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Fair value measurements
12 Months Ended
Dec. 31, 2018
Fair Value Disclosures [Abstract]  
Fair value measurements
Fair value measurements

a) Fair value hierarchy
Fair value of financial assets and financial liabilities is estimated based on the framework established in the fair value accounting guidance. The guidance defines fair value as the price to sell an asset or transfer a liability (an exit price) in an orderly transaction between market participants and establishes a three-level valuation hierarchy based on the reliability of the inputs. The fair value hierarchy gives the highest priority to quoted prices in active markets and the lowest priority to unobservable data.
 
The three levels of the hierarchy are as follows:
Level 1 – Unadjusted quoted prices for identical assets or liabilities in active markets;
Level 2 – Includes, among other items, inputs other than quoted prices that are observable for the asset or liability such as
interest rates and yield curves, quoted prices for similar assets and liabilities in active markets, and quoted prices for identical or similar assets and liabilities in markets that are not active; and
Level 3 – Inputs that are unobservable and reflect management’s judgments about assumptions that market participants
would use in pricing an asset or liability.

We categorize financial instruments within the valuation hierarchy at the balance sheet date based upon the lowest level of inputs that are significant to the fair value measurement.

We use pricing services to obtain fair value measurements for the majority of our investment securities. Based on management’s understanding of the methodologies used, these pricing services only produce an estimate of fair value if there is observable market information that would allow them to make a fair value estimate. Based on our understanding of the market inputs used by the pricing services, all applicable investments have been valued in accordance with GAAP. We do not adjust prices obtained from pricing services. The following is a description of the valuation techniques and inputs used to determine fair values for financial instruments carried at fair value, as well as the general classification of such financial instruments pursuant to the valuation hierarchy.

Fixed maturities
We use pricing services to estimate fair value measurements for the majority of our fixed maturities. The pricing services use market quotations for fixed maturities that have quoted prices in active markets; such securities are classified within Level 1. For fixed maturities other than U.S. Treasury securities that generally do not trade on a daily basis, the pricing services prepare estimates of fair value measurements using their pricing applications, which include available relevant market information, benchmark curves, benchmarking of like securities, sector groupings, and matrix pricing. Additional valuation factors that can be taken into account are nominal spreads, dollar basis, and liquidity adjustments. The pricing services evaluate each asset class based on relevant market and credit information, perceived market movements, and sector news. The market inputs used in the pricing evaluation, listed in the approximate order of priority include: benchmark yields, reported trades, broker/dealer quotes, issuer spreads, two-sided markets, benchmark securities, bids, offers, reference data, and industry and economic events. The extent of the use of each input is dependent on the asset class and the market conditions. Given the asset class, the priority of the use of inputs may change, or some market inputs may not be relevant. Additionally, fixed maturities valuation is more subjective when markets are less liquid due to the lack of market based inputs (i.e., stale pricing), which may increase the potential that an investment's estimated fair value is not reflective of the price at which an actual transaction would occur. The overwhelming majority of fixed maturities are classified within Level 2 because the most significant inputs used in the pricing techniques are observable. For a small number of fixed maturities, we obtain a single broker quote (typically from a market maker). Due to the disclaimers on the quotes that indicate that the price is indicative only, we include these fair value estimates in Level 3. 

Equity securities
Equity securities with active markets are classified within Level 1 as fair values are based on quoted market prices. For equity securities in markets which are less active, fair values are based on market valuations and are classified within Level 2. Equity securities for which pricing is unobservable are classified within Level 3.

Short-term investments
Short-term investments, which comprise securities due to mature within one year of the date of purchase that are traded in active markets, are classified within Level 1 as fair values are based on quoted market prices. Securities such as commercial paper and discount notes are classified within Level 2 because these securities are typically not actively traded due to their approaching maturity, and as such, their cost approximates fair value. Short-term investments for which pricing is unobservable are classified within Level 3.

