Fair Value of Assets and Liabilities | Fair Value of Assets and Liabilities Prosper measures the fair value of assets and liabilities in accordance with its fair value hierarchy which prioritizes information used to measure fair value and the effect of fair value measurements on earnings and provides for enhanced disclosures determined by the level within the hierarchy of information used in the valuation. We apply this framework whenever other standards require (or permit) assets or liabilities to be measured at fair value. Assets and liabilities carried at fair value on the balance sheets are classified among three levels based on the observability of the inputs used to determine fair value: Level 1 — The valuation is based on quoted prices in active markets for identical instruments. Level 2 — The valuation is based on observable inputs such as quoted prices for similar instruments in active markets, quoted prices for identical or similar instruments in markets that are not active, and model-based valuation methodologies for which all significant assumptions are observable in the market. Level 3 — The valuation is based on unobservable inputs that are supported by little or no market activity and that are significant to the fair value of the instrument. Level 3 valuations are typically performed using pricing models, discounted cash flow methodologies, or similar methodologies, which incorporate management’s own estimates of assumptions that market participants would use in pricing the instrument or valuations that require significant management judgment or estimation. Fair values of assets or liabilities are determined based on the fair value hierarchy, which requires an entity to maximize the use of quoted prices and observable inputs and to minimize the use of unobservable inputs when measuring fair value. Various valuation methodologies are utilized, depending on the nature of the financial instrument, including the use of market prices for identical or similar instruments, or discounted cash flow models. When possible, active and observable market data for identical or similar financial instruments are utilized. Alternatively, fair value is determined using assumptions that management believes a market participant would use in pricing the asset or liability. Financial instruments consist principally of Cash and Cash Equivalents, Restricted Cash, Available for Sale Investments, Borrower Loans, Loans Held for Sale, Accounts Receivable, Accounts Payable and Accrued Liabilities, Payable to Investors and Notes. Servicing Assets and Liabilities are also subject to fair value measurement within the financial statements of Prosper. The estimated fair values of Cash and Cash Equivalents, Restricted Cash, Accounts Receivable, Accounts Payable and Accrued Liabilities, and Payable to Investors approximate their carrying values because of their short term nature. Financial Instruments Recorded at Fair Value The fair value of the Borrower Loans, Loans Held for Sale and Notes are estimated using discounted cash flow methodologies based upon a set of valuation assumptions. The primary cash flow assumptions used to value such Borrower Loans, Loans Held for Sale and Notes include default rates derived from historical performance and discount rates applied to each credit grade based on the perceived credit risk of each credit grade. Investments held at fair value consist of available for sale investments. The available for sale investments consist of corporate debt securities, commercial paper, U.S. treasury securities, agency bonds and short term bond funds. When available, Prosper uses quoted prices in active markets to measure the fair value of securities available for sale. When utilizing market data and bid-ask spreads, Prosper uses the price within the bid-ask spread that best represents fair value. When quoted prices do not exist, Prosper uses prices obtained from independent third-party pricing services to measure the fair value of investment assets. Prosper generally obtains prices from at least two independent pricing sources for assets recorded at fair value. Prosper's primary independent pricing service provides prices based on observable trades and discounted cash flows that incorporate observable information, such as yields for similar types of securities (a benchmark interest rate plus observable spreads) and weighted-average maturity for the same or similar securities. Prosper compares the prices obtained from its primary independent pricing service to the prices obtained from the additional