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Fair Value Disclosures
9 Months Ended
Aug. 31, 2020
Fair Value Disclosures [Abstract]  
Fair Value Disclosures Fair Value Disclosures
The following is a summary of our financial assets and liabilities that are accounted for at fair value on a recurring basis, excluding Investments at fair value based on net asset value ("NAV") of $928.2 million and $586.9 million at August 31, 2020 and November 30, 2019, respectively, by level within the fair value hierarchy (in thousands):
 August 31, 2020
 Level 1Level 2Level 3Counterparty
and
Cash
Collateral
Netting (1)
Total
Assets:
Financial instruments owned, at fair value:
Corporate equity securities$2,594,722 $63,256 $77,941 $— $2,735,919 
Corporate debt securities— 2,720,644 23,269 — 2,743,913 
Collateralized debt obligations and
collateralized loan obligations
— 68,287 36,122 — 104,409 
U.S. government and federal agency securities3,164,472 92,036 — — 3,256,508 
Municipal securities— 358,292 — — 358,292 
Sovereign obligations1,686,522 877,334 — — 2,563,856 
Residential mortgage-backed securities— 975,166 28,317 — 1,003,483 
Commercial mortgage-backed securities— 1,091,406 4,663 — 1,096,069 
Other asset-backed securities— 48,734 63,337 — 112,071 
Loans and other receivables— 2,117,162 162,941 — 2,280,103 
Derivatives 2,897 2,086,407 52,195 (1,611,815)529,684 
Investments at fair value— 45,156 172,498 — 217,654 
FXCM term loan— — 56,542 — 56,542 
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV
$7,448,613 $10,543,880 $677,825 $(1,611,815)$17,058,503 
Loans to and investments in associated
companies
$— $8,404 $34,688 $— $43,092 
Securities received as collateral, at fair value$4,413 $— $— $— $4,413 
Liabilities:     
Financial instruments sold, not yet purchased, at fair value:
     
Corporate equity securities$2,295,391 $12,533 $4,367 $— $2,312,291 
Corporate debt securities— 1,448,558 148 — 1,448,706 
U.S. government and federal agency securities2,722,907 — — — 2,722,907 
Sovereign obligations1,452,399 1,096,176 — — 2,548,575 
Commercial mortgage-backed securities— — 35 — 35 
Loans— 1,432,113 46,594 — 1,478,707 
Derivatives1,031 2,207,365 74,620 (1,799,681)483,335 
Total financial instruments sold, not yet purchased, at fair value
$6,471,728 $6,196,745 $125,764 $(1,799,681)$10,994,556 
Short-term borrowings$— $21,829 $— $— $21,829 
Other secured financings$— $— $3,402 $— $3,402 
Long-term debt$— $891,845 $630,260 $— $1,522,105 
Obligation to return securities received as collateral, at fair value
$4,413 $— $— $— $4,413 
 November 30, 2019
 Level 1Level 2Level 3Counterparty
and
Cash
Collateral
Netting (1)
Total
Assets:
Financial instruments owned, at fair value:
Corporate equity securities$2,507,164 $218,403 $58,426 $— $2,783,993 
Corporate debt securities — 2,472,245 7,490 — 2,479,735 
Collateralized debt obligations and
collateralized loan obligations
— 124,225 28,788 — 153,013 
U.S. government and federal agency securities2,101,624 158,618 — — 2,260,242 
Municipal securities— 742,326 — — 742,326 
Sovereign obligations1,330,026 1,405,827 — — 2,735,853 
Residential mortgage-backed securities— 1,069,066 17,740 — 1,086,806 
Commercial mortgage-backed securities— 424,060 6,110 — 430,170 
Other asset-backed securities— 303,847 42,563 — 346,410 
Loans and other receivables— 2,460,551 114,080 — 2,574,631 
Derivatives2,809 1,833,907 14,889 (1,433,197)418,408 
Investments at fair value— 32,688 205,412 — 238,100 
FXCM term loan— — 59,120 — 59,120 
Total financial instruments owned, at fair value, excluding investments at fair value based on NAV
$5,941,623 $11,245,763 $554,618 $(1,433,197)$16,308,807 
Securities purchased under agreements to resell$— $— $25,000 $— $25,000 
Securities received as collateral, at fair value$9,500 $— $— $— $9,500 
Liabilities:     
Financial instruments sold, not yet purchased, at fair value:
     
Corporate equity securities$2,755,601 $7,438 $4,487 $— $2,767,526 
Corporate debt securities— 1,471,142 340 — 1,471,482 
U.S. government and federal agency securities1,851,981 — — — 1,851,981 
Sovereign obligations 1,363,475 941,065 — — 2,304,540 
Commercial mortgage-backed securities— — 35 — 35 
Loans— 1,600,228 9,463 — 1,609,691 
Derivatives871 2,066,455 92,057 (1,632,178)527,205 
Total financial instruments sold, not yet purchased, at fair value
$5,971,928 $6,086,328 $106,382 $(1,632,178)$10,532,460 
Short-term borrowings$— $20,981 $— $— $20,981 
Long-term debt$— $735,216 $480,069 $— $1,215,285 
Obligation to return securities received as collateral, at fair value
$9,500 $— $— $— $9,500 

(1)Represents counterparty and cash collateral netting across the levels of the fair value hierarchy for positions with the same counterparty.

The following is a description of the valuation basis, including valuation techniques and inputs, used in measuring our financial assets and liabilities that are accounted for at fair value on a recurring basis:

Corporate Equity Securities

Exchange-Traded Equity Securities:  Exchange-traded equity securities are measured based on quoted closing exchange prices, which are generally obtained from external pricing services, and are categorized within Level 1 of the fair value hierarchy, otherwise they are categorized within Level 2 of the fair value hierarchy. To the extent these securities are actively traded, valuation adjustments are not applied.
Non-Exchange-Traded Equity Securities:  Non-exchange-traded equity securities are measured primarily using broker
quotations, pricing data from external pricing services and prices observed from recently executed market transactions and are categorized within Level 2 of the fair value hierarchy. Where such information is not available, non-exchange-traded equity securities are categorized within Level 3 of the fair value hierarchy and measured using valuation techniques involving quoted prices of or market data for comparable companies, similar company ratios and multiples (e.g., price/Earnings before interest, taxes, depreciation and amortization ("EBITDA"), price/book value), discounted cash flow analyses and transaction prices observed from subsequent financing or capital issuance by Jefferies Group. When using pricing data of comparable companies, judgment must be applied to adjust the pricing data to account for differences between the measured security and the comparable security (e.g., issuer market capitalization, yield, dividend rate, geographical concentration).
Equity Warrants:  Non-exchange-traded equity warrants are measured primarily using pricing data from external pricing services, prices observed from recently executed market transactions and broker quotations and are categorized within Level 2 of the fair value hierarchy. Where such information is not available, non-exchange-traded equity warrants are generally categorized within Level 3 of the fair value hierarchy and can be measured using the Black-Scholes model with key inputs impacting the valuation including the underlying security price, implied volatility, dividend yield, interest rate curve, strike price and maturity date.

