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FAIR VALUE OF FINANCIAL INSTRUMENTS (Tables)
3 Months Ended
Mar. 31, 2017
Fair Value Disclosures [Abstract]  
Schedule of carrying value and estimated fair value, as well as the respective hierarchy classifications, of the financial assets and liabilities that are not carried at estimated fair value
The following table presents the carrying value and estimated fair value, as well as the respective hierarchy classifications, of the Company’s financial assets and liabilities that are not carried at estimated fair value on a recurring basis as of March 31, 2017 (amounts in thousands): 
 
 
 
As of March 31, 2017
 
Fair Value Hierarchy
 
Carrying
Amount
 
Estimated
Fair Value
 
Quoted Prices in
Active Markets
for Identical
Assets (Level 1)
 
Significant Other
Observable
Inputs (Level 2)
 
Significant
Unobservable
Inputs
(Level 3)
Assets:
 

 
 

 
 

 
 

 
 

Cash, restricted cash, and cash equivalents
$
1,253,809

 
$
1,253,809

 
$
1,253,809

 
$

 
$

Liabilities:
 
 
 
 
 

 
 

 
 

Senior notes
490,753

 
485,421

 
117,576

 

 
367,845

Junior subordinated notes
234,979

 
200,793

 

 

 
200,793

 
The following table presents the carrying value and estimated fair value, as well as the respective hierarchy classifications, of the Company’s financial assets and liabilities that are not carried at estimated fair value on a recurring basis as of December 31, 2016 (amounts in thousands): 
 
 
 
As of December 31, 2016
 
Fair Value Hierarchy
 
Carrying
Amount
 
Estimated
Fair Value
 
Quoted Prices in
Active Markets
for Identical
Assets (Level 1)
 
Significant Other
Observable
Inputs (Level 2)
 
Significant
Unobservable
Inputs
(Level 3)
Assets:
 

 
 

 
 

 
 

 
 

Cash, restricted cash, and cash equivalents
$
1,139,549

 
$
1,139,549

 
$
1,139,549

 
$

 
$

Liabilities:
 

 
 

 
 

 
 

 
 

Senior notes
123,008

 
116,699

 
116,699

 

 

Junior subordinated notes
250,154

 
210,084

 

 

 
210,084

Schedule of fair value of financial assets and liabilities measured on a recurring basis
The following table presents information about the Company’s assets and liabilities measured at fair value on a recurring basis as of March 31, 2017, and indicates the fair value hierarchy of the valuation techniques utilized by the Company to determine such fair value (amounts in thousands):
 
 
 
 
Quoted Prices in
Active Markets
for Identical
Assets (Level 1)
 
Significant
Other
Observable
Inputs (Level 2)
 
Significant
Unobservable 
Inputs
(Level 3)
 
Balance as of
March 31, 2017
Assets:
 

 
 

 
 

 
 

Securities:
 

 
 

 
 

 
 

Corporate debt securities
$

 
$
4,993

 
$
227,198

 
$
232,191

Residential mortgage-backed securities

 

 
39,286

 
39,286

Total securities

 
4,993

 
266,484

 
271,477

Loans

 
3,123,297

 
125,088

 
3,248,385

Equity investments, at estimated fair value
43,568

 

 
131,125

 
174,693

Interests in joint ventures and partnerships, at estimated fair value

 

 
841,733

 
841,733

Derivatives:
 

 
 

 
 
 
 

Foreign exchange forward contracts and options

 
34,727

 
854

 
35,581

Warrants

 

 
1,699

 
1,699

Options

 

 
1,464

 
1,464

Total derivatives

 
34,727

 
4,017

 
38,744

Total
$
43,568

 
$
3,163,017

 
$
1,368,447

 
$
4,575,032

Liabilities:
 

 
 

 
 

 
 

Collateralized loan obligation secured notes
$

 
$
2,992,893

 
$

 
$
2,992,893

Collateralized loan obligation junior secured notes to affiliates

 
92,220

 