independent pricing services to determine if the price obtained from the primary independent pricing service is reasonable. Prosper does not adjust the prices received from independent third-party pricing services unless such prices are inconsistent with the definition of fair value and result in a material difference in the recorded amounts. The following tables present the fair value hierarchy for assets and liabilities measured at fair value (in thousands): September 30, 2016 Level 1 Inputs Level 2 Inputs Level 3 Inputs Total Assets: Borrower Loans $ — $ — $ 314,671 $ 314,671 Loans Held for Sale — — 136 136 Available for Sale Investments, at Fair Value — 42,783 — 42,783 Servicing Assets — — 12,664 12,664 Total Assets — 42,783 327,471 370,254 Liabilities: Notes $ — $ — $ 313,920 $ 313,920 Servicing Liabilities — — 254 254 Contingent Consideration — — 4,994 4,994 Total Liabilities $ — $ — $ 319,168 $ 319,168 December 31, 2015 Level 1 Inputs Level 2 Inputs Level 3 Inputs Total Assets: Borrower Loans $ — $ — $ 297,273 $ 297,273 Loans Held for Sale — — 32 32 Available for Sale Investments, at Fair Value — 73,187 — 73,187 Servicing Assets — — 14,363 14,363 Total Assets — 73,187 311,668 384,855 Liabilities: Notes $ — $ — $ 297,405 $ 297,405 Servicing Liabilities — — 484 484 Contingent Consideration — — 4,801 4,801 Total Liabilities $ — $ — $ 302,690 $ 302,690 As Prosper’s Borrower Loans, Loans Held for Sale, Notes and loan servicing rights do not trade in an active market with readily observable prices, Prosper uses significant unobservable inputs to measure the fair value of these assets and liabilities. Financial instruments are categorized in the level 3 valuation hierarchy based on the significance of unobservable factors in the overall fair value measurement. These fair value estimates may also include observable, actively quoted components derived from external sources. As a result, the realized and unrealized gains and losses for assets and liabilities within the level 3 category may include changes in fair value that were attributable to both observable and unobservable inputs. Significant Unobservable Inputs The following tables present quantitative information about the significant unobservable inputs used for Prosper’s level 3 fair value measurements at September 30, 2016 and December 31, 2015 : Borrower Loans, Loans Held for Sale and Notes: Range Unobservable Input September 30, 2016 December 31, 2015 Discount rate 4.4% - 15.2% 4.3% - 14.5% Default rate 1.6% - 14.8% 1.4% - 14.4% Servicing Rights Range Unobservable Input September 30, 2016 December 31, 2015 Discount rate 15% - 25% 15% - 25% Default rate 1.4% - 15.0% 1.2% - 14.7% Prepayment rate 14.9% - 27.7% 14.3% - 25.6% Market servicing rate 0.625 % 0.625 % At September 30, 2016 , the discounted cash flow methodology used to estimate the Note fair values used the same projected cash flows as the related Borrower Loans. As demonstrated in the following table, the fair value adjustments for Borrower Loans were largely offset by the fair value adjustments of the Notes due to the borrower payment dependent design of the Notes and because the principal balances of the Borrower Loans approximated the principal balances of the Notes. The following tables present additional information about level 3 Borrower Loans, Loans Held for Sale and Notes measured at fair value on a recurring basis (in thousands): Fair Value Measurements Using Significant Unobservable Inputs (Level 3) Borrower Loans Notes Loans Held for Sale Total Balance at January 1, 2016 $ 297,273 $ (297,405 ) $ 32 $ (100 ) Purchase of Borrower Loans/Issuance of Notes 164,436 (165,727 ) 1,619,866 1,618,575 Principal repayments (125,419 ) 129,603 (269 ) 3,915 Borrower Loans sold to third parties (1,889 ) — (1,619,488 ) (1,621,377 ) Other changes 232 (229 ) (3 ) — Change in fair value (19,962 ) 19,838 (2 ) (126 ) Balance at September 30, 2016 $ 314,671 $ (313,920 ) $ 136 $ 887 Fair Value Measurements Using Significant Unobservable Inputs (Level 3) Borrower Loans Notes Loans Held for Sale Total Balance at January 1, 2015 $ 273,243 $ (273,783 ) $ 8,463 $ 7,923 Purchase of Borrower Loans/Issuance of Notes 142,103 (142,246 ) 2,426,963 2,426,820 Principal repayments (111,864 ) 111,711 (546 ) (699 ) Borrower Loans sold to third parties (447 ) 425 (2,434,707 ) (2,434,729 ) Other changes (108 ) 119 (18 ) (7 ) Change in fair value (16,465 ) 16,520 (121 ) (66 ) Balance at September 30, 2015 $ 286,462 $ (287,254 ) $ 34 $ (758 ) Fair Value Measurements Using Significant Unobservable Inputs (Level 3) Borrower