Other investments
Fair values for the majority of Other investments including investments in partially-owned investment companies, investment funds, and limited partnerships are based on their respective net asset values or equivalent (NAV) and are excluded from the fair value hierarchy table below. Certain of our long-duration contracts are supported by assets that do not qualify for separate account reporting under GAAP. These assets comprise mutual funds, classified within Level 1 in the valuation hierarchy on the same basis as other equity securities traded in active markets. Other investments also include equity securities, classified within Level 1 and fixed maturities, classified within Level 2, held in rabbi trusts maintained by Chubb for deferred compensation and supplemental retirement plans and are classified within the valuation hierarchy on the same basis as other equity securities and fixed maturities. Other investments for which pricing is unobservable are classified within Level 3.

Securities lending collateral
The underlying assets included in Securities lending collateral in the Consolidated balance sheets are fixed maturities which are classified in the valuation hierarchy on the same basis as other fixed maturities. Excluded from the valuation hierarchy is the corresponding liability related to Chubb’s obligation to return the collateral plus interest as it is reported at contract value and not fair value in the Consolidated balance sheets.

Investment derivative instruments
Actively traded investment derivative instruments, including futures, options, and forward contracts are classified within Level 1 as fair values are based on quoted market prices. The fair value of cross-currency swaps and interest rate swaps is based on market valuations and is classified within Level 2. Investment derivative instruments are recorded in either Other assets or Accounts payable, accrued expenses, and other liabilities in the Consolidated balance sheets.

Other derivative instruments
We maintain positions in exchange-traded equity futures contracts designed to limit exposure to a severe equity market decline, which would cause an increase in expected claims and, therefore, an increase in reserves for our guaranteed minimum death benefits (GMDB) and guaranteed living benefits (GLB) reinsurance business. Our positions in exchange-traded equity futures contracts are classified within Level 1. The fair value of the majority of the remaining positions in other derivative instruments is based on significant observable inputs including equity security and interest rate indices. Accordingly, these are classified within Level 2. Other derivative instruments based on unobservable inputs are classified within Level 3. Other derivative instruments are recorded in either Other assets or Accounts payable, accrued expenses, and other liabilities in the Consolidated balance sheets.

Separate account assets
Separate account assets represent segregated funds where investment risks are borne by the customers, except to the extent of certain guarantees made by Chubb. Separate account assets comprise mutual funds classified within Level 1 in the valuation hierarchy on the same basis as other equity securities traded in active markets. Separate account assets also include fixed maturities classified within Level 2 because the most significant inputs used in the pricing techniques are observable. Excluded from the valuation hierarchy are the corresponding liabilities as they are reported at contract value and not fair value in the Consolidated balance sheets. Separate account assets are recorded in Other assets in the Consolidated balance sheets.

Guaranteed living benefits
The GLB arises from life reinsurance programs covering living benefit guarantees whereby we assume the risk of guaranteed minimum income benefits (GMIB) associated with variable annuity contracts. GLB’s are recorded in Accounts payable, accrued expenses, and other liabilities and Future policy benefits in the Consolidated balance sheets. For GLB reinsurance, Chubb estimates fair value using an internal valuation model which includes current market information and estimates of policyholder behavior. All of the treaties contain claim limits, which are factored into the valuation model. The fair value depends on a number of factors, including interest rates, equity markets, credit risk, current account value, market volatility, expected annuitization rates and other policyholder behavior, and changes in policyholder mortality.

The most significant policyholder behavior assumptions include lapse rates and the GMIB annuitization rates. Assumptions regarding lapse rates and GMIB annuitization rates differ by treaty, but the underlying methodologies to determine rates applied to each treaty are comparable.

A lapse rate is the percentage of in-force policies surrendered in a given calendar year. All else equal, as lapse rates increase, ultimate claim payments will decrease. In general, the base lapse function assumes low lapse rates (ranging from about 3 percent to 9 percent per annum) during the surrender charge period of the GMIB contract, followed by a “spike” lapse rate (ranging from about 9 percent to 33 percent per annum) in the year immediately following the surrender charge period, and then reverting to an ultimate lapse rate (generally around 10 percent per annum), typically over a 2-year period. This base rate is adjusted downward for policies with more valuable guarantees (policies with guaranteed values far in excess of their account values) by multiplying the base lapse rate by a factor ranging from 15 percent to 75 percent. Partial withdrawals and the impact of older policyholders with tax-qualified contracts (due to required minimum distributions) are also reflected in our modeling.