Corporate Debt Securities

Investment Grade Corporate Bonds:  Investment grade corporate bonds are measured primarily using pricing data from external pricing services and broker quotations, where available, prices observed from recently executed market transactions and bond spreads or credit default swap spreads of the issuer adjusted for basis differences between the swap curve and the bond curve. Investment grade corporate bonds measured using these valuation methods are categorized within Level 2 of the fair value hierarchy. If broker quotes, pricing data or spread data is not available, alternative valuation techniques are used including cash flow models incorporating interest rate curves, single name or index credit default swap curves for comparable issuers and recovery rate assumptions. Investment grade corporate bonds measured using alternative valuation techniques are categorized within Level 2 or Level 3 of the fair value hierarchy and are a limited portion of our investment grade corporate bonds.
High Yield Corporate and Convertible Bonds:  A significant portion of our high yield corporate and convertible bonds are categorized within Level 2 of the fair value hierarchy and are measured primarily using broker quotations and pricing data from external pricing services, where available, and prices observed from recently executed market transactions of institutional size. Where pricing data is less observable, valuations are categorized within Level 3 of the fair value hierarchy and are based on pending transactions involving the issuer or comparable issuers, prices implied from an issuer's subsequent financing or recapitalization, models incorporating financial ratios and projected cash flows of the issuer and market prices for comparable issuers.

Collateralized Debt Obligations and Collateralized Loan Obligations

Collateralized debt obligations ("CDOs") and collateralized loan obligations ("CLOs") are measured based on prices observed from recently executed market transactions of the same or similar security or based on valuations received from third-party brokers or data providers and are categorized within Level 2 or Level 3 of the fair value hierarchy depending on the observability and significance of the pricing inputs. Valuation that is based on recently executed market transactions of similar securities incorporates additional review and analysis of pricing inputs and comparability criteria, including, but not limited to, collateral type, tranche type, rating, origination year, prepayment rates, default rates and loss severity.

U.S. Government and Federal Agency Securities

U.S. Treasury Securities:  U.S. Treasury securities are measured based on quoted market prices obtained from external pricing services and categorized within Level 1 of the fair value hierarchy.
U.S. Agency Debt Securities:  Callable and non-callable U.S. agency debt securities are measured primarily based on quoted market prices obtained from external pricing services and are generally categorized within Level 1 or Level 2 of the fair value hierarchy.

Municipal Securities

Municipal securities are measured based on quoted prices obtained from external pricing services and are generally categorized within Level 2 of the fair value hierarchy.
Sovereign Obligations

Sovereign government obligations are measured based on quoted market prices obtained from external pricing services, where available, or recently executed independent transactions of comparable size. Sovereign government obligations, with consideration given to the country of issuance, are generally categorized within Level 1 or Level 2 of the fair value hierarchy.

Residential Mortgage-Backed Securities

Agency Residential Mortgage-Backed Securities:  Agency residential mortgage-backed securities include mortgage pass-through securities (fixed and adjustable rate), collateralized mortgage obligations and principal-only and interest-only (including inverse interest-only) securities. Agency residential mortgage-backed securities are generally measured using recent transactions, pricing data from external pricing services or expected future cash flow techniques that incorporate prepayment models and other prepayment assumptions to amortize the underlying mortgage loan collateral and are categorized within Level 2 or Level 3 of the fair value hierarchy. We use prices observed from recently executed transactions to develop market-clearing spread and yield curve assumptions. Valuation inputs with regard to the underlying collateral incorporate factors such as weighted average coupon, loan-to-value, credit scores, geographic location, maximum and average loan size, originator, servicer and weighted average loan age.
Non-Agency Residential Mortgage-Backed Securities:  The fair value of non-agency residential mortgage-backed securities is determined primarily using discounted cash flow methodologies and securities are categorized within Level 2 or Level 3 of the fair value hierarchy based on the observability and significance of the pricing inputs used. Performance attributes of the underlying mortgage loans are evaluated to estimate pricing inputs, such as prepayment rates, default rates and the severity of credit losses. Attributes of the underlying mortgage loans that affect the pricing inputs include, but are not limited to, weighted average coupon; average and maximum loan size; loan-to-value; credit scores; documentation type; geographic location; weighted average loan age; originator; servicer; historical prepayment, default and loss severity experience of the mortgage loan pool; and delinquency rate. Yield curves used in the discounted cash flow models are based on observed market prices for comparable securities and published interest rate data to estimate market yields. In addition, broker quotes, where available, are also referenced to compare prices primarily on interest-only securities.

Commercial Mortgage-Backed Securities

Agency Commercial Mortgage-Backed Securities:  Government National Mortgage Association ("GNMA") project loan bonds are measured based on inputs corroborated from and benchmarked to observed prices of recent securitization transactions of similar securities with adjustments incorporating an evaluation of various factors, including prepayment speeds, default rates and cash flow structures. Federal National Mortgage Association ("FNMA") Delegated Underwriting and Servicing ("DUS") mortgage-backed securities are generally measured by using prices observed from recently executed market transactions to estimate market-clearing spread levels for purposes of estimating fair value. GNMA project loan bonds and FNMA DUS mortgage-backed securities are categorized within Level 2 of the fair value hierarchy.
Non-Agency Commercial Mortgage-Backed Securities:  Non-agency commercial mortgage-backed securities are measured using pricing data obtained from external pricing services, prices observed from recently executed market transactions or based on expected cash flow models that incorporate underlying loan collateral characteristics and performance. Non-agency commercial mortgage-backed securities are categorized within Level 2 or Level 3 of the fair value hierarchy depending on the observability of the underlying inputs.

Other Asset-Backed Securities

Other asset-backed securities include, but are not limited to, securities backed by auto loans, credit card receivables, student loans and other consumer loans and are categorized within Level 2 or Level 3 of the fair value hierarchy. Valuations are primarily determined using pricing data obtained from external pricing services, broker quotes and prices observed from recently executed market transactions. In addition, recent transaction data from comparable deals is deployed to develop market clearing yields and cumulative loss assumptions. The cumulative loss assumptions are based on the analysis of the underlying collateral and comparisons to earlier deals from the same issuer to gauge the relative performance of the deal.
Loans and Other Receivables

Corporate Loans:  Corporate loans categorized within Level 2 of the fair value hierarchy are measured based on market consensus pricing service quotations. Where available, market price quotations from external pricing services are reviewed to ensure they are supported by transaction data. Corporate loans categorized within Level 3 of the fair value hierarchy are measured based on price quotations that are considered to be less transparent, market prices for debt securities of the same creditor and estimates of future cash flows incorporating assumptions regarding creditor default and recovery rates and consideration of the issuer's capital structure.
Participation Certificates in Agency Residential Loans: Valuations of participation certificates in agency residential loans are based on observed market prices of recently executed purchases and sales of similar loans and data provider pricing. The loan participation certificates are categorized within Level 2 of the fair value hierarchy given the observability and volume of recently executed transactions and availability of data provider pricing.
Project Loans and Participation Certificates in GNMA Project and Construction Loans:  Valuations of participation certificates in GNMA project and construction loans are based on inputs corroborated from and benchmarked to observed prices of recent securitizations with similar underlying loan collateral to derive an implied spread. Securitization prices are adjusted to estimate the fair value of the loans to account for the arbitrage that is realized at the time of securitization. The measurements are categorized within Level 2 of the fair value hierarchy given the observability and volume of recently executed transactions.
Consumer Loans and Funding Facilities:  Consumer and small business whole loans and related funding facilities are valued based on observed market transactions and incorporating valuation inputs including, but not limited to, delinquency and default rates, prepayment rates, borrower characteristics, loan risk grades and loan age. These assets are categorized within Level 2 or Level 3 of the fair value hierarchy.
Escrow and Claim Receivables:  Escrow and claim receivables are categorized within Level 3 of the fair value hierarchy where fair value is estimated based on reference to market prices and implied yields of debt securities of the same or similar issuers. Escrow and claim receivables are categorized within Level 2 of the fair value hierarchy where fair value is based on recent observations in the same receivable.