Loans Notes Loans Held for Sale Total Balance at July 1, 2016 $ 310,034 $ (309,530 ) $ 4,706 $ 5,210 Purchase of Borrower Loans/Issuance of Notes 55,221 (56,580 ) 261,855 260,496 Principal repayments (43,043 ) 45,403 (133 ) 2,227 Borrower Loans sold to third parties (751 ) — (266,286 ) (267,037 ) Other changes 238 (196 ) (4 ) 38 Change in fair value (7,028 ) 6,983 (2 ) (47 ) Balance at September 30, 2016 $ 314,671 $ (313,920 ) $ 136 $ 887 Fair Value Measurements Using Significant Unobservable Inputs (Level 3) Borrower Loans Notes Loans Held for Sale Total Balance at July 1, 2015 $ 284,200 $ (284,627 ) $ 1,431 $ 1,004 Purchase of Borrower Loans/Issuance of Notes 47,591 (47,670 ) 1,024,464 1,024,385 Principal repayments (38,407 ) 38,202 (4 ) (209 ) Borrower Loans sold to third parties (447 ) 425 (1,025,824 ) (1,025,846 ) Other changes 21 (18 ) (8 ) (5 ) Change in fair value (6,496 ) 6,434 (25 ) (87 ) Balance at September 30, 2015 $ 286,462 $ (287,254 ) $ 34 $ (758 ) The following tables present additional information about level 3 servicing assets and liabilities measured at fair value on a recurring basis (in thousands): Servicing Assets Servicing Liabilities Fair Value at January 1, 2016 14,363 484 Additions 7,092 9 Less: Changes in fair value (8,791 ) (239 ) Fair Value at September 30, 2016 12,664 254 Servicing Assets Servicing Liabilities Amortized Cost at January 1, 2015 4,163 624 Adjustment to Adopt Fair Value Measurement 546 (29 ) Fair Value at January 1, 2015 4,709 595 Additions 10,204 246 Less: Changes in fair value (3,613 ) (291 ) Fair Value at September 30, 2015 11,300 550 Servicing Assets Servicing Liabilities Fair Value at July 1, 2016 14,297 324 Additions 1,342 — Less: Changes in fair value (2,975 ) (70 ) Fair Value at September 30, 2016 12,664 254 Servicing Assets Servicing Liabilities Fair Value at July 1, 2015 8,682 606 Additions 4,370 53 Less: Changes in fair value (1,752 ) (109 ) Fair Value at September 30, 2015 11,300 550 Contingent Consideration: On October 9, 2015 , PMI, purchased 100% of the outstanding shares of BillGuard . The contingent consideration was primarily performance-based and will be determined over a one -year period from the date of purchase. Total contingent consideration due in October 2016 is based on revenues generated and other criteria. We measured the fair value of the contingent consideration using a probability-weighted discounted cash flow approach. Some of the significant inputs used for the valuation are not observable in the market and are thus Level 3 inputs. Contingent consideration is recorded in the condensed consolidated balance sheets under "Other Liabilities." Significant increases or decreases in certain underlying assumptions used to value the contingent consideration could significantly increase or decrease the fair value estimates recorded in the condensed consolidated balance sheets. During the three and nine month periods ended September 30, 2016 , there were fair value changes of $65 thousand and $192 thousand , respectively, resulting in a fair value of $5.0 million at September 30, 2016 from the opening fair value at January 1, 2016 of $4.8 million . Significant Recurring Level 3 Fair Value Asset and Liability Input Sensitivity Key economic assumptions and the sensitivity of the current fair value to immediate changes in those assumptions at September 30, 2016 for Borrower Loans, Loans Held for Sale and Notes funded through the Note Channel are presented in the following table (in thousands, except percentages): Borrower Loans and Loans Held for Sale Notes Discount rate assumption: 7.59 % * 7.59 % * Resulting fair value from: 100 basis point increase $ 311,509 $ 310,760 200 basis point increase 308,426 307,680 Resulting fair value from: 100 basis point decrease $ 317,914 $ 317,161 200 basis point decrease 321,244 320,488 Default rate assumption: 11.50 % * 11.50 % * Resulting fair value from: 100 basis point increase $ 311,358 $ 310,601 200 basis point increase 308,142 307,380 Resulting fair value from: 100 basis point decrease $ 318,009 $ 317,264 200 basis point decrease 321,389 320,651 * Represents weighted average assumptions considering all credit grades. The following table presents the estimated impact on Prosper’s estimated fair value of servicing assets and liabilities, calculated using different market servicing rates and different default rates as of September 30, 2016 (in thousands, except percentages). Servicing Assets Servicing Liabilities Market servicing rate assumptions 0.625 % 0.625 % Resulting fair value from: Market