The GMIB annuitization rate is the percentage of policies for which the policyholder will elect to annuitize using the guaranteed benefit provided under the GMIB. All else equal, as GMIB annuitization rates increase, ultimate claim payments will increase, subject to treaty claim limits. All GMIB reinsurance treaties include claim limits to protect Chubb in the event that actual annuitization behavior is significantly higher than expected. In general, Chubb assumes that GMIB annuitization rates will be higher for policies with more valuable guarantees (policies with guaranteed values far in excess of their account values). Chubb also assumes that GMIB annuitization rates increase as policyholders get older. In addition, we also assume that GMIB annuitization rates are higher in the first year immediately following the waiting period (the first year the policies are eligible to annuitize using the GMIB) in comparison to all subsequent years. We do not yet have fully credible annuitization experience for all clients.

The level of annuitization assumptions at December 31, 2018 are as follows:
% of total GMIB guaranteed value
Policyholder age
Maximum annuitization rate(s) (per year)
19%
Under 65 years old
1% - 21%
81%
Over 65 years old
3% - 42%


The effect of changes in key market factors on assumed lapse and annuitization rates reflect emerging trends using data available from cedants. For treaties with limited experience, rates are established in line with data received from other ceding companies adjusted, as appropriate, with industry estimates. The model and related assumptions are regularly re-evaluated by management and enhanced, as appropriate, based upon additional experience obtained related to policyholder behavior and availability of updated information such as market conditions, market participant assumptions, and demographics of in-force annuities. Because of the significant use of unobservable inputs including policyholder behavior, GLB reinsurance is classified within Level 3.

In the fourth quarter of 2018, we completed a review of policyholder behavior related to annuitizations, partial withdrawals, lapses, and mortality for our variable annuity reinsurance business.

As annuitization experience continued to emerge, we refined our annuitization assumptions including age-based behavior. The change in annuitization assumptions had an insignificant impact on the fair value of GLB liabilities.
We also refined our lapse assumptions based on additional emerging experience, with a focus on underlying policies eligible for annuitization. These refinements resulted in a net increase to the fair value of GLB liabilities generating a realized loss of approximately $20 million.
Reinsured policies allow for policyholders to make periodic withdrawals from their account values without lapsing the policy. The partial withdrawal results in a reduction to the associated guaranteed value that is either equal or proportional to the amount of the reduction in account value. We further refined our assumptions around the types of partial withdrawals according to their impact on guaranteed value. This resulted in an increase to the fair value of GLB liabilities generating a realized loss of approximately $11 million.
After having performed a mortality study for the first time in 2017, we performed a second study this year and enhanced our analysis by increasing the weight given to emerging experience, which resulted in lower mortality assumptions. The updated mortality rates increased the fair value of GLB liabilities generating a realized loss of approximately $28 million.
During the year ended December 31, 2018, we also made minor model refinements to the internal valuation model which resulted in no material impact on income.
Financial instruments measured at fair value on a recurring basis, by valuation hierarchy 
December 31, 2018
Level 1

 
Level 2

 
Level 3

 
Total

(in millions of U.S. dollars)
 
 
 
Assets:
 
 
 
 
 
 
 
Fixed maturities available for sale
 
 
 
 
 
 
 
U.S. Treasury and agency
$
3,400

 
$
745

 
$

 
$
4,145

Foreign

 
21,071

 
345

 
21,416

Corporate securities

 
25,284

 
1,299

 
26,583

Mortgage-backed securities

 
15,479

 
61

 
15,540

States, municipalities, and political subdivisions

 
10,786

 

 
10,786

 
3,400

 
73,365

 
1,705

 
78,470

Equity securities
713

 

 
57

 
770

Short-term investments
1,575

 
1,440

 
1

 
3,016

Other investments (1)
381

 
303

 
11

 
695

Securities lending collateral

 
1,926

 

 
1,926

Investment derivative instruments
28

 

 

 
28

Other derivative instruments
25

 