 
92,220

Derivatives:
 

 
 
 
 

 
 

Interest rate swaps

 
25,506

 

 
25,506

Foreign exchange forward contracts and options

 
4,241

 
38

 
4,279

Total derivatives

 
29,747

 
38

 
29,785

Total
$

 
$
3,114,860

 
$
38

 
$
3,114,898

 
The following table presents information about the Company’s assets and liabilities measured at fair value on a recurring basis as of December 31, 2016, and indicates the fair value hierarchy of the valuation techniques utilized by the Company to determine such fair value (amounts in thousands):
 
 
Quoted Prices in
Active Markets
for Identical
Assets (Level 1)
 
Significant
Other
Observable
Inputs (Level 2)
 
Significant
Unobservable 
Inputs
(Level 3)
 
Balance as of
December 31,
 2016
Assets:
 

 
 

 
 

 
 

Securities:
 

 
 

 
 

 
 

Corporate debt securities
$

 
$
13,337

 
$
175,206

 
$
188,543

Residential mortgage-backed securities

 

 
40,663

 
40,663

Total securities

 
13,337

 
215,869

 
229,206

Corporate loans

 
3,176,070

 
129,194

 
3,305,264

Equity investments, at estimated fair value
36,353

 

 
132,305

 
168,658

Interests in joint ventures and partnerships, at estimated fair value

 

 
793,996

 
793,996

Derivatives:
 

 
 

 
 

 
0

Foreign exchange forward contracts and options

 
41,636

 
2,282

 
43,918

Options

 

 
1,001

 
1,001

Warrants
 
 
 
 
1,528

 
1,528

Total derivatives

 
41,636

 
4,811

 
46,447

Total
$
36,353

 
$
3,231,043

 
$
1,276,175

 
$
4,543,571

Liabilities:
 

 
 

 
 

 
 

Collateralized loan obligation secured notes
$

 
$
3,177,548

 
$

 
$
3,177,548

Derivatives:
 

 
 

 
 

 
 

Interest rate swaps

 
27,263

 

 
27,263

Foreign exchange forward contracts and options

 
4,152

 
1,290

 
5,442

Total derivatives

 
31,415

 
1,290

 
32,705

Total
$

 
$
3,208,963

 
$
1,290

 
$
3,210,253

Schedule of additional information about assets and liabilities, including derivatives, that are measured at fair value on a recurring basis
The following table presents additional information about assets and liabilities, including derivatives that are measured at fair value on a recurring basis for which the Company has utilized Level 3 inputs to determine fair value, for the three months ended March 31, 2017 (amounts in thousands):
 
 
Assets
 
Corporate
Debt
Securities
 
Residential
Mortgage-
Backed
Securities
 
Corporate
Loans
 
Equity
Investments,
at Estimated
Fair Value
 
Interests in
Joint
Ventures and
Partnerships
 
Foreign Exchange Options, Net
 
Warrants
 
Options
Beginning balance as of January 1, 2017
$
175,206

 
$
40,663

 
$
129,194

 
$
132,305

 
$
793,996

 
$
992

 
$
1,528

 
$
1,001

Total gains or losses (for the period):
 

 
 

 
 

 
 

 
 

 
 

 
 
 
 

Included in earnings(1)
85,978

 
1,164

 
2,940

 
(1,501
)
 
35,963

 
(176
)
 
171

 
463

Transfers into Level 3

 

 

 

 

 

 

 

Transfers out of Level 3 (2)

 

 
(9,565
)
 

 

 

 

 

Purchases

 

 
6,072

 
321

 
18,320

 

 

 

Sales
(8,956
)
 

 
(332
)
 

 

 

 

 

Settlements
(25,030
)
 
(2,541
)
 
(3,221
)
 

 
(6,546
)
 

 

 

