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Investments and Fair Value Measurements (Tables)
12 Months Ended
Dec. 31, 2020
Fair Value Disclosures [Abstract]  
Company's recurring financial assets and liabilities subject to fair value measurements
The Company’s financial assets and liabilities subject to fair value measurements were as follows:
Fair Value Measurements as of December 31, 2020
DescriptionTotalQuoted Prices in Active Markets for Identical Assets
(Level 1)

Significant Other Observable Inputs
(Level 2)


Significant Unobservable Inputs
(Level 3)
Assets:
Money market funds (1)
$255,294 $255,294 $— $— 
Commercial paper (1)
44,397 — 44,397 — 
Certificates of deposit (2)
2,111 — 2,111 — 
Money market funds securing legal bonds (2)
535 535 — — 
Investment securities at fair value
   Equity securities at fair value
   Marketable equity securities
21,155 21,155 — — 
   Mutual funds invested in debt securities23,226 23,226 — — 
         Total equity securities at fair value
44,381 44,381 — — 
    Debt securities available for sale
U.S. government securities
19,200 — 19,200 — 
Corporate securities
52,434 — 52,434 — 
U.S. government and federal agency
10,484 — 10,484 — 
Commercial paper
9,086 — 9,086 — 
Total debt securities available for sale
91,204 — 91,204 — 
Total investment securities at fair value
135,585 44,381 91,204 — 
Long-term investments
Long-term investment securities at fair value (3)
34,218 — — — 
Total$472,140 $300,210 $137,712 $— 
Liabilities:
Fair value of contingent liability$999 $— $— $999 
Total$999 $— $— $999 
_____________________________
(1)Amounts included in Cash and cash equivalents on the consolidated balance sheets, except for $10,374 that is included in current restricted assets and $1,907 that is included in non-current restricted assets.
(2)Amounts included in current restricted assets and non-current restricted assets on the consolidated balance sheets.
(3)In accordance with Subtopic 820-10, investments that are measured at fair value using the NAV practical expedient are not classified in the fair value hierarchy.
Fair Value Measurements as of December 31, 2019
DescriptionTotalQuoted Prices in Active Markets for Identical Assets
(Level 1)

Significant Other Observable Inputs
(Level 2)


Significant Unobservable Inputs
(Level 3)
Assets:
Money market funds (1)
$307,655 $307,655 $— $— 
Commercial paper (1)
47,328 — 47,328 — 
Certificates of deposit (2)
2,193 — 2,193 — 
Money market funds securing legal bonds (2)
535 535 — — 
Investment securities at fair value
Equity securities at fair value
   Marketable equity securities
23,819 23,819 — — 
   Mutual funds invested in debt securities22,377 22,377 — — 
         Total equity securities at fair value
46,196 46,196 — — 
Debt securities available for sale
U.S. government securities
14,660 — 14,660 — 
Corporate securities
54,413 — 54,413 — 
U.S. government and federal agency
6,816 — 6,816 — 
Commercial mortgage-backed securities
382 — 382 — 
Commercial paper
5,887 — 5,887 — 
Index-linked U.S. bonds
779 — 779 — 
Foreign fixed-income securities
508 — 508 — 
Total debt securities available for sale
83,445 — 83,445 — 
     Total investment securities at fair value129,641 46,196 83,445 — 
Long-term investments
Long-term investment securities at fair value (3)
45,781 — — — 
Total$533,133 $354,386 $132,966 $— 
Liabilities:
Fair value of contingent liability$3,147 $— $— $3,147 
Fair value of derivatives embedded within convertible debt4,999 — — 4,999 
Total
$8,146 $— $— $8,146 
_____________________________
(1)Amounts included in Cash and cash equivalents on the consolidated balance sheets, except for $4,423 that is included in current restricted assets and $3,160 that is included in non-current restricted assets.
(2)Amounts included in current restricted assets and non-current restricted assets on the consolidated balance sheets.
(3)In accordance with Subtopic 820-10, investments that are measured at fair value using the NAV practical expedient are not classified in the fair value hierarchy.
Unobservable inputs related to the valuations of the Level 3 liabilities
The unobservable inputs related to the valuations of the Level 3 assets and liabilities were as follows at December 31, 2020:
Quantitative Information about Level 3 Fair Value Measurements
Fair Value at
December 31,
2020
Valuation TechniqueUnobservable InputRange (Actual)
Fair value of contingent liability$999 Monte Carlo simulation modelEstimated fair value of the Douglas Elliman reporting unit$169,000 
Risk-free rate for a 2-year term
0.13 %
Leverage-adjusted equity volatility of peer firms78.57 %
The unobservable inputs related to the valuations of the Level 3 assets and liabilities were as follows at December 31, 2019:
Quantitative Information about Level 3 Fair Value Measurements
Fair Value at
December 31,
2019
Valuation TechniqueUnobservable InputRange (Actual)
Fair value of derivatives embedded within convertible debt$4,999 Discounted cash flowAssumed annual stock dividend%
Assumed annual cash dividend
$0.40/$0.20
Stock price$13.39 
Convertible trading price (as a percentage of par value)103.94 %
MaturityApril 15, 2020
Volatility36.94 %
Risk-free rateTerm structure of US Treasury Securities
Implied credit spread
1.0% - 3.0% (2.0%)
Fair value of contingent liability$3,147 Monte Carlo simulation modelEstimated fair value of the Douglas Elliman reporting unit$271,500 
Risk-free rate for a 3-year term
1.61 %
Leverage-adjusted equity volatility of peer firms35.56 %
Investment in real estate ventures subject to nonrecurring fair value measurements
The Company’s investment in real estate ventures subject to nonrecurring fair value measurements are as follows:
Fair Value Measurement Using:
Year Ended December 31,
2020
Quoted Prices in Active Markets for Identical Assets
(Level 1)

Significant Other Observable Inputs
(Level 2)


Significant Unobservable Inputs
(Level 3)
DescriptionImpairment ChargeTotal
Assets:
Investments in real estate ventures$16,513 $— $— $— $— 
Fair Value Measurement Using:
Year Ended December 31,
2019
Quoted Prices in Active Markets for Identical Assets
(Level 1)

Significant Other Observable Inputs
(Level 2)


Significant Unobservable Inputs
(Level 3)
DescriptionImpairment ChargeTotal
Assets:
Investments in real estate ventures$39,757 $18,335 $— $— $18,335