 

 
25

Separate account assets
2,686

 
137

 

 
2,823

Total assets measured at fair value (1)
$
8,808

 
$
77,171

 
$
1,774

 
$
87,753

Liabilities:
 
 
 
 
 
 
 
Investment derivative instruments
$
38

 
$
115

 
$

 
$
153

GLB (2)

 

 
452

 
452

Total liabilities measured at fair value
$
38

 
$
115

 
$
452

 
$
605

(1) 
Excluded from the table above are partially-owned investments, investment funds, and limited partnerships of $4,244 million and other investments of $95 million at December 31, 2018 measured using NAV as a practical expedient.
(2) 
Our GLB reinsurance product meets the definition of a derivative instrument for accounting purposes and is accordingly carried at fair value. Excluded from the table above is the portion of the GLB derivative liability classified as Future policy benefits in the Consolidated balance sheets. Refer to Note 4 c) for additional information.


 
December 31, 2017
Level 1

 
Level 2

 
Level 3

 
Total

(in millions of U.S. dollars)
 
 
 
Assets:
 
 
 
 
 
 
 
Fixed maturities available for sale
 
 
 
 
 
 
 
U.S. Treasury and agency
$
3,129

 
$
569

 
$

 
$
3,698

Foreign

 
20,937

 
93

 
21,030

Corporate securities

 
22,959

 
1,037

 
23,996

Mortgage-backed securities

 
15,212

 
78

 
15,290

States, municipalities, and political subdivisions

 
14,925

 

 
14,925

 
3,129

 
74,602

 
1,208

 
78,939

Equity securities
893

 

 
44

 
937

Short-term investments
2,309

 
1,252

 

 
3,561

Other investments (1)
466

 
305

 
263

 
1,034

Securities lending collateral

 
1,737

 

 
1,737

Investment derivative instruments
18

 

 

 
18

Other derivative instruments
1

 

 

 
1

Separate account assets
2,635

 
99

 

 
2,734

Total assets measured at fair value (1)
$
9,451

 
$
77,995

 
$
1,515

 
$
88,961

Liabilities:
 
 
 
 
 
 
 
Investment derivative instruments
$
30

 
$

 
$

 
$
30

Other derivative instruments
21

 

 
2

 
23

GLB (2)

 

 
204

 
204

Total liabilities measured at fair value
$
51

 
$

 
$
206

 
$
257

(1) 
Excluded from the table above are partially-owned investments, investment funds, and limited partnerships of $3,623 million and other investments of $15 million at December 31, 2017 measured using NAV as a practical expedient.
(2) 
Our GLB reinsurance product meets the definition of a derivative instrument for accounting purposes and is accordingly carried at fair value. Excluded from the table above is the portion of the GLB derivative liability classified as Future policy benefits in the Consolidated balance sheets. Refer to Note 4 c) for additional information.

Fair value of alternative investments
Alternative investments include investment funds, limited partnerships, and partially-owned investment companies measured at fair value using NAV as a practical expedient. The following table presents, by investment category, the expected liquidation period, fair value, and maximum future funding commitments of alternative investments: 
 
 
 
December 31
 
 
December 31
 
 
 
 
2018
 
 
2017
 
(in millions of U.S. dollars)
Expected Liquidation
Period of Underlying Assets
 
Fair Value

 
Maximum
Future Funding
Commitments

 
Fair Value

 
Maximum
Future Funding
Commitments

Financial
2 to 9 Years
 
$
596

 
$
193

 
$
540

 
$
330

Real Assets
2 to 11 Years
 
704

 
362

 
651

 
114

Distressed
2 to 7 Years
 
296

 
105

 
289

 
141

Private Credit
3 to 8 Years
 
147

 
310

 
187

 
327

Traditional
2 to 14 Years
 
2,362

 
2,735

 
1,656

 
3,149

Vintage
1 to 2 Years
 
56

 

 
30

 

Investment funds
Not Applicable
 
83

 

 
270

 

 
 