Derivatives

Listed Derivative Contracts:  Listed derivative contracts that are actively traded are measured based on quoted exchange prices, broker quotes or vanilla option valuation models, such as Black-Scholes, using observable valuation inputs from the principal market or consensus pricing services. Exchange quotes and/or valuation inputs are generally obtained from external vendors and pricing services. Broker quotes are validated directly through observable and tradeable quotes. Listed derivative contracts that use unadjusted exchange close prices are generally categorized within Level 1 of the fair value hierarchy. All other listed derivative contracts are generally categorized within Level 2 of the fair value hierarchy.
Over-the-Counter ("OTC") Derivative Contracts:  OTC derivative contracts are generally valued using models, whose inputs reflect assumptions that we believe market participants would use in valuing the derivative in a current transaction. Where available, valuation inputs are calibrated from observable market data. For many OTC derivative contracts, the valuation models do not involve material subjectivity as the methodologies do not entail significant judgment and the inputs to valuation models do not involve a high degree of subjectivity as the valuation model inputs are readily observable or can be derived from actively quoted markets. OTC derivative contracts are primarily categorized within Level 2 of the fair value hierarchy given the observability and significance of the inputs to the valuation models. Where significant inputs to the valuation are unobservable, derivative instruments are categorized within Level 3 of the fair value hierarchy.

OTC options include OTC equity, foreign exchange, interest rate and commodity options measured using various valuation models, such as Black-Scholes, with key inputs including the underlying security price, foreign exchange spot rate, commodity price, implied volatility, dividend yield, interest rate curve, strike price and maturity date. Discounted cash flow models are utilized to measure certain OTC derivative contracts including the valuations of our interest rate swaps, which incorporate observable inputs related to interest rate curves, valuations of our foreign exchange forwards and swaps, which incorporate observable inputs related to foreign currency spot rates and forward curves and valuations of our commodity swaps and forwards, which incorporate observable inputs related to commodity spot prices and forward curves. Discounted cash flow models are also utilized to measure certain variable funding note swaps, which are backed by CLOs and incorporate constant prepayment rate, constant default rate and loss severity assumptions. Credit default swaps include both index and single-name credit default swaps. Where available, external data is used in measuring index credit default swaps and single-name credit default swaps. For commodity and equity total return swaps, market prices are generally observable for the underlying asset and used as the basis for measuring the fair value of the derivative contracts. Total return swaps executed on other underlyings are measured based on valuations received from external pricing services.
Oil Futures Derivatives: Vitesse Energy Finance uses swaps and call and put options in order to reduce exposure to future oil price fluctuations. Vitesse Energy Finance accounts for the derivative instruments at fair value, which are classified as either Level 1 or Level 2 within the fair value hierarchy. Fair values classified as Level 1 are measured based on quoted closing exchange prices obtained from external pricing services and Level 2 are determined under the income valuation technique using an option-pricing model that is based on directly or indirectly observable inputs.

Investments at Fair Value

Investments at fair value include investments in hedge funds, fund of funds and private equity funds, which are measured at the NAV of the funds, provided by the fund managers and are excluded from the fair value hierarchy. Investments at fair value also include direct equity investments in private companies, which are measured at fair value using valuation techniques involving quoted prices of or market data for comparable companies, similar company ratios and multiples (e.g., price/EBITDA, price/book value), discounted cash flow analyses, contingent claims analysis and transaction prices observed for subsequent financing or capital issuance by the company. Direct equity investments in private companies are categorized within Level 2 or Level 3 of the fair value hierarchy.
 
The following tables present information about our investments in entities that have the characteristics of an investment company (in thousands):
 Fair Value (1)Unfunded
Commitments
August 31, 2020
Equity Long/Short Hedge Funds (2)$322,020 $— 
Equity Funds (3)31,477 13,510 
Commodity Fund (4)16,204 — 
Multi-asset Funds (5)558,452 — 
Other Funds (6)65 — 
Total $928,218 $13,510 
November 30, 2019  
Equity Long/Short Hedge Funds (2) $291,593 $— 
Equity Funds (3)44,576 14,621 
Commodity Fund (4)16,025 — 
Multi-asset Funds (5)234,583 — 
Other Funds (6)157 — 
Total $586,934 $14,621 
 
(1)Where fair value is calculated based on NAV, fair value has been derived from each of the funds' capital statements.
(2)This category includes investments in hedge funds that invest, long and short, primarily in both public and private equity securities in domestic and international markets. At August 31, 2020 and November 30, 2019, 6% and 6%, respectively, of investments in this category are redeemable quarterly with 60 days prior written notice.
(3)The investments in this category include investments in equity funds that invest in the equity of various U.S. and foreign private companies. These investments cannot be redeemed; instead distributions are received through the liquidation of the underlying assets of the funds, which are expected to be liquidated in approximately one to eight years. 
(4)This category includes investments in a hedge fund that invests, long and short, primarily in commodities. Investments in this category are redeemable quarterly with 60 days prior written notice.
(5)This category includes investments in hedge funds that invest, long and short, primarily in multi-asset securities in domestic and international markets in both the public and private sectors. At August 31, 2020 and November 30, 2019, investments representing approximately 58% and 5%, respectively, of the fair value of investments in this category are redeemable monthly with 30 or 60 days prior written notice.
(6)This category includes investments in a fund that invests in loans secured by a first trust deed on property, domestic and international public high yield debt, private high yield investments, senior bank loans, public leveraged equities, distressed debt and private equity investments and there are no redemption provisions. This category also includes investments in a fund of funds that invests in various private equity funds that are managed by us and have no redemption provisions. Investments in the fund of funds are gradually being liquidated, however, the timing of when the proceeds will be received is uncertain.
Investments at fair value also include our investment in The We Company. We invested $9.0 million in The We Company in 2013 and currently own less than 1% of The We Company. Our interest in The We Company is reflected in Financial instruments owned, at fair value of $9.6 million and $53.8 million at August 31, 2020 and November 30, 2019, respectively.
Investment in FXCM

Our investment in FXCM and associated companies consists of a senior secured term loan due February 15, 2021 ($71.6 million principal outstanding at August 31, 2020), a 50% voting interest in FXCM and rights to a majority of all distributions in respect of the equity of FXCM. Our investment in the FXCM term loan is reported within Financial instruments owned, at fair value in the Consolidated Statements of Financial Condition. We classify our equity investment in FXCM in the Consolidated Statements of Financial Condition as Loans to and investments in associated companies, as we have the ability to significantly influence FXCM through our seats on the board of directors.

We estimate the fair value of our term loan by using a valuation model with inputs including management's assumptions concerning the amount and timing of expected cash flows, the loan's implied credit rating and effective yield. Because of these inputs and the degree of judgment involved, we have categorized our term loan within Level 3 of the fair value hierarchy.

Loans to and Investments in Associated Companies

Corporate bonds are measured primarily using pricing data from external pricing services and are categorized within Level 2 of the fair value hierarchy. Non-exchange-traded equity warrants with no pricing from external pricing services are generally categorized within Level 3 of the fair value hierarchy. The warrants are measured using the Black-Scholes model with key inputs impacting the valuation including the underlying security price, implied volatility, interest rate curve, strike price and maturity date.

Securities Purchased Under Agreements to Resell

Securities purchased under agreements to resell may include embedded call features. The valuation of these instruments is based on review of expected future cash flows, interest rates, funding spreads and the fair value of the underlying collateral. Securities purchased under agreements to resell are categorized within Level 3 of the fair value hierarchy due to limited observability of the embedded derivative and unobservable credit spreads.

Other Secured Financings

Other secured financings that are accounted for at fair value are classified within Level 3 of the fair value hierarchy. Fair value is based on estimates of future cash flows incorporating assumptions regarding recovery rates.