Ending balance as of March 31, 2017
$
227,198

 
$
39,286

 
$
125,088

 
$
131,125

 
$
841,733

 
$
816

 
$
1,699

 
$
1,464

Change in unrealized gains or losses for the period included in earnings for assets held at the end of the reporting period(1)
$
84,841

 
$
1,164

 
$
2,940

 
$
(1,501
)
 
$
35,963

 
$
(633
)
 
$
171

 
$
463

 
 
 
 
 
(1)
Amounts are included in net realized and unrealized gain (loss) on investments or net realized and unrealized gain (loss) on derivatives and foreign exchange in the condensed consolidated statements of operations.
(2)
Corporate loans were transferred out of Level 3 because observable market data became available.


The following table presents additional information about assets and liabilities, including derivatives, that are measured at fair value on a recurring basis for which the Company has utilized Level 3 inputs to determine fair value, for the three months ended March 31, 2016 (amounts in thousands):
 
 
Assets
 
Corporate
Debt
Securities
 
Residential
Mortgage-
Backed
Securities
 
Corporate
Loans
 
Equity
Investments,
at Estimated
Fair Value
 
Interests in
Joint
Ventures and
Partnerships
 
Warrants
 
Options
Beginning balance as of January 1, 2016
$
194,986

 
$
49,621

 
$
298,734

 
$
146,648

 
$
888,408

 
$
2,887

 
$
95

Total gains or losses (for the period):
 

 
 

 
 

 
 

 
 

 
 

 
 

Included in earnings(1)
(44,882
)
 
332

 
(6,827
)
 
(8,085
)
 
(80,695
)
 
(1,046
)
 
403

Transfers into Level 3

 

 

 

 

 

 

Transfers out of Level 3

 

 

 

 

 

 

Purchases

 

 
2,306

 

 
14,067

 

 

Sales

 

 

 

 

 

 

Settlements
(36
)
 
(2,239
)
 
2,769

 

 
(73,451
)
 

 

Ending balance as of March 31, 2016
$
150,068

 
$
47,714

 
$
296,982

 
$
138,563

 
$
748,329

 
$
1,841

 
$
498

Change in unrealized gains or losses for the period included in earnings for assets held at the end of the reporting period(1)
$
(44,882
)
 
$
329

 
$
(6,827
)
 
$
(8,085
)
 
$
(80,695
)
 
$
(1,046
)
 
$
403

 
 
 
 
 
(1)
Amounts are included in net realized and unrealized gain (loss) on investments or net realized and unrealized gain (loss) on derivatives and foreign exchange in the condensed consolidated statements of operations.

Summary of valuation techniques used for assets and liabilities, measured at fair value and categorized within level 3
The following table presents additional information about valuation techniques and inputs used for assets and liabilities, including derivatives, that are measured at fair value and categorized within Level 3 as of March 31, 2017 (dollar amounts in thousands): 
 
Balance as 
of March 31, 2017
 
Valuation
Techniques(1)
 
Unobservable
Inputs(2)
 
Weighted
Average(3)
 
Range
 
Impact to
Valuation
from an
Increase  in
Input(4)
Assets:
 

 
 
 
 
 
 
 
 
 
 

Corporate debt securities
$
227,198

 
Yield analysis
 
Yield
 
22%
 
5% - 23%
 
Decrease

 
 

 
 
 
Net leverage
 
30x
 
15x-31x
 
Decrease

 
 
 
 
 
EBITDA multiple
 
37x
 
0x - 39x
 
Increase

 
 
 
 
 
Discount margin
 
1151 bps
 
1100 -1600 bps
 
Decrease

Residential mortgage – backed securities
$
39,286

 
Discounted cash flows
 
Probability of default
 
2%
 
0% - 3%
 
Decrease

 
 

 
 
 
Loss severity
 
43%
 
35% - 50%
 
Decrease

 
 

 
 