 
$
4,244

 
$
3,705

 
$
3,623

 
$
4,061



Included in all categories in the above table, except for Investment funds, are investments for which Chubb will never have the contractual option to redeem but receives distributions based on the liquidation of the underlying assets. Further, for all categories except for Investment funds, Chubb does not have the ability to sell or transfer the investments without the consent from the general partner of individual funds.
Investment Category
 
Consists of investments in private equity funds:
Financial
 
targeting financial services companies, such as financial institutions and insurance services worldwide
Real Assets
 
targeting investments related to hard physical assets, such as real estate, infrastructure, and natural resources
Distressed
 
targeting distressed corporate debt/credit and equity opportunities in the U.S.
Private Credit
 
targeting privately originated corporate debt investments, including senior secured loans and subordinated bonds
Traditional
 
employing traditional private equity investment strategies such as buyout and growth equity globally
Vintage
 
made before 2002 or where the funds’ commitment periods have already expired

Investment funds
Chubb’s investment funds employ various investment strategies such as long/short equity and arbitrage/distressed. Included in this category are investments for which Chubb has the option to redeem at agreed upon value as described in each investment fund’s subscription agreement. Depending on the terms of the various subscription agreements, investment fund investments may be redeemed monthly, quarterly, semi-annually, or annually. If Chubb wishes to redeem an investment fund investment, it must first determine if the investment fund is still in a lock-up period (a time when Chubb cannot redeem its investment so that the investment fund manager has time to build the portfolio). If the investment fund is no longer in its lock-up period, Chubb must then notify the investment fund manager of its intention to redeem by the notification date prescribed by the subscription agreement. Subsequent to notification, the investment fund can redeem Chubb’s investment within several months of the notification. Notice periods for redemption of the investment funds range between 5 and 120 days. Chubb can redeem its investment funds without consent from the investment fund managers.

Level 3 financial instruments
The following table presents the significant unobservable inputs used in the Level 3 liability valuations. Excluded from the table below are inputs used to determine the fair value of Level 3 assets which are based on single broker quotes and contain no quantitative unobservable inputs developed by management. The majority of our fixed maturities classified as Level 3 used external pricing when markets are less liquid due to the lack of market inputs (i.e., stale pricing, broker quotes).
(in millions of U.S. dollars, except for percentages)
Fair Value at December 31, 2018

 
Valuation
Technique
 
Significant
Unobservable Inputs
 
Ranges
GLB(1)
$
452

 
Actuarial model
 
Lapse rate
 
3% – 32%
 
 
 
 
 
Annuitization rate
 
0% – 42%
(1) 
Discussion of the most significant inputs used in the fair value measurement of GLB and the sensitivity of those assumptions is included within Note 3 a) Guaranteed living benefits.
The following tables present a reconciliation of the beginning and ending balances of financial instruments measured at fair value using significant unobservable inputs (Level 3): 
 
 
 
 
 
 
 
 
 
 
 
Assets

 
 
 
Liabilities

 
Available-for-Sale Debt Securities
 
 
Equity
securities

 
Short-term investments

 
Other
investments

 
Other derivative instruments

 
GLB (1)

Year Ended December 31, 2018
Foreign

 
Corporate
securities

 
MBS

 
 
(in millions of U.S. dollars)
 
 
 
 
Balance, beginning of year
$
93

 
$
1,037

 
$
78

 
$
44

 
$

 
$
263

 
$
2

 
$
204

Transfers into Level 3
13

 
24

 
1

 

 
5

 

 

 

Transfers out of Level 3
(2
)
 
(31
)
 
(3
)
 

 

 
(252
)
 

 

Change in Net Unrealized Gains/Losses included in OCI
(12
)
 
(4
)
 

 
(2
)
 

 
(2
)
 

 

Net Realized Gains/Losses
(3
)
 
(5
)
 

 
6

 

 
1

 
(2
)
 
248

Purchases
334

 
672

 
5

 
37

 
9

 
50

 

 

Sales
(69
)
 
(164
)
 

 
(28
)
 

 

 

 

Settlements
(9
)
 
(230
)
 
(20
)
 

 
(13
)
 
(49
)
 

 

Balance, end of year
$
345

 
$
1,299

 
$
61

 
$
57

 
$
1

 
$
11

 
$

 
$
452

Net Realized Gains/Losses Attributable to Changes in Fair Value at the Balance Sheet Date
$
(1
)
 
$
(7
)
 
$

 
$
(1
)
 
$

 
$
1

 
$

 
$
248


(1) 
Our GLB reinsurance product meets the definition of a derivative instrument for accounting purposes and is accordingly carried at fair value. Excluded from the table above is the portion of the GLB derivative liability classified as Future policy benefits in the Consolidated balance sheets. Refer to Note 4 c) for additional information.
 