Securities Received as Collateral/Obligations to Return Securities Received as Collateral

In connection with securities-for-securities transactions in which we are the lender of securities and are permitted to sell or repledge the securities received as collateral, we report the fair value of the collateral received and the related obligation to return the collateral. Valuation is based on the price of the underlying security and is categorized within Level 1 of the fair value hierarchy.

Short-term Borrowings and Long-term Debt

Short-term borrowings that are accounted for at fair value include equity-linked notes, which are generally categorized within Level 2 of the fair value hierarchy, as the fair value is based on the price of the underlying equity security. Long-term debt includes variable rate, fixed-to-floating rate, constant maturity swap, digital and Bermudan structured notes. These are valued using various valuation models that incorporate Jefferies Group's own credit spread, market price quotations from external pricing sources referencing the appropriate interest rate curves, volatilities and other inputs as well as prices for transactions in a given note during the period. Long-term debt notes are generally categorized within Level 2 of the fair value hierarchy, where market trades have been observed during the quarter, otherwise they are categorized within Level 3.

Nonrecurring Fair Value Measurements
HomeFed has a 49% membership interest in the RedSky JZ Fulton Investors ("RedSky JZ Fulton Mall") joint venture, which owns a property in Brooklyn, New York. The property consists of 14 separate tax lots, divided into two development sites which may be redeveloped with buildings consisting of up to 540,000 square feet of floor area development rights. During the
three months ended February 29, 2020, difficulties were encountered with attempts to refinance debt within the investment. We viewed this, combined with a softening of the Brooklyn, New York real estate market during the quarter, as a triggering event and evaluated HomeFed's equity method investment in RedSky JZ Fulton Mall to determine if there was an impairment. In connection with this evaluation, we obtained an appraisal which reflected a reduction in the value of the investment in comparison to an earlier appraisal obtained shortly before the beginning of the quarter. The appraisal was based off of Level 3 inputs consisting of prices of comparable properties and the appraisal indicated that the value of the property was worth less than the debt outstanding. HomeFed recorded an impairment charge of $55.6 million within Income (loss) related to associated companies during the nine months ended August 31, 2020, which represented all of its carrying value in the joint venture.

Due to a decline in oil and gas prices during the second quarter of 2020, Vitesse Energy Finance performed impairment analyses on its proven oil and gas properties in the Denver-Julesburg Basin ("DJ Basin") of Wyoming and Colorado and the Bakken Shale oil field in North Dakota. Vitesse Energy Finance first determined the estimated undiscounted cash flows based on the reserves and costs utilized in its reserve report and then updated those cash flows based on strip pricing as of May 31, 2020. The expected undiscounted future net cash flows were then compared to the end of quarter net carrying value of the oil and gas properties. No impairment of the Bakken Shale oil field assets was necessary as the undiscounted future net cash flows significantly exceeded the carrying value of these assets. As undiscounted future net cash flows were lower than the carrying value of the DJ Basin properties, Vitesse Energy Finance then determined the estimated fair value of the proven properties. To measure the estimated fair value of its proven properties, Vitesse Energy Finance used unobservable Level 3 inputs, including a 10.0% discount rate and estimated future cash flows from its reserve report. The estimated fair value of Vitesse Energy Finance's proven oil and gas properties in the DJ Basin totaled $26.8 million, which was $13.2 million lower than the carrying value as of the end of the second quarter of 2020. As a result, an impairment charge of $13.2 million was recorded in Selling, general and other expenses during the nine months ended August 31, 2020.

Due to a decline in oil and gas prices during the first quarter of 2020, JETX Energy performed an impairment analysis for its oil and gas properties in the East Eagle Ford. JETX Energy first determined the estimated undiscounted cash flows based on the reserves and costs utilized in its reserve report and then updated those cash flows based on strip pricing as of February 29, 2020. The expected undiscounted future net cash flows were then compared to the end of quarter net carrying value of the proven properties. As the undiscounted future net cash flows were lower than the carrying value, JETX Energy then determined the estimated fair value of the proven properties. To measure the estimated fair value of its proven properties, JETX Energy used unobservable Level 3 inputs, including a 10.0% discount rate and estimated future cash flows from its reserve report. The estimated fair value of JETX Energy's proven oil and gas properties in the East Eagle Ford totaled $9.6 million, which was $33.0 million lower than the carrying value as of the end of first quarter of 2020. As a result, an impairment charge of $33.0 million was recorded in Selling, general and other expenses during the nine months ended August 31, 2020.
Level 3 Rollforwards

The following is a summary of changes in fair value of our financial assets and liabilities that have been categorized within Level 3 of the fair value hierarchy for the three months ended August 31, 2020 (in thousands):
Three Months Ended August 31, 2020
 Balance, May 31, 2020Total gains/ losses
(realized and unrealized) (1)
PurchasesSalesSettlementsIssuancesNet transfers
into (out of)
Level 3
Balance, August 31, 2020Changes in
unrealized gains/losses included in earnings relating to instruments still held at
August 31, 2020 (1)
Assets:
Financial instruments owned, at fair value:
Corporate equity securities$76,140 $(597)$779 $— $— $— $1,619 $77,941 $(597)
Corporate debt securities25,178 (889)(394)— — (630)23,269 (881)
CDOs and CLOs31,551 3,813 39 (7,539)(2,318)— 10,576 36,122 159 
Residential mortgage-backed securities
22,339 1,240 — — (774)— 5,512 28,317 1,262 
Commercial mortgage-backed securities
4,461 202 — — — — — 4,663 198 
Other asset-backed securities86,062 (1,585)3,313 — (7,442)— (17,011)63,337 (5,101)
Loans and other receivables121,129 13,109 18,492 (13,897)(355)— 24,463 162,941 13,440 
Investments at fair value154,238 24,179 7,183 — (13,102)— — 172,498 23,030 
FXCM term loan 53,765 2,777 — — — — — 56,542 2,777 
Loans to and investments in associated companies
— — — — — — 34,688 34,688 — 
Liabilities: 
Financial instruments sold, not yet purchased, at fair value:
 
Corporate equity securities$4,190 $(12)$— $— $— $— $189 $4,367 $12 
Corporate debt securities163 (15)— — — — — 148 15 
Commercial mortgage-backed securities
140 — (140)35 — — — 35 — 
Loans10,674 6,636 (23,001)3,558 — — 48,727 46,594 (6,591)
Net derivatives (2)45,131 (12,175)(1,404)13,089 (648)— (21,568)22,425 12,007 
Other secured financings— (617)— — — 4,019 — 3,402 617 
Long-term debt (1)
497,040 130,463 — — — 5,749 (2,992)630,260 (42,163)

(1)Realized and unrealized gains/losses are primarily reported in Principal transactions revenues in the Consolidated Statements of Operations. Changes in instrument specific credit risk related to structured notes are included in the Consolidated Statements of Comprehensive Income (Loss), net of tax. Changes in unrealized gains/losses included in other comprehensive income (loss) for instruments still held at August 31, 2020 were losses of $88.3 million during the three months ended August 31, 2020.
(2)Net derivatives represent Financial instruments owned, at fair value - Derivatives and Financial instruments sold, not yet purchased, at fair value - Derivatives.

Analysis of Level 3 Assets and Liabilities for the three months ended August 31, 2020

During the three months ended August 31, 2020, transfers of assets of $64.5 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Loans and other receivables of $31.8 million, CDOs and CLOs of $19.5 million, other asset-backed securities of $5.8 million and residential mortgage-backed securities of $5.5 million due to reduced pricing transparency.

