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Assets and Liabilities Measured at Fair Value
12 Months Ended
Dec. 31, 2019
Fair Value Disclosures [Abstract]  
Assets and Liabilities Measured at Fair Value Assets and Liabilities Measured at Fair Value

For assets and liabilities required to be reported at fair value, GAAP provides a hierarchy that prioritizes inputs to valuation techniques used to measure fair value into three broad levels. Level 1 inputs are quoted market prices in active markets for identical assets or liabilities that the reporting entity has the ability to access at the measurement date. Level 2 inputs, other than quoted market prices included within Level 1, are observable for the asset or liability, either directly or indirectly. Level 3 inputs are unobservable inputs for the asset or liability. The Company does not have any recurring assets or liabilities measured at fair value that would be considered Level 3.

The Company’s assets and liabilities measured at fair value are as follows:
 
 
December 31, 2019
 
December 31, 2018
Description
 
Total
 
Quoted prices
in active
markets
for identical
assets
(Level 1)
 
Significant
other
observable
inputs
(Level 2)
 
Total
 
Quoted prices
in active
markets
for identical
assets
(Level 1)
 
Significant
other
observable
inputs
(Level 2)
 
 
amounts in thousands
Cash equivalents
 
$
54,552

 
54,552

 

 
66,348

 
66,348

 

Equity securities
 
$
2,600,008

 
2,600,008

 

 
1,529,901

 
1,529,901

 

Investment in Liberty Broadband
 
$
5,367,242

 
5,367,242

 

 
3,074,373

 
3,074,373

 

Derivative instrument liability
 
$
71,305

 

 
71,305

 
20,340

 

 
20,340


    
On June 6, 2017, Qurate Retail purchased 450,000 LendingTree shares and executed a 2‑year variable forward with respect to 642,850 LendingTree shares. The variable forward was executed at the LendingTree closing price on June 6, 2017 of $170.70 per share and has a floor price of $128.03 per share and a cap price of $211.67 per share. The fair value of the variable forward was derived from a Black-Scholes-Merton model using observable market data as the significant inputs. On April 29, 2019, the Company terminated its variable forward and entered into a new 3-year variable forward with respect to 642,850 LendingTree shares. The variable forward was executed at the LendingTree closing price on April 29, 2019 of $376.35 per share and has a floor price of zero and has a cap price of $254.00 per share. The fair value of the variable forward was derived from a Black-Scholes-Merton model using observable market data as the significant inputs.

Realized and Unrealized Gains (Losses) on Financial Instruments, net

Realized and unrealized gains (losses) on financial instruments, net are comprised of changes in the fair value of the following:
 
 
Years ended December 31,
 
 
2019
 
2018
 
2017
 
 
amounts in thousands
Equity securities
 
$
1,074,736

 
(274,393
)
 
258,629

Investment in Liberty Broadband
 
2,292,869

 
(560,413
)
 
473,342

Derivative instruments
 
(50,965
)
 
75,970

 
(94,807
)
 
 
$
3,316,640

 
(758,836
)
 
637,164