(2)
High
Weighted
average(3)
Loans HFS
$
3,186

Price-based
Price
$
77.93

$
100.00

$
99.26

Other real estate owned
$
42

Price-based
Appraised value(4)
$
20,278

$
8,091,760

$
4,016,665

 


 
Discount to price
34.00
%
34.00
%
34.00
%
 
 
 
Price
$
30.00

$
50.36

$
49.09

Loans(4)
$
133

Price-based
Price
$
2.80

$
100.00

$
62.46

 
129

Cash flow
Recovery rate
50.00
%
100.00
%
63.59
%
 
127

Recovery analysis
Appraised value
$

$
45,500,000

$
38,785,667



(1)
The fair value amounts presented in this table represent the primary valuation technique or techniques for each class of assets or liabilities.
(2)
Some inputs are shown as zero due to rounding.
(3)
Weighted averages are calculated based on the fair values of the instruments.
(4)
Appraised values are disclosed in whole dollars.
(5)
Includes estimated costs to sell.
(6)
Represents impaired loans held for investment whose carrying amounts are based on the fair value of the underlying collateral, primarily real estate secured loans.

Nonrecurring Fair Value Changes
The following tables present total nonrecurring fair value measurements for the period, included in earnings, attributable to the change in fair value relating to assets that were still held:
 
Year ended December 31,
In millions of dollars
2018
Loans HFS
$
(13
)
Other real estate owned
(2
)
Loans(1)
(22
)
Non-marketable equity securities measured using the measurement alternative

194

Total nonrecurring fair value gains (losses)
$
157




 
Year ended December 31,
In millions of dollars
2017
Loans HFS
$
(26
)
Other real estate owned
(4
)
Loans(1)
(87
)
Non-marketable equity securities measured using the measurement alternative

Total nonrecurring fair value gains (losses)
$
(117
)
(1)
Represents loans held for investment whose carrying amount is based on the fair value of the underlying collateral, primarily real estate loans.
Estimated Fair Value of Financial Instruments not Carried at Fair Value
The following tables present the carrying value and fair value of Citigroup’s financial instruments that are not carried at fair value. The tables below therefore exclude items measured at fair value on a recurring basis presented in the tables above.
The disclosure also excludes leases, affiliate investments, pension and benefit obligations, certain insurance contracts and tax-related items. Also, as required, the disclosure excludes the effect of taxes, any premium or discount that could result from offering for sale at one time the entire holdings of a particular instrument, excess fair value associated with deposits with no fixed maturity and other expenses that would be incurred in a market transaction. In addition, the tables exclude the values of non-financial assets and liabilities, as well as a wide range of franchise, relationship and intangible values, which are integral to a full assessment of Citigroup’s financial position and the value of its net assets.
Fair values vary from period to period based on changes in a wide range of factors, including interest rates, credit quality and market perceptions of value, and as existing assets and liabilities run off and new transactions are entered into.
 
December 31, 2018
Estimated fair value
 
Carrying
value
Estimated
fair value
 
 
 
In billions of dollars
Level 1
Level 2
Level 3
Assets
 
 
 
 
 
Investments
$
68.9

$
68.5

$
1.0

$
65.4

$
2.1

Federal funds sold and securities borrowed and purchased under agreements to resell
123.0

123.0


121.6

1.4

Loans(1)(2)
667.1

666.9


5.6

661.3

Other financial assets(2)(3)
249.7

250.1

172.3

15.8

62.0

Liabilities
 
 
 
 
 
Deposits
$
1,011.7

$
1,009.5

$

$
847.1

$
162.4

Federal funds purchased and securities loaned or sold under agreements to repurchase
133.3

133.3


133.3


Long-term debt(4)
193.8

193.7


178.4

15.3

Other financial liabilities(5)
103.8

103.8


17.2

86.6


 
December 31, 2017
Estimated fair value
 
Carrying
value
Estimated
fair value
 
 
 
In billions of dollars
Level 1
Level 2
Level 3
Assets
 
 
 
 
 
Investments
$
60.2

$
60.6

$
0.5

$
57.5

$
2.6

Federal funds sold and securities borrowed and purchased under agreements to resell
99.5

99.5


94.4

5.1

Loans(1)(2)
648.6

644.9


6.0

638.9

Other financial assets(2)(3)
242.6

243.0

166.4

14.1

62.5

Liabilities
 
 
 
 
 
Deposits
$
958.4

$
955.6

$

$
816.1

$
139.5

Federal funds purchased and securities loaned and sold under agreements to repurchase
115.6

115.6


115.6


Long-term debt(4)
205.3

214.0


187.2

26.8

Other financial liabilities(5)
129.9

129.9


15.5

114.4

(1)
The carrying value of loans is net of the Allowance for loan losses of $12.3 billion for December 31, 2018 and $12.4 billion for December 31, 2017. In addition, the carrying values exclude $1.6 billion and $1.7 billion of lease finance receivables at December 31, 2018 and 2017, respectively.
(2)
Includes items measured at fair value on a nonrecurring basis.
(3)
Includes cash and due from banks, deposits with banks, brokerage receivables, reinsurance recoverable and other financial instruments included in Other assets on the Consolidated Balance Sheet, for all of which the carrying value is a reasonable estimate of fair value.
(4)
The carrying value includes long-term debt balances under qualifying fair value hedges.
(5)
Includes brokerage payables, short-term borrowings (carried at cost) and other financial instruments included in Other liabilities on the Consolidated Balance Sheet, for all of which the carrying value is a reasonable estimate of fair value.

The estimated fair values of the Company’s corporate unfunded lending commitments at December 31, 2018 and 2017 were liabilities of $7.8 billion and $3.2 billion, respectively, substantially all of which are classified as Level 3. The Company does not estimate the fair values of consumer unfunded lending commitments, which are generally cancelable by providing notice to the borrower.