During the three months ended August 31, 2020, transfers of assets into Level 3 also include $34.7 million related to Loans to and investments in associated companies.
During the three months ended August 31, 2020, transfers of assets of $39.9 million from Level 3 to Level 2 are primarily attributed to:
Other asset-backed securities of $22.9 million, CDOs and CLOs of $8.9 million and loans and other receivables of $7.4 million due to greater pricing transparency supporting classification into Level 2.

During the three months ended August 31, 2020, transfers of liabilities of $54.4 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Loans of $50.1 million and net derivatives of $4.1 million due to reduced pricing and market transparency.
During the three months ended August 31, 2020, transfers of liabilities of $30.0 million from Level 3 to Level 2 of the fair value hierarchy are primarily attributed to:
Net derivatives of $25.6 million and structured notes of $3.0 million due to greater pricing and market pricing transparency.

Net gains on Level 3 assets were $42.2 million and net losses on Level 3 liabilities were $124.3 million for the three months ended August 31, 2020. Net gains on Level 3 assets were primarily due to increased market values across investments at fair value, loans and other receivables, CDOs and CLOs and the FXCM term loan, partially offset by decreased market values across other asset-backed securities. Net losses on Level 3 liabilities were primarily due to increased valuations of certain structured notes, partially offset by decreased market values across derivatives.

The following is a summary of changes in fair value of our financial assets and liabilities that have been categorized within Level 3 of the fair value hierarchy for the nine months ended August 31, 2020 (in thousands):
Nine Months Ended August 31, 2020
 Balance, November 30, 2019Total gains/ losses
(realized and unrealized) (1)
PurchasesSalesSettlementsIssuancesNet transfers
into (out of)
Level 3
Balance, August 31, 2020Changes in
unrealized gains/losses included in earnings relating to instruments still held at
August 31, 2020 (1)
Assets:
Financial instruments owned, at fair value:
Corporate equity securities$58,426 $(3,914)$3,406 $(13,555)$— $— $33,578 $77,941 $(775)
Corporate debt securities7,490 (162)285 (489)(602)— 16,747 23,269 (591)
CDOs and CLOs28,788 (8,000)10,883 (20,935)(6,847)— 32,233 36,122 (20,739)
Residential mortgage-backed securities
17,740 (1,347)7,625 — (496)— 4,795 28,317 (1,811)
Commercial mortgage-backed securities
6,110 232 — — (1,785)— 106 4,663 807 
Other asset-backed securities42,563 (3,495)29,096 (664)(22,125)— 17,962 63,337 (13,012)
Loans and other receivables114,080 966 309,982 (208,958)(57,371)— 4,242 162,941 1,291 
Investments at fair value205,412 (62,415)42,771 (168)(13,102)— — 172,498 (64,263)
FXCM term loan 59,120 (2,578)— — — — — 56,542 (2,578)
Loans to and investments in associated companies
— — — — — — 34,688 34,688 — 
Securities purchased under
agreements to resell
25,000 — — — (25,000)— — — — 
Liabilities:         
Financial instruments sold, not yet purchased, at fair value:
         
Corporate equity securities$4,487 $258 $(567)$— $— $— $189 $4,367 $98 
Corporate debt securities340 (261)(325)394 — — — 148 20 
Commercial mortgage-backed securities
35 — (35)35 — — — 35 — 
Loans9,463 2,986 (5,760)38,531 — — 1,374 46,594 (3,366)
Net derivatives (2)77,168 (63,367)(6,732)26,656 (1,567)— (9,733)22,425 60,257 
Other secured financings— (617)— — — 4,019 — 3,402 617 
Long-term debt (1)
480,069 10,851 — — (2,000)202,046 (60,706)630,260 (28,153)
(1)Realized and unrealized gains/losses are primarily reported in Principal transactions revenues in the Consolidated Statements of Operations. Changes in instrument specific credit risk related to structured notes are included in the Consolidated Statements of Comprehensive Income (Loss), net of tax. Changes in unrealized gains/losses included in other comprehensive income (loss) for instruments still held at August 31, 2020 were gains of $17.3 million during the nine months ended August 31, 2020.
(2)Net derivatives represent Financial instruments owned, at fair value - Derivatives and Financial instruments sold, not yet purchased, at fair value - Derivatives.

Analysis of Level 3 Assets and Liabilities for the nine months ended August 31, 2020

During the nine months ended August 31, 2020, transfers of assets of $132.0 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Corporate equity securities of $36.6 million, CDOs and CLOs of $34.1 million, other asset-backed securities of $23.5 million, corporate debt securities of $18.6 million and loans and other receivables of $13.4 million due to reduced pricing transparency.

During the nine months ended August 31, 2020, transfers of assets into Level 3 also include $34.7 million related to Loans to and investments in associated companies.

During the nine months ended August 31, 2020, transfers of assets of $22.3 million from Level 3 to Level 2 are primarily attributed to:
Loans and other receivables of $9.2 million, other asset-backed securities of $5.6 million and corporate equity securities of $3.1 million due to greater pricing transparency supporting classification into Level 2.

During the nine months ended August 31, 2020, transfers of liabilities of $37.3 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Net derivatives of $35.2 million due to reduced pricing transparency.
During the nine months ended August 31, 2020, transfers of liabilities of $106.2 million from Level 3 to Level 2 of the fair value hierarchy are primarily attributed to:
Structured notes of $60.7 million and net derivatives of $45.0 million due to greater market and pricing transparency.

Net losses on Level 3 assets were $80.7 million and net gains on Level 3 liabilities were $50.1 million for the nine months ended August 31, 2020. Net losses on Level 3 assets were primarily due to decreased market values across investments at fair value, CDOs and CLOs, corporate equity securities, other assets-backed securities and the FXCM term loan. Net gains on Level 3 liabilities were primarily due to decreased market values across derivatives, partially offset by increased valuations of certain structured notes.
The following is a summary of changes in fair value of our financial assets and liabilities that have been categorized within Level 3 of the fair value hierarchy for the three months ended August 31, 2019 (in thousands):

Three Months Ended August 31, 2019
Balance, May 31 2019Total gains/ losses (realized and unrealized) (1)PurchasesSalesSettlementsIssuancesNet transfers into (out of) Level 3Balance, August 31, 2019Changes in
unrealized gains/ losses included in earnings relating to instruments still held at
August 31, 2019 (1)
Assets:
Financial instruments owned, at fair value:
Corporate equity securities$59,572 $12,547 $16,508 $(17,502)$— $— $(20,255)$50,870 $12,067 
Corporate debt securities8,346 (3,072)1,175 (1,942)(85)— 4,866 9,288 (3,047)
CDOs and CLOs25,912 (1,499)— — (609)— 6,454 30,258 (2,097)
Residential mortgage-backed securities
17,266 (1,917)— (65)(22)— 2,667 17,929 (1,435)
Commercial mortgage-backed securities
12,530 (2,003)— (1,703)(3,362)— — 5,462 (3,143)
Other asset-backed securities43,185 (1,689)13,497 (6,975)(5,500)— (7,920)34,598 (1,068)
Loans and other receivables98,484 (2,847)26,921 (33,409)(1,287)— (12,299)75,563 (2,392)
Investments at fair value408,739 (152,162)1,067 (296)— — 35,135 292,483 (152,162)
FXCM term loan56,600 2,293 — — (303)— — 58,590 2,293 
Securities purchased under
agreements to resell
25,000 — — — — — — 25,000 — 
Liabilities:
Financial instruments sold, not yet purchased, at fair value:
Corporate equity securities$221 $401 $(221)$— $(190)$— $— $211 $(35)
Corporate debt securities669 (650)(34)— (369)— 1,586 1,202 649 
Commercial mortgage-backed securities
— — — 35 — — — 35 — 
Loans9,428 (520)(10,281)5,384 — — 12,619 16,630 531 
Net derivatives (2)47,449 (19,519)— 6,766 (14)— 16,081 50,763 18,507 
Long-term debt (1)
236,562 7,455 — — — 114,641 (10,595)348,063 (8,162)

(1)Realized and unrealized gains/losses are primarily reported in Principal transactions revenues in the Consolidated Statements of Operations. Changes in instrument specific credit risk related to structured notes are included in the Consolidated Statements of Comprehensive Income (Loss), net of tax. Changes in unrealized gains/losses included in other comprehensive income (loss) for instruments still held at August 31, 2019 were gains of $0.7 million during the three months ended August 31, 2019.
(2)Net derivatives represent Financial instruments owned, at fair value - Derivatives and Financial instruments sold, not yet purchased, at fair value - Derivatives.