 
Constant prepayment rate
 
16%
 
12% - 20%
 
(5
)
Corporate loans
$
125,088

 
Inputs to market comparables, discounted cash flow and yield analysis
 
Weight ascribed to market comparables
 
1%
 
0% - 50%
 
(7
)
 
 

 
 
 
Weight ascribed to discounted cash flows
 
1%
 
0% - 50%
 
(8
)
 
 
 
 
 
Weight ascribed to yield analysis
 
98%
 
0% - 100%
 
(9
)
 
 
 
Yield Analysis
 
Yield
 
12%
 
10% -15%
 
Decrease

 
 
 
 
 
Net leverage
 
15x
 
5x - 91x
 
Decrease

 
 

 
 
 
EBITDA multiple
 
10x
 
7x - 23x
 
Increase

 
 
 
Market comparables
 
LTM EBITDA multiple
 
9x
 
9x
 
Increase

 
 
 
 
 
Forward EBITDA multiple
 
8x
 
8x
 
Increase

 
 
 
Discounted Cash flows
 
Weighted average cost of capital
 
15%
 
15%
 
Decrease

 
 
 
 
 
LTM EBITDA exit multiple
 
6x
 
6x
 
Increase

 
 
 
Black Scholes Options Pricing Model
 
Risk-Free Rate
 
3%
 
3%
 
Increase

 
 
 
 
 
Volatility
 
28%
 
28%
 
Decrease

Equity investments, at estimated fair value(6)
$
131,125

 
Inputs to both market comparables and discounted cash flow
 
Illiquidity discount
 
11%
 
0% - 15%
 
Decrease

 
 
 
 
 
Weight ascribed to market comparables
 
47%
 
0% - 100%
 
(7
)
 
 

 
 
 
Weight ascribed to discounted cash flows
 
53%
 
0% - 100%
 
(8
)
 
 

 
Market comparables
 
LTM EBITDA multiple
 
11x
 
0x - 16x
 
Increase

 
 

 
 
 
Forward EBITDA multiple
 
10x
 
0x - 14x
 
Increase

 
 

 
Discounted cash flows
 
Weighted average cost of capital
 
9%
 
7% - 15%
 
Decrease

 
 

 
 
 
LTM EBITDA exit multiple
 
8x
 
5x - 10x
 
Increase

Interests in joint ventures and partnerships(10)
$
841,733

 
Inputs to market comparables, discounted cash flow and yield analysis
 
Weight ascribed to market comparables
 
25%
 
0% - 100%
 
(7
)
 
 

 
 
 
Weight ascribed to discounted cash flows
 
43%
 
0% - 100%
 
(8
)
 
 
 
 
 
Weight ascribed to yield analysis
 
32%
 
0% - 100%
 
(9
)
 
 
 
Market comparables
 
LTM EBITDA multiple
 
1x
 
1x
 
Increase

 
 
 
 
 
Forward EBITDA multiple
 
1x
 
1x
 
Increase

 
 
 
 
 
Capitalization rate
 
7%
 
4% - 12%
 
Decrease

 
 

 
Discounted cash flows
 
Weighted average cost of capital
 
10%
 
6% - 20%
 
Decrease

 
 
 
 
 
Average price per BOE(11)
 
$19.92
 
$18.35-$22.35
 
Increase

 
 
 
Yield analysis
 
Yield
 
27%
 
27%
 
Decrease

 
 
 
 
 
Net Leverage
 
2x
 
2x
 
Decrease

 
 
 
 
 
EBITDA multiple
 
7x
 
7x
 
Increase

Foreign exchange options, net
$
816

 
Option pricing model
 
Forward and spot rates
 
13,309
 
13,309
 
(12
)
Options(13)
$
1,464

 
Inputs to both market comparables and discounted cash flow
 
Illiquidity discount
 
10%
 
10%
 
Decrease

 
 

 
 
 
Weight ascribed to market comparables
 
50%
 
50%
 
(7
)
 
 
 
 
 