Assets
 
 
 
 
Liabilities

 
Available-for-Sale Debt Securities
 
 
Equity
securities

 
Short-term investments

 
Other
investments

 
 Other derivative instruments

 
GLB (2)

Year Ended December 31, 2017
Foreign

 
Corporate
securities (1)

 
MBS

 
(in millions of U.S. dollars)
 
 
 
 
 
 
Balance, beginning of year
$
74

 
$
681

 
$
45

 
$
41

 
$
25

 
$
225


$
13

 
$
559

Transfers into Level 3

 
231

 
50

 

 

 



 
9

Transfers out of Level 3
(3
)
 
(93
)
 

 

 

 

 
(9
)
 

Change in Net Unrealized Gains/Losses included in OCI
3

 
(12
)
 

 
(1
)
 

 
6

 

 

Net Realized Gains/Losses

 

 

 
2

 

 

 
(2
)
 
(364
)
Purchases 
84

 
521

 
8

 
24

 
16

 
56

 

 

Sales
(59
)
 
(111
)
 
(1
)
 
(22
)
 

 

 

 

Settlements
(6
)
 
(180
)
 
(24
)
 

 
(41
)
 
(24
)
 

 

Balance, end of year
$
93

 
$
1,037

 
$
78

 
$
44

 
$

 
$
263

 
$
2

 
$
204

Net Realized Gains/Losses Attributable to Changes in Fair Value at the Balance Sheet Date
$
(1
)
 
$
(2
)
 
$

 
$
(1
)
 
$

 
$

 
$
(2
)
 
$
(364
)
(1) 
Transfers into and Purchases in Level 3 primarily consist of privately-placed fixed income securities.
(2) 
Our GLB reinsurance product meets the definition of a derivative instrument for accounting purposes and is accordingly carried at fair value. Excluded from the table above is the portion of the GLB derivative liability classified as Future policy benefits in the Consolidated balance sheets. The liability for GLB reinsurance was $550 million at December 31, 2017 and $853 million at December 31, 2016, which includes a fair value derivative adjustment of $204 million and $559 million, respectively. 

 
Assets
 
 
Liabilities
 
 
Available-for-Sale Debt Securities
 
 
 
 
Short-term investments

 
 
 
Other
derivative
instruments

 
GLB(1)

Year Ended December 31, 2016
Foreign

 
Corporate
securities

 
MBS

 
Equity
securities

 
 
Other
investments

(in millions of U.S. dollars)
 
 
 
 
 
Balance, beginning of year
$
57

 
$
174

 
$
53

 
$
16

 
$

 
$
212

 
$
6

 
$
609

Transfers into Level 3
9

 
53

 

 

 

 

 

 

Transfers out of Level 3
(24
)
 
(10
)
 

 

 
(50
)
 

 

 

Change in Net Unrealized Gains/Losses included in OCI
1

 
15

 
(1
)
 
2

 

 
(2
)
 

 

Net Realized Gains/Losses
(6
)
 
(13
)
 

 
1

 

 
1

 
5

 
(50
)
Purchases (2)
70

 
566

 
1

 
27

 
75

 
33

 
2

 

Sales
(17
)
 
(59
)
 
(8
)
 
(5
)
 

 

 

 

Settlements
(16
)
 
(45
)
 

 

 

 
(19
)
 

 

Balance, end of year
$
74

 
$
681

 
$
45

 
$
41

 
$
25

 
$
225

 
$
13

 
$
559

Net Realized Gains/Losses Attributable to Changes in Fair Value at the Balance Sheet Date
$
(5
)
 