Analysis of Level 3 Assets and Liabilities for the three months ended August 31, 2019

During the three months ended August 31, 2019, transfers of assets of $79.0 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Investments at fair value of $35.1 million and loans and other receivables of $23.7 million due to reduced pricing transparency.

During the three months ended August 31, 2019, transfers of assets of $70.3 million from Level 3 to Level 2 are primarily attributed to:
Loans and other receivables of $36.0 million and corporate equity securities of $22.1 million due to greater pricing transparency supporting classification into Level 2.
During the three months ended August 31, 2019, transfers of liabilities of $43.5 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Net derivatives of $17.6 million, loans of $13.3 million and structured notes of $11.0 million due to reduced market and pricing transparency.

During the three months ended August 31, 2019, transfers of liabilities of $23.8 million from Level 3 to Level 2 of the fair value hierarchy are primarily attributed to:
Structured notes of $21.6 million due to greater market transparency.

Net losses on Level 3 assets were $150.3 million and net gains on Level 3 liabilities were $12.8 million for the three months ended August 31, 2019. Net losses on Level 3 assets were primarily due to decreased market values across investments at fair value, corporate debt securities, loans and other receivables and commercial mortgage-backed securities, partially offset by increased market values in the FXCM term loan and across corporate equity securities. Net gains on Level 3 liabilities were primarily due to decreased market values across certain derivatives.

The following is a summary of changes in fair value of our financial assets and liabilities that have been categorized within Level 3 of the fair value hierarchy for the nine months ended August 31, 2019 (in thousands):

Nine Months Ended August 31, 2019
 
Balance, November 30, 2018
Total gains/ losses
(realized and unrealized) (1)
PurchasesSalesSettlementsIssuancesNet transfers
into (out of)
Level 3
Balance, August 31, 2019Changes in
unrealized gains/ losses included in earnings relating to instruments still held at
August 31, 2019 (1)
Assets:
Financial instruments owned, at fair value:
Corporate equity securities$52,192 $15,499 $23,172 $(25,431)$(669)$— $(13,893)$50,870 $14,071 
Corporate debt securities9,484 (4,904)6,080 (10,544)(553)— 9,725 9,288 (5,325)
CDOs and CLOs36,105 (4,320)48,112 (43,230)(3,014)— (3,395)30,258 (6,781)
Residential mortgage-backed securities
19,603 (2,573)2,166 (2,022)(171)— 926 17,929 (2,166)
Commercial mortgage-backed securities
10,886 (2,196)11 (2,023)(6,638)— 5,422 5,462 (4,326)
Other asset-backed securities53,175 (929)14,698 (2,494)(30,623)— 771 34,598 (961)
Loans and other receivables46,985 3,933 178,069 (166,496)(8,379)— 21,451 75,563 682 
Investments at fair value396,254 (119,110)42,579 (18,598)— — (8,642)292,483 (119,110)
FXCM term loan73,150 (8,669)1,500 — (7,391)— — 58,590 (8,669)
Securities purchased under
agreements to resell
— — — — — 25,000 — 25,000 — 
Liabilities:         
Financial instruments sold, not yet purchased, at fair value:
         
Corporate equity securities$— $401 $— $— $(190)$— $— $211 $(35)
Corporate debt securities522 (867)— — (524)— 2,071 1,202 867 
Commercial mortgage-backed securities
— — — 35 — — — 35 — 
Loans6,376 (1,342)(8,553)9,929 — — 10,220 16,630 1,583 
Net derivatives (2)21,614 (48,746)(2,829)16,313 1,609 — 62,802 50,763 40,052 
Long-term debt (1)
200,745 (5,286)— — (11,250)204,710 (40,856)348,063 (4,517)

(1)Realized and unrealized gains/losses are primarily reported in Principal transactions revenues in the Consolidated Statements of Operations. Changes in instrument specific credit risk related to structured notes are included in the Consolidated Statements of Comprehensive Income (Loss), net of tax. Changes in unrealized gains (losses) included in other comprehensive income (loss) for instruments still held at August 31, 2019 were gains of $9.8 million during the nine months ended August 31, 2019.
(2)Net derivatives represent Financial instruments owned, at fair value - Derivatives and Financial instruments sold, not yet purchased, at fair value - Derivatives.
Analysis of Level 3 Assets and Liabilities for the nine months ended August 31, 2019

During the nine months ended August 31, 2019, transfers of assets of $60.2 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Loans and other receivables of $30.6 million, other asset-backed securities of $10.8 million and corporate debt securities of $10.5 million due to reduced pricing transparency.

During the nine months ended August 31, 2019, transfers of assets of $47.8 million from Level 3 to Level 2 are primarily attributed to:
Corporate equity securities of $14.8 million, other asset-backed securities of $10.0 million, loans and other receivables of $9.2 million and investments at fair value of $8.6 million due to greater pricing transparency supporting classification into Level 2.

During the nine months ended August 31, 2019, transfers of liabilities of $98.3 million from Level 2 to Level 3 of the fair value hierarchy are primarily attributed to:
Net derivatives of $64.5 million and structured notes of $20.8 million due to reduced market and pricing transparency.

During the nine months ended August 31, 2019, transfers of liabilities of $64.1 million from Level 3 to Level 2 of the fair value hierarchy are primarily attributed to:
Structured notes of $61.7 million due to greater market transparency.

Net losses on Level 3 assets were $123.3 million and net gains on Level 3 liabilities were $55.8 million for the nine months ended August 31, 2019. Net losses on Level 3 assets were primarily due to decreased market values across investments at fair value, the FXCM term loan, corporate debt securities and CDOs and CLOs, partially offset by increased market values across corporate equity securities. Net gains on Level 3 liabilities were primarily due to decreased market values across derivatives and valuations of certain structured notes.

Quantitative Information about Significant Unobservable Inputs used in Level 3 Fair Value Measurements

The tables below present information on the valuation techniques, significant unobservable inputs and their ranges for our financial assets and liabilities, subject to threshold levels related to the market value of the positions held, measured at fair value on a recurring basis with a significant Level 3 balance. The range of unobservable inputs could differ significantly across different firms given the range of products across different firms in the financial services sector. The inputs are not representative of the inputs that could have been used in the valuation of any one financial instrument (i.e., the input used for valuing one financial instrument within a particular class of financial instruments may not be appropriate for valuing other financial instruments within that given class). Additionally, the ranges of inputs presented below should not be construed to represent uncertainty regarding the fair values of our financial instruments; rather, the range of inputs is reflective of the differences in the underlying characteristics of the financial instruments in each category.