Weight ascribed to discounted cash flows
 
50%
 
50%
 
(8
)
 
,

 
Market comparables
 
LTM EBITDA multiple
 
9x
 
9x
 
Increase

 
 
 
 
 
Forward EBITDA multiple
 
8x
 
8x
 
Increase

 
 

 
Discounted cash flows
 
Weighted average cost of capital
 
15%
 
15%
 
Decrease

 
 

 
 
 
LTM EBITDA exit multiple
 
6x
 
6x
 
Increase

 
 
 
Black Scholes Options Pricing Model
 
Risk-Free Rate
 
3%
 
3%
 
Increase

 
 
 
 
 
Volatility
 
28%
 
28%
 
Decrease

 
 
 
 
 
(1)
For the assets that have more than one valuation technique, the Company may rely on the techniques individually or in aggregate based on a weight ascribed to each one ranging from 0-100%. When determining the weighting ascribed to each valuation methodology, the Company considers, among other factors, the availability of direct market comparables, the applicability of a discounted cash flow analysis and the expected hold period and manner of realization for the investment. These factors can result in different weightings among the investments and in certain instances, may result in up to a 100% weighting to a single methodology. Broker quotes obtained for valuation purposes are reviewed by the Company through other valuation techniques.
(2)
In determining certain of these inputs, management evaluates a variety of factors including economic conditions, industry and market developments; market valuations of comparable companies; and company specific developments including exit strategies and realization opportunities.
(3)
Weighted average amounts are based on the estimated fair values.
(4)
Unless otherwise noted, this column represents the directional change in the fair value of the Level 3 investments that would result from an increase to the corresponding unobservable input. A decrease to the unobservable input would have the opposite effect. Significant increases and decreases in these inputs in isolation could result in significantly higher or lower fair value measurements.
(5)
The impact of changes in prepayment speeds may have differing impacts depending on the seniority of the instrument. Generally, an increase in the constant prepayment speed will positively impact the overall valuation of traditional mortgage assets. In contrast, an increase in the constant prepayment rate will negatively impact the overall valuation of interest-only strips.
(6)
When determining the illiquidity discount to be applied to equity investments, at estimated fair value, the Company seeks to take a uniform approach across its portfolio and generally applies a minimum 5% discount to all private equity investments carried at estimated fair value. The Company then evaluates such investments to determine if factors exist that could make it more challenging to monetize the investment and, therefore, justify applying a higher illiquidity discount. These factors generally include the salability of the investment, whether the issuer is undergoing significant restructuring activity or similar factors, as well as characteristics about the issuer including its size and/or whether it is experiencing, or expected to experience, a significant decline in earnings. Depending on the applicability of these factors, the Company determines the amount of any incremental illiquidity discount to be applied above the 5% minimum, and during the time the Company holds the investment, the illiquidity discount may be increased or decreased, from time to time, based on changes to these factors. The amount of illiquidity discount applied at any time requires considerable judgment about what a market participant would consider and is based on the facts and circumstances of each individual investment. Accordingly, the illiquidity discount ultimately considered by a market participant upon the realization of any investment may be higher or lower than that estimated by the Company in its valuations. Of the total equity investments, at estimated fair value, $15.2 million was valued solely using a market comparables technique and $19.9 million was valued solely using a discounted cash flow technique.
(7)
The directional change from an increase in the weight ascribed to the market comparables approach would increase the fair value of the Level 3 investments if the market comparables approach results in a higher valuation than the discounted cash flow or yield analysis approach. The opposite would be true if the market comparables approach results in a lower valuation than the discounted cash flow or yield analysis approach.
(8)
The directional change from an increase in the weight ascribed to the discounted cash flow approach would increase the fair value of the Level 3 investments if the discounted cash flow approach results in a higher valuation than the market comparables or yield analysis approach. The opposite would be true if the discounted cash flow approach results in a lower valuation than the market comparables or yield analysis approach.
(9)
The directional change from an increase in the weight ascribed to the yield analysis approach would increase the fair value of the Level 3 investments if the yield analysis approach results in a higher valuation than the market comparables or discounted cash flow approach. The opposite would be true if the yield analysis approach results in a lower valuation than the market comparables or discounted cash flow approach.
(10)
Inputs exclude $462.1 million of assets, comprised of an investment that was valued using an independent third party valuation firm and interests in an alternative credit fund that holds multiple investments, which are valued using Level 3 value methodologies similar to those shown for the corporate debt portfolio and equity investments. Of the total interest in joint ventures and partnerships, $47.1 million was valued solely using a discounted cash flow technique, while $8.8 million was valued solely using a market comparables technique and $26.9 million was valued solely using a yield analysis.
(11)
Natural resources assets with an estimated fair value of $87.2 million as of March 31, 2017 were valued using commodity prices. Commodity prices may be measured using a common volumetric equivalent where one barrel of oil equivalent (‘‘BOE’’) is determined using the ratio of six thousand cubic feet of natural gas to one barrel of oil, condensate or natural gas liquids. The price per BOE is provided to show the aggregate of all price inputs for these investments over a common volumetric equivalent although the valuations for specific investments may use price inputs specific to the asset for purposes of our valuations. The discounted cash flows include forecasted production of liquids (oil, condensate, and natural gas liquids) and natural gas with a forecasted revenue ratio of approximately 24% liquids and 76% natural gas.
(12)
Inputs include forward rates for investments in Indian Rupees.
(13)
The total options were valued using 50% a discount cash flow technique and 50% a market comparables technique.