$
(11
)
 
$

 
$

 
$

 
$
1

 
$
5

 
$
(50
)
(1) 
Our GLB reinsurance product meets the definition of a derivative instrument for accounting purposes and is accordingly carried at fair value. Excluded from the table above is the portion of the GLB derivative liability classified as Future policy benefits in the Consolidated balance sheets. The liability for GLB reinsurance was $853 million at December 31, 2016 and $888 million at December 31, 2015, which includes a fair value derivative adjustment of $559 million and $609 million, respectively. 
(2) 
Includes acquired invested assets as a result of the Chubb Corp acquisition.

b) Financial instruments disclosed, but not measured, at fair value
Chubb uses various financial instruments in the normal course of its business. Our insurance contracts are excluded from fair value of financial instruments accounting guidance, and therefore, are not included in the amounts discussed below.

The carrying values of cash, other assets, other liabilities, and other financial instruments not included below approximated their fair values.

Investments in partially-owned insurance companies
Fair values for investments in partially-owned insurance companies are based on Chubb’s share of the net assets based on the financial statements provided by those companies and are excluded from the valuation hierarchy tables below.

Short- and long-term debt, repurchase agreements, and trust preferred securities
Where practical, fair values for short-term debt, long-term debt, repurchase agreements, and trust preferred securities are estimated using discounted cash flow calculations based principally on observable inputs including incremental borrowing rates, which reflect Chubb’s credit rating, for similar types of borrowings with maturities consistent with those remaining for the debt being valued.

The following tables present fair value, by valuation hierarchy, and carrying value of the financial instruments not measured at fair value:
December 31, 2018
Fair Value
 
 
Carrying Value

(in millions of U.S. dollars)
Level 1

 
Level 2

 
Level 3

 
Total

 
Assets:
 
 
 
 
 
 
 
 
 
Fixed maturities held to maturity
 
 
 
 
 
 
 
 
 
U.S. Treasury and agency
$
1,128

 
$
54

 
$

 
$
1,182

 
$
1,185

Foreign

 
1,542

 

 
1,542

 
1,549

Corporate securities

 
2,477

 
31

 
2,508

 
2,601

Mortgage-backed securities

 
2,486

 

 
2,486

 
2,524

States, municipalities, and political subdivisions

 
5,541

 

 
5,541

 
5,576

Total assets
$
1,128

 
$
12,100

 
$
31

 
$
13,259

 
$
13,435

Liabilities:
 
 
 
 
 
 
 
 
 
Repurchase agreements
$

 
$
1,418

 
$

 
$
1,418

 
$
1,418

Short-term debt

 
516

 

 
516

 
509

Long-term debt

 
12,181

 

 
12,181

 
12,087

Trust preferred securities

 
409

 

 
409

 
308

Total liabilities
$

 
$
14,524

 
$

 
$
14,524

 
$
14,322



December 31, 2017
Fair Value
 
 
Carrying Value

(in millions of U.S. dollars)
Level 1

 
Level 2

 
Level 3

 
Total

 
Assets:
 
 
 
 
 
 
 
 
 
Fixed maturities held to maturity
 
 
 
 
 
 
 
 
 
U.S. Treasury and agency
$
857

 
$
58

 
$

 
$
915

 
$
908

Foreign

 
1,757

 

 
1,757

 
1,738

Corporate securities

 
3,184

 
35

 
3,219

 
3,159

Mortgage-backed securities

 
2,742

 

 
2,742

 
2,724

States, municipalities, and political subdivisions

 
5,841

 

 
5,841

 
5,806

Total assets
$
857

 
$
13,582

 
$
35

 
$
14,474

 
$
14,335

Liabilities:
 
 
 
 
 
 
 
 
 
Repurchase agreements
$

 
$
1,408

 
$

 
$
1,408

 
$
1,408

Short-term debt

 
1,013

 

 
1,013

 
1,013

Long-term debt

 
12,332

 

 
12,332

 
11,556

Trust preferred securities

 
468

 

 
468

 
308

Total liabilities
$

 
$
15,221

 
$

 
$
15,221

 
$
14,285