For certain categories, we have provided a weighted average of the inputs allocated based on the fair values of the financial instruments comprising the category. We do not believe that the range or weighted average of the inputs is indicative of the reasonableness of uncertainty of our Level 3 fair values. The range and weighted average are driven by the individual financial instruments within each category and their relative distribution in the population. The disclosed inputs when compared with the inputs as disclosed in other periods should not be expected to necessarily be indicative of changes in our estimates of unobservable inputs for a particular financial instrument as the population of financial instruments comprising the category will vary from period to period based on purchases and sales of financial instruments during the period as well as transfers into and out of Level 3 each period.
August 31, 2020
Fair Value
(in thousands)
Valuation
 Technique
Significant
Unobservable Input(s)
Input/Range
Weighted
Average
Financial instruments owned, at fair value
Corporate equity securities$77,442   
Non-exchange-traded
securities
Market approachPrice$1to$213$84
EBITDA multiple$3to$4$3
Corporate debt securities$23,269 Market approachPrice$69— 
Scenario analysis
Estimated recovery percentage
22%— 
CDOs and CLOs$36,122 Discounted cash flowsConstant prepayment rate%to20%19 %
     Constant default rate%to2%%
     Loss severity25 %to50%28 %
     Discount rate/yield%to26%17 %
Scenario analysisEstimated recovery percentage%to35%24 %
Residential mortgage-
backed securities
$28,317 Discounted cash flowsCumulative loss rate%to32%%
     Duration (years)1.0 yearto13.0 years9.7 years
     Discount rate/yield%to14%%
Commercial mortgage-
backed securities
$4,663 Scenario analysisEstimated recovery percentage44%— 
Other asset-backed securities$63,337 Discounted cash flowsCumulative loss rate%to72%18 %
     Duration (years)0.3 yearsto4.2 years1.8 years
     Discount rate/yield%to15%10 %
Market approachPrice$100— 
Loans and other receivables$104,212 Market approachPrice$6to$100$76
  Scenario analysis
Estimated recovery percentage
%to100%62 %
Derivatives$50,637     
Loans total return swapsMarket approachPrice$97to$99$98
Interest rate swaps    Market approachBasis points upfront3to209
Investments at fair value$76,654     
Private equity securitiesMarket approachPrice$2to$169$42
Scenario analysisEstimated recovery percentage33%— 
Discount rate/yield19 %to21%20 %
Revenue growth0%— 
Investment in FXCM$56,542     
Term loanDiscounted cash flows
Term based on the pay off (years)
0 monthsto1.5 years1.5 years
Loans to and investments in
associated companies
$34,688 
Non-exchange-traded
warrants
Market approachUnderlying stock price$506— 
Underlying stock price€15to€18€17
Volatility23 %to59%25 %
  
August 31, 2020
Fair Value
(in thousands)
Valuation
 Technique
Significant
Unobservable Input(s)
Input/Range
Weighted
Average
Financial instruments sold, not yet purchased, at fair value
Corporate equity securities$4,367 Market approachTransaction level$1— 
Corporate debt securities$148 Scenario analysis
Estimated recovery percentage
22%— 
Loans$46,594 Market approachPrice$31to$97$70
Scenario analysis
Estimated recovery percentage
2%— 
Derivatives$69,615     
Equity optionsVolatility benchmarkingVolatility32 %to46%39 %
Interest rate swaps    Market approachBasis points upfront3to209
Unfunded commitmentsPrice$97to$99$98
Other secured financings$3,402 Scenario analysis
Estimated recovery percentage
60 %to100%79 %
Long-term debt
Structured notes
$630,260 Market approachPrice$77to$105$99
Price€69to€107€91
November 30, 2019
Fair Value
(in thousands)
Valuation
 Technique
Significant
Unobservable Input(s)
Input/RangeWeighted
Average
Financial instruments owned, at fair value
Corporate equity securities$29,017   
Non-exchange-traded
securities
Market approachPrice$1to$140$55
Underlying stock price$3to$5$4
Corporate debt securities$7,490 Scenario analysis
Estimated recovery percentage
23 %to85%46 %
Volatility44%— 
Credit spread750— 
Underlying stock price£0.4— 
CDOs and CLOs$28,788 Discounted cash flowsConstant prepayment rate20%— 
     Constant default rate%to2%%
     Loss severity25 %to37%29 %
     Discount rate/yield12 %to21%15 %
Scenario analysisEstimated recovery percentage3.25 %to36.5%25 %
Residential mortgage-
backed securities
$17,740 Discounted cash flowsCumulative loss rate2%— 
     Duration (years)6.3 years— 
     Discount rate/yield3%— 
Commercial mortgage-
backed securities
$6,110 Discounted cash flowsCumulative loss rate7.3%— 
     Duration (years)0.2 years— 
Discount rate/yield85%— 
Scenario analysisEstimated recovery percentage44%— 
Other asset-backed securities$42,563 Discounted cash flowsCumulative loss rate%to31%16 %
     Duration (years)0.5 yearsto3 years1.5 years
     Discount rate/yield%to15%11 %
Loans and other receivables$112,574 Market approachPrice$36to$100$90
  Scenario analysis
Estimated recovery percentage
87 %to104%99 %
Discounted cash flows
Term based on the pay off (years)
0 monthsto0.1 years0.1 years
Derivatives$13,826     
Interest rate swaps    Market approachBasis points upfront0to166
Unfunded commitmentsPrice$88— 
Equity optionsVolatility benchmarkingVolatility45%— 
Investments at fair value$157,504     
Private equity securitiesMarket approachPrice$8to$250$80
Scenario analysisDiscount rate/yield19 %to21%20 %
Revenue growth0%— 
Investment in FXCM$59,120     
Term loanDiscounted cash flows
Term based on the pay off (years)
0 monthsto1.2 years1.2 years
Securities purchased under agreements to resell$25,000 Market approachSpread to 6 month LIBOR500— 
Duration (years)1.5 years— 
November 30, 2019
Fair Value
(in thousands)
Valuation
 Technique
Significant
Unobservable Input(s)
Input/RangeWeighted
Average
Financial instruments sold, not yet purchased, at fair value
Corporate equity securities$4,487 Market approachTransaction level$1— 
Loans$9,463 Market approachPrice$50to$100$88
Scenario analysis
Estimated recovery percentage
1%— 
Derivatives$92,057     
Equity optionsVolatility benchmarkingVolatility21 %to61%43 %
Interest rate swaps    Market approachBasis points upfront0to2213
Cross currency swapsBasis points upfront2— 
Unfunded commitmentsPrice$88— 
Long-term debt
Structured notes
$480,069 Market approachPrice$84to$108$96
Price€74to€103€91