The table above excludes warrants of $1.7 million, comprised of equity-like securities in a company that were valued using an independent third party valuation firm primarily based on the agreement setting forth the terms of the warrant and public disclosures of the expected sale value.

The following table presents additional information about valuation techniques and inputs used for assets, including derivatives, that are measured at fair value and categorized within Level 3 as of December 31, 2016 (dollar amounts in thousands):

 
Balance as of
December 31, 2016
 
Valuation
Techniques(1)
 
Unobservable
Inputs(2)
 
Weighted
Average(3)
 
Range
 
Impact to
Valuation
from an
Increase in
Input(4)
Assets:
 

 
 
 
 
 
 
 
 
 
 

Corporate debt securities
$
175,206

 
Yield analysis
 
Yield
 
14%
 
5% - 15%
 
Decrease

 
 

 
 
 
Net leverage
 
9x
 
7x-16x
 
Decrease

 
 
 
 
 
EBITDA multiple
 
6x
 
0x - 9x
 
Increase

 
 
 
 
 
Discount margin
 
1105
 
1100-1150bps
 
Decrease

 
 
 
Market comparables
 
LTM EBITDA multiple
 
12x
 
12x
 
Increase

 
 
 
Black Scholes Options Pricing Model
 
Risk-Free Rate
 
1%
 
1%
 
Increase

 
 
 
 
 
Volatility
 
85%
 
85%
 
Decrease

 
 
 
Broker quotes
 
Offered quotes
 
102
 
101-103
 
Increase

Residential mortgage – backed securities
$
40,663

 
Discounted cash flows
 
Probability of default
 
2%
 
0% - 3%
 
Decrease

 
 

 
 
 
Loss severity
 
43%
 
35% - 50%
 
Decrease

 
 

 
 
 
Constant prepayment rate
 
18%
 
12% - 23%
 
(5
)
Corporate loans
$
129,194

 
Yield Analysis
 
Yield
 
13%
 
11% - 16%
 
Decrease

 
 

 
 
 
Net leverage
 
11x
 
5x - 82x
 
Decrease

 
 

 
 
 
EBITDA multiple
 
6x
 
0x - 19x
 
Increase

Equity investments, at estimated fair value(6)
$
132,305

 
Inputs to market comparables and discounted cash flow
 
Illiquidity discount
 
8%
 
5% - 15%
 
Decrease

 
 