servicing rate increase to 0.65% $ 11,744 $ 279 Market servicing rate decrease to 0.60% $ 13,583 $ 228 Weighted average prepayment assumptions 21.06 % 21.06 % Resulting fair value from: Applying a 1.1 multiplier to prepayment rate $ 12,426 $ 249 Applying a 0.9 multiplier to prepayment rate $ 12,904 $ 258 Weighted average default assumptions 11.64 % 11.64 % Resulting fair value from: Applying a 1.1 multiplier to default rate $ 12,451 $ 253 Applying a 0.9 multiplier to default rate $ 12,880 $ 254 These sensitivities are hypothetical and should be evaluated with care. The effect on fair value of a variation in assumptions generally cannot be determined because the relationship of the change in assumptions to the fair value may not be linear. Additionally, the impact of a variation in a particular assumption on the fair value is calculated while holding other assumptions constant. In reality, changes in one factor may lead to changes in other factors, which could impact the above hypothetical effects. |
Fair Value of Assets and Liabilities | Fair Value of Assets and Liabilities Prosper Funding measures the fair value of assets and liabilities in accordance with its fair value hierarchy which prioritizes information used to measure fair value and the effect of fair value measurements on earnings and provides for enhanced disclosures determined by the level within the hierarchy of information used in the valuation. We apply this framework whenever other standards require (or permit) assets or liabilities to be measured at fair value. Assets and liabilities carried at fair value on the balance sheets are classified among three levels based on the observability of the inputs used to determine fair value: Level 1 — The valuation is based on quoted prices in active markets for identical instruments. Level 2 — The valuation is based on observable inputs such as quoted prices for similar instruments in active markets, quoted prices for identical or similar instruments in markets that are not active, and model-based valuation methodologies for which all significant assumptions are observable in the market. Level 3 — The valuation is based on unobservable inputs that are supported by little or no market activity and that are significant to the fair value of the instrument. Level 3 valuations are typically performed using pricing models, discounted cash flow methodologies, or similar methodologies, which incorporate management’s own estimates of assumptions that market participants would use in pricing the instrument or valuations that require significant management judgment or estimation. Fair values of assets or liabilities are determined based on the fair value hierarchy, which requires an entity to maximize the use of quoted prices and observable inputs and to minimize the use of unobservable inputs when measuring fair value. Various valuation methodologies are utilized, depending on the nature of the financial instrument, including the use of market prices for identical or similar instruments, or discounted cash flow models. When possible, active and observable market data for identical or similar financial instruments are utilized. Alternatively, fair value is determined using assumptions that management believes a market participant would use in pricing the asset or liability. Financial instruments consist principally of cash and cash equivalents, restricted cash, Borrower Loans, accounts payable and accrued liabilities, and Notes. Servicing assets and liabilities are also subject to fair value measurement within the financial statements of Prosper Funding. The estimated fair values of cash and cash equivalents, restricted cash, accounts payable and accrued liabilities approximate their carrying values because of their short term nature. Financial Instruments Recorded at Fair Value The fair value of the Borrower Loans, Loans Held for Sale and Notes are estimated using discounted cash flow methodologies based upon a set of valuation assumptions. The primary cash flow assumptions used to value such Borrower Loans, Loans Held for Sale and Notes include default rates derived from historical performance and discount rates applied to each credit grade based on the perceived credit risk of each credit grade. Investments held at fair value consist of available for sale investments. The available for sale investments consist of corporate and government bonds. When available, Prosper Funding uses quoted prices in active markets to measure the fair value of securities available for sale. When utilizing market data and bid-ask