The fair values of certain Level 3 assets and liabilities that were determined based on third-party pricing information, unadjusted past transaction prices or a percentage of the reported enterprise fair value are excluded from the above tables. At August 31, 2020 and November 30, 2019, asset exclusions consisted of $156.6 million and $79.9 million, respectively, primarily comprised of certain investments at fair value, derivatives, loans and other receivables and corporate equity securities. At August 31, 2020 and November 30, 2019, liability exclusions consisted of $5.0 million and $0.4 million, respectively, primarily comprised of certain derivatives and commercial mortgage-backed securities.
For recurring fair value measurements categorized within Level 3 of the fair value hierarchy, the uncertainty of the fair value measurement due to the use of significant unobservable inputs and interrelationships between those unobservable inputs (if any) are described below:
Corporate equity securities, corporate debt securities, loans and other receivables, certain derivatives, other asset-backed securities, private equity securities, loans to and investments in associated companies, securities purchased under agreements to resell and structured notes using a market approach valuation technique. A significant increase (decrease) in the transaction level of corporate equity securities would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the price of the private equity securities, non-exchange-traded securities, unfunded commitments, corporate debt securities, other asset-backed securities, loans and other receivables, total return swaps or structured notes would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the EBITDA multiple related to corporate equity securities would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the underlying stock price of corporate equity securities or non-exchange-traded warrants would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the volatility of the underlying stock price of non-exchange-traded warrants would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the yield or duration, in isolation, of securities purchased under agreements to resell would result in a significantly lower (higher) fair value measurement. Depending on whether we are a receiver or (payer) of basis points upfront, a significant increase in basis points would result in a significant increase (decrease) in the fair value measurement of cross currency and interest rate swaps.
Loans and other receivables, CDOs and CLOs, commercial mortgage-backed securities, corporate debt securities, private equity securities and other secured financings using scenario analysis. A significant increase (decrease) in the possible recovery rates of the cash flow outcomes underlying the financial instrument would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the price of the underlying assets of the financial instruments would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the volatility of the underlying stock price would result in a significantly higher (lower) fair value measurement. A significant increase (decrease) in the credit spread of the financial instrument would result in a significantly lower (higher) fair value measurement. A significant increase (decrease) in the discount rate/yield underlying the investment would result in a significantly lower (higher) fair value measurement. A significant increase (decrease) in the revenue growth underlying the investment would result in a significantly higher (lower) fair value measurement.
CDOs and CLOs, residential mortgage-backed securities, commercial mortgage-backed securities, other asset-backed securities, loans and other receivables and the FXCM term loan using a discounted cash flow valuation technique. A significant increase (decrease) in isolation in the constant default rate, loss severity or cumulative loss rate would result in a significantly lower (higher) fair value measurement. The impact of changes in the constant prepayment rate and duration would have differing impacts depending on the capital structure and type of security. A significant increase (decrease) in the discount rate/security yield would result in a significantly lower (higher) fair value measurement. A
significant increase (decrease) in term based on the time to pay off the loan would result in a lower (higher) fair value measurement.
Derivative equity options using volatility benchmarking. A significant increase (decrease) in volatility would result in a significantly higher (lower) fair value measurement.


Fair Value Option Election
We have elected the fair value option for all loans and loan commitments made by our investment banking and capital markets businesses. These loans and loan commitments include loans entered into by our investment banking division in connection with client bridge financing and loan syndications, loans purchased by our leveraged credit trading desk as part of our bank loan trading activities and mortgage and consumer loan commitments, purchases and fundings in connection with mortgage-backed and other asset-backed securitization activities. Loans and loan commitments originated or purchased by our leveraged credit and mortgage-backed businesses are managed on a fair value basis. Loans are included in Financial instruments owned, at fair value and loan commitments are included in Financial instruments owned, at fair value and Financial instruments sold, not yet purchased, at fair value in the Consolidated Statements of Financial Condition. The fair value option election is not applied to loans made to affiliate entities as such loans are entered into as part of ongoing, strategic business ventures. Loans to affiliate entities are included in Loans to and investments in associated companies in the Consolidated Statements of Financial Condition and are accounted for on an amortized cost basis. We have also elected the fair value option for certain of our structured notes, which are managed by our investment banking and capital markets businesses and are included in Long-term debt and Short-term borrowings in the Consolidated Statements of Financial Condition. We have elected the fair value option for certain financial instruments held by subsidiaries as the investments are risk managed on a fair value basis. The fair value option has been elected for certain other secured financings that arise in connection with our securitization activities and other structured financings. Other secured financings, receivables from brokers, dealers and clearing organizations, receivables from customers of securities operations, other receivables, payables to brokers, dealers and clearing organizations and payables to customers of securities operations, are accounted for at cost plus accrued interest rather than at fair value; however, the recorded amounts approximate fair value due to their liquid or short-term nature.
The following is a summary of gains (losses) due to changes in instrument specific credit risk on loans, other receivables and debt instruments and gains (losses) due to other changes in fair value on short-term borrowings, other secured financings and long-term debt measured at fair value under the fair value option (in thousands):
For the Three Months EndedFor the Nine Months Ended
August 31, 2020August 31, 2019August 31, 2020August 31, 2019
Financial instruments owned, at fair value:
Loans and other receivables$1,704 $2,040 $(11,256)$(5,458)
Financial instruments sold, not yet purchased, at
fair value:
    
Loans$367 $— $(610)$— 
Loan commitments1,875 (443)464 (1,200)
Short-term borrowings:
Changes in instrument specific credit risk (1)$(23)$— $(92)$— 
Other changes in fair value (2)(1,115)— (959)— 
Other secured financings:
Other changes in fair value (2)$617 $— $617 $— 
Long-term debt:    
Changes in instrument specific credit risk (1)$(177,801)$6,922 $49,369 $34,414 
Other changes in fair value (2)(9,943)(46,003)(78,567)(93,311)

(1)    Changes in instrument specific credit risk related to structured notes are included in the Consolidated Statements of Comprehensive Income (Loss), net of tax.
(2)    Other changes in fair value are included in Principal transactions revenues in the Consolidated Statements of Operations.
The following is a summary of the amount by which contractual principal exceeds fair value for loans and other receivables, long-term debt and short-term borrowings and other secured financings measured at fair value under the fair value option (in thousands):
 August 31,
2020
November 30, 2019
Financial instruments owned, at fair value:
Loans and other receivables (1)
$1,839,249 $1,546,516 
Loans and other receivables on nonaccrual status and/or 90 days or greater past due (1) (2)
334,504 197,215 
Long-term debt and short-term borrowings74,197 74,408 
Other secured financings923 — 

(1)    Interest income is recognized separately from other changes in fair value and is included in Interest income in the Consolidated Statements of Operations.
(2)    Amounts include all loans and other receivables 90 days or greater past due by which contractual principal exceeds fair value of $29.0 million and $22.2 million at August 31, 2020 and November 30, 2019, respectively.

The aggregate fair value of our loans and other receivables on nonaccrual status and/or 90 days or greater past due was $162.6 million and $127.0 million at August 31, 2020 and November 30, 2019, respectively, which includes loans and other receivables 90 days or greater past due of $13.3 million and $24.8 million at August 31, 2020 and November 30, 2019, respectively.

As of November 30, 2018, we owned 7,514,477 common shares of Spectrum Brands, representing approximately 15% of Spectrum Brands outstanding common shares. The change in the fair value of our investment in Spectrum Brands aggregated $24.0 million and $48.8 million for the three and nine months ended August 31, 2019, respectively. We distributed the Spectrum Brands shares through a special pro rata dividend effective on October 11, 2019 to stockholders of record as of the close of business on September 30, 2019. We recorded a $451.1 million dividend as of the September 16, 2019 declaration date, which was equal to the fair value of Spectrum Brands shares at that time.
We believe accounting for these investments at fair value better reflects the economics of these investments, and quoted market prices for these investments provide an objectively determined fair value at each balance sheet date.
Financial Instruments Not Measured at Fair Value
Certain of our financial instruments are not carried at fair value but are recorded at amounts that approximate fair value due to their liquid or short-term nature and generally negligible credit risk. These financial assets include Cash and cash equivalents and Cash and securities segregated and on deposit for regulatory purposes or deposited with clearing and depository organizations and would generally be presented within Level 1 of the fair value hierarchy. Cash and securities segregated and on deposit for regulatory purposes or deposited with clearing and depository organizations includes U.S. Treasury securities with a fair value of $55.9 million and $35.0 million at August 31, 2020 and November 30, 2019, respectively.