 
 
 
Weight ascribed to market comparables
 
47%
 
0% - 100%
 
(7
)
 
 

 
 
 
Weight ascribed to discounted cash flows
 
53%
 
0% - 100%
 
(8
)
 
 

 
Market comparables
 
LTM EBITDA multiple
 
11x
 
0x - 14x
 
Increase

 
 

 
 
 
Forward EBITDA multiple
 
9x
 
0x - 13x
 
Increase

 
 

 
Discounted cash flows
 
Weighted average cost of capital
 
9%
 
7% - 14%
 
Decrease

 
 

 
 
 
LTM EBITDA exit multiple
 
8x
 
7x - 10x
 
Increase

Interests in joint ventures and partnerships(10)
$
793,996

 
Inputs to both market comparables and discounted cash flow
 
Weight ascribed to market comparables
 
27%
 
0% - 100%
 
(7
)
 
 

 
 
 
Weight ascribed to discounted cash flows
 
45%
 
0% - 100%
 
(8
)
 
 
 
 
 
Weight ascribed to yield analysis
 
28%
 
0% - 100%
 
(9
)
 
 

 
Market comparables
 
LTM EBITDA multiple
 
4x
 
1x - 9x
 
Increase

 
 
 
 
 
Forward EBITDA multiple
 
9x
 
9x
 
Increase

 
 
 
 
 
Capitalization Rate
 
7%
 
3% - 12%
 
Decrease

 
 

 
Discounted cash flows
 
Weighted average cost of capital
 
10%
 
6% - 20%
 
Decrease

 
 
 
 
 
Average price per BOE(11)
 
$20.26
 
$18.81 - $22.38
 
Increase

 
 
 
Yield analysis
 
Yield
 
19%
 
19%
 
Decrease

 
 
 
 
 
Net leverage
 
2x
 
2x
 
Decrease

 
 
 
 
 
EBITDA multiple
 
7x
 
7x
 
Increase

Foreign exchange options, net
$
992

 
Option pricing model
 
Forward and spot rates
 
10,301
 
6 -13,550
 
(12
)
Options(13)
$
1,001

 
Inputs to both market comparables and discounted cash flow
 
Illiquidity discount
 
10%
 
10%
 
Decrease

 
 

 
 
 
Weight ascribed to market comparables
 
50%
 
50%
 
(7
)
 
 
 
 
 
Weight ascribed to discounted cash flows
 
50%
 
50%
 
(8
)
 
,

 
Market comparables
 
LTM EBITDA multiple
 
9x
 
9x
 
Increase

 
 
 
 
 
Forward EBITDA multiple
 
7x
 
7x
 
Increase

 
 

 
Discounted cash flows
 
Weighted average cost of capital
 
15%
 
15%
 
Decrease

 
 

 
 
 
LTM EBITDA exit multiple
 
5x
 
5x
 
Increase

 
 
 
 