spreads, Prosper Funding uses the price within the bid-ask spread that best represents fair value. When quoted prices do not exist, Prosper Funding uses prices obtained from independent third-party pricing services to measure the fair value of investment assets. Prosper Funding generally obtains prices from at least two independent pricing sources for assets recorded at fair value. Prosper Funding's primary independent pricing service provides prices based on observable trades and discounted cash flows that incorporate observable information, such as yields for similar types of securities (a benchmark interest rate plus observable spreads) and weighted-average maturity for the same or similar securities. Prosper Funding compares the prices obtained from its primary independent pricing service to the prices obtained from the additional independent pricing services to determine if the price obtained from the primary independent pricing service is reasonable. Prosper Funding does not adjust the prices received from independent third-party pricing services unless such prices are inconsistent with the definition of fair value and result in a material difference in the recorded amounts. The following tables present the fair value hierarchy for assets and liabilities measured at fair value (in thousands): September 30, 2016 Level 1 Inputs Level 2 Inputs Level 3 Inputs Total Assets: Borrower Loans $ — $ — $ 314,671 $ 314,671 Loans Held for Sale — — 136 136 Servicing Assets — — 12,274 12,274 Total Assets — — 327,081 327,081 Liabilities: Notes $ — $ — $ 313,920 $ 313,920 Servicing Liabilities — — 254 254 Total Liabilities $ — $ — $ 314,174 $ 314,174 December 31, 2015 Level 1 Inputs Level 2 Inputs Level 3 Inputs Total Assets: Borrower Loans $ — $ — $ 297,273 $ 297,273 Loans Held for Sale — — 32 32 Servicing Assets — — 13,605 13,605 Total Assets — — 310,910 310,910 Liabilities: Notes $ — $ — $ 297,405 $ 297,405 Servicing Liabilities — — 484 484 Total Liabilities $ — $ — $ 297,889 $ 297,889 As Prosper Funding’s Borrower Loans, Loans Held for Sale, Notes and loan servicing rights do not trade in an active market with readily observable prices, Prosper Funding uses significant unobservable inputs to measure the fair value of these assets and liabilities. Financial instruments are categorized in the level 3 valuation hierarchy based on the significance of unobservable factors in the overall fair value measurement. These fair value estimates may also include observable, actively quoted components derived from external sources. As a result, the realized and unrealized gains and losses for assets and liabilities within the level 3 category may include changes in fair value that were attributable to both observable and unobservable inputs. Significant Unobservable Inputs The following tables present quantitative information about the significant unobservable inputs used for Prosper Funding’s level 3 fair value measurements at September 30, 2016 and December 31, 2015 : Borrower Loans, Loans Held for Sale and Notes: Range Unobservable Input September 30, 2016 December 31, 2015 Discount rate 4.4% - 15.2% 4.3% - 14.5% Default rate 1.6% - 14.8% 1.4% - 14.4% Servicing Rights Range Unobservable Input September 30, 2016 December 31, 2015 Discount rate 15% - 25% 15% - 25% Default rate 1.4% - 15.0% 1.2% - 14.7% Prepayment rate 14.9% - 27.7% 14.3% - 25.6% Market servicing rate 0.625 % 0.625 % The changes in the Borrower Loans, Loans Held for Sale and Notes, which are Level 3 assets and liabilities measured at fair value on a recurring basis are as follows (in thousands): Fair Value Measurements Using Significant Unobservable Inputs (Level 3) Borrower Loans Notes Loans Held for Sale Total Balance at January 1, 2016 $ 297,273 $ (297,405 ) $ 32 $ (100 ) Originations 164,436 (165,727 ) 1,619,866 1,618,575 Principal repayments (125,419 ) 129,603 (269 ) 3,915 Borrower Loans sold to third parties (1,889 ) — (1,619,488 ) (1,621,377 ) Other changes 232 (229 ) (3 ) — Change in fair value (19,962 ) 19,838 (2 ) (126 ) Balance at September 30, 2016 $ 314,671 $ (313,920 ) $ 136 $ 887 Fair Value Measurements Using Significant Unobservable Inputs (Level 3) Borrower Loans Notes Loans Held for Sale Total Balance at January 1, 2015 $ 273,243 $ (273,783 ) $ 8,463 $ 7,923 Originations 142,103 (142,246 ) 2,426,963 2,426,820 Principal repayments (111,864 ) 111,711 (546 ) (699 ) Borrower Loans sold to third parties (447 ) 425 (2,434,707 ) (2,434,729 ) Other changes (108 ) 119 (18 ) (7 ) Change in fair value (16,465 ) 16,520 (121 ) (66 ) Balance at September 30, 2015 $ 286,462 $ (287,254 ) $ 34 $ (758 ) Fair Value Measurements Using Significant Unobservable Inputs (Level 3) Borrower Loans Notes Loans Held for Sale Total Balance at July 1, 2016 $ 310,034 $ (309,530 ) $ 4,706 $ 5,210 Originations 55,221 (56,580 ) 261,855 260,496 Principal repayments (43,043 ) 45,403 (133 ) 2,227 Borrower Loans sold to third parties (751 ) — (266,286 ) (267,037 ) Other changes 238 (196 ) (4 ) 38 Change in fair value (7,028 ) 6,983 (2 ) (47 ) Balance at September 30, 2016 $ 314,671 $ (313,920 ) $ 136 $ 887 Fair Value Measurements Using Significant Unobservable Inputs (Level 3) Borrower Loans Notes Loans Held for Sale Total Balance at July 1, 2015 $ 284,200 $ (284,627 ) $ 1,431 $ 1,004 Purchase of Borrower Loans/Issuance of Notes 47,591 (47,670 ) 1,024,464 1,024,385 Principal repayments (38,407 ) 38,202 (4 ) (209 ) Borrower Loans sold to third parties (447 ) 425 (1,025,824 ) (1,025,846 ) Other changes 21 (18 ) (8 ) (5 ) Change in fair value (6,496 ) 6,434 (25 ) (87 ) Balance at September 30, 2015 $ 286,462 $ (287,254 ) $ 34 $ (758 ) The following table presents additional information about Level 3 servicing assets and liabilities recorded at fair value for the three months ended September 30, 2016 (in thousands). Servicing Assets Servicing Liabilities Fair Value at January 1, 2016 13,605 484 Additions 7,092 9 Less: Changes in fair value (8,423 ) (239 ) Fair Value at September 30, 2016 12,274 254 Servicing Assets Servicing Liabilities Amortized Cost at January 1, 2015 3,116 624 Adjustment to Adopt Fair Value Measurement 399 (29 ) Fair Value at January 1, 2015 3,515 595 Additions 10,204 246 Less: Transfers to PMI (249 ) — Less: Changes in fair value (3,049 ) (291 ) Fair Value at September 30, 2015 10,421 550 Servicing Assets Servicing Liabilities Fair Value at July 1, 2016 13,798 324 Additions 1,342 — Less: Changes in fair value (2,866 ) (70 ) Fair Value at September 30, 2016 12,274 254 Servicing Assets Servicing Liabilities Fair Value at July 1, 2015 7,634 606 Additions 4,367 53 Less: Transfers to PMI — — Less: Changes in fair value (1,580 ) (109 ) Fair Value at September 30, 2015 10,421 550 Significant Recurring Level 3 Fair Value Asset and Liability Input Sensitivity Key economic assumptions and the sensitivity of the current fair value to immediate changes in those assumptions at September 30, 2016 for Borrower Loans, Loans Held for Sale and Notes funded are presented in the following table (in thousands): Borrower Loans and Loans Held for Sale Notes Discount rate assumption: 7.59 % * 7.59 % * Resulting fair value from: 100 basis point increase $ 311,509 $ 310,760 200 basis point increase 308,426 307,680 Resulting fair value from: 100 basis point decrease $ 317,914 $ 317,161 200 basis point decrease 321,244 320,488 Default rate assumption: 11.50 % * 11.50 % * Resulting fair value from: 100 basis point increase $ 311,358 $ 310,601 200 basis point increase 308,142 307,380 Resulting fair value from: 100 basis point decrease $ 318,009 $ 317,264 200 basis point decrease 321,389 320,651 * Represents weighted average assumptions considering all credit grades. Servicing Asset and Liability Fair Value Input Sensitivity: The following table presents the estimated impact on Prosper Funding’s estimated fair value of servicing assets and liabilities, calculated using different market servicing rates and different default rates as of September 30, 2016 (in thousands, except percentages). Servicing Assets Servicing Liabilities Market servicing rate assumptions 0.625 % 0.625 % Resulting fair value from: Market servicing rate increase to 0.65% 11,509 279 Market servicing rate decrease to 0.60% 13,311 228 Weighted average prepayment assumptions 21.06 % 21.06 % Resulting fair value from: Applying a 1.1 multiplier to prepayment rate 12,043 249 Applying a 0.9 multiplier to prepayment rate 12,507 258 Weighted average default assumptions 11.64 % 11.64 % Resulting fair value from: Applying a 1.1 multiplier to default rate 12,068 253 Applying a 0.9 multiplier to default rate 12,484 254 These sensitivities are hypothetical and should be evaluated with care. The effect on fair value of a 10% variation in assumptions generally cannot be determined because the relationship of the change in assumptions to the fair value may not be linear. Additionally, the impact of a variation in a particular assumption on the fair value is calculated while holding other assumptions constant. In reality, changes in one factor may lead to changes in other factors, which could impact the above hypothetical effects. |