 
(1)
For the assets that have more than one valuation technique, the Company may rely on the techniques individually or in aggregate based on a weight ascribed to each one ranging from 0-100%. When determining the weighting ascribed to each valuation methodology, the Company considers, among other factors, the availability of direct market comparables, the applicability of a discounted cash flow analysis and the expected hold period and manner of realization for the investment. These factors can result in different weightings among the investments and in certain instances, may result in up to a 100% weighting to a single methodology. Broker quotes obtained for valuation purposes are reviewed by the Company through other valuation techniques.
(2)
In determining certain of these inputs, management evaluates a variety of factors including economic conditions, industry and market developments; market valuations of comparable companies; and company specific developments including exit strategies and realization opportunities.
(3)
Weighted average amounts are based on the estimated fair values.
(4)
Unless otherwise noted, this column represents the directional change in the fair value of the Level 3 investments that would result from an increase to the corresponding unobservable input. A decrease to the unobservable input would have the opposite effect. Significant increases and decreases in these inputs in isolation could result in significantly higher or lower fair value measurements.
(5)
The impact of changes in prepayment speeds may have differing impacts depending on the seniority of the instrument. Generally, an increase in the constant prepayment speed will positively impact the overall valuation of traditional mortgage assets. In contrast, an increase in the constant prepayment rate will negatively impact the overall valuation of interest-only strips.
(6)
When determining the illiquidity discount to be applied to equity investments, at estimated fair value, the Company seeks to take a uniform approach across its portfolio and generally applies a minimum 5% discount to all private equity investments carried at estimated fair value. The Company then evaluates such investments to determine if factors exist that could make it more challenging to monetize the investment and, therefore, justify applying a higher illiquidity discount. These factors generally include the salability of the investment, whether the issuer is undergoing significant restructuring activity or similar factors, as well as characteristics about the issuer including its size and/or whether it is experiencing, or expected to experience, a significant decline in earnings. Depending on the applicability of these factors, the Company determines the amount of any incremental illiquidity discount to be applied above the 5% minimum, and during the time the Company holds the investment, the illiquidity discount may be increased or decreased, from time to time, based on changes to these factors. The amount of illiquidity discount applied at any time requires considerable judgment about what a market participant would consider and is based on the facts and circumstances of each individual investment. Accordingly, the illiquidity discount ultimately considered by a market participant upon the realization of any investment may be higher or lower than that estimated by the Company in its valuations. Of the total equity investments, at estimated fair value, $14.5 million was valued solely using using a market comparables technique and $20.0 million was valued solely using a discounted cash flow technique.
(7)
The directional change from an increase in the weight ascribed to the market comparables approach would increase the fair value of the Level 3 investments if the market comparables approach results in a higher valuation than the discounted cash flow or yield analysis approach. The opposite would be true if the market comparables approach results in a lower valuation than the discounted cash flow or yield analysis approach.
(8)
The directional change from an increase in the weight ascribed to the discounted cash flow approach would increase the fair value of the Level 3 investments if the discounted cash flow approach results in a higher valuation than the market comparables or yield analysis approach. The opposite would be true if the discounted cash flow approach results in a lower valuation than the market comparables or yield analysis approach.
(9)
The directional change from an increase in the weight ascribed to the yield analysis approach would increase the fair value of the Level 3 investments if the yield analysis approach results in a higher valuation than the market comparables or discounted cash flow approach. The opposite would be true if the yield analysis approach results in a lower valuation than the market comparables or discounted cash flow approach.
(10)
Inputs exclude $408.1 million of assets, comprised of an investment that was valued using an independent third party valuation firm and interests in alternative credit funds that holds multiple investments, which were valued suing Level 3 value methodologies similar to those shown for the corporate debt portfolio and equity investments. Of the total interest in joint ventures and partnerships, $43.5 million was valued solely using a discounted cash flow technique, while $9.8 million was valued solely using a market comparables technique and $24.4 million was valued solely using a yield analysis.
(11)
Natural resources assets with an estimated fair value of $107.3 million as of December 31, 2015 were valued using commodity prices. Commodity prices may be measured using a common volumetric equivalent where one barrel of oil equivalent (‘‘BOE’’) is determined using the ratio of six thousand cubic feet of natural gas to one barrel of oil, condensate or natural gas liquids. The price per BOE is provided to show the aggregate of all price inputs for these investments over a common volumetric equivalent although the valuations for specific investments may use price inputs specific to the asset for purposes of our valuations. The discounted cash flows include forecasted production of liquids (oil, condensate, and natural gas liquids) and natural gas with a forecasted revenue ratio of approximately 23% liquids and 77% natural gas.
(12)
Inputs include forward rates for investments in Chinese Yuan and Indian Rupees.
(13)
The total options were valued using 50% a discount cash flow technique and 50% a market comparables technique.