(2)   Stock-Based Compensation

The Company has granted to certain of its directors, employees and employees of its subsidiaries, restricted stock (“RSAs”), restricted stock units (“RSUs”) and options to purchase shares of the Company’s common stock (collectively, "Awards"). The Company measures the cost of employee services received in exchange for an equity classified Award (such as stock options and restricted stock) based on the grant-date fair value (“GDFV”) of the Award, and recognizes that cost over the period during which the employee is required to provide service (usually the vesting period of the Award). The Company measures the cost of employee services received in exchange for a liability classified Award based on the current fair value of the Award, and remeasures the fair value of the Award at each reporting date.

Included in selling, general and administrative expenses in the accompanying condensed consolidated statements of operations are $19 million and $16 million of stock-based compensation during the three months ended June 30, 2021 and 2020, respectively, and $35 million and $27 million of stock-based compensation during the six months ended June 30, 2021 and 2020, respectively.

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The following table presents the number and weighted average GDFV of options granted by the Company during the six months ended June 30, 2021:

During the six months ended June 30, 2021, Qurate Retail granted to employees and directors 4.7 million RSUs of QRTEA, which RSUs have a GDFV of $12.93 per share and generally vest annually over four years. In connection with our Chairman’s employment agreement, during the six months ended June 30, 2021, Qurate Retail granted 229 thousand performance-based RSUs of QRTEA to our Chairman. The Series A RSUs had a GDFV of $12.90 per share at the time they were granted and will cliff vest one year from the month of grant, subject to the satisfaction of certain performance objectives. As a result of the Letter Agreement discussed in Note 8, during the six months ended June 30, 2021, Qurate Retail granted 1.1 million time-based RSAs of Series B Qurate Retail common stock (“QRTEB”) to our Chairman, which RSAs have a GDFV of $13.65 per share and vest in two equal tranches on December 10, 2024 and June 3, 2026, subject to earlier vesting under certain circumstances.  During the six months ended June 30, 2021, Qurate Retail also granted 423 thousand performance-based RSUs and 423 thousand time-based RSUs of QRTEA to our chief executive officer (“CEO”).  Both the performance-based and time-based Series A RSUs had a GDFV of $12.90 per share at the time they were granted. The time-based RSUs vest on December 10, 2021, and the performance-based RSUs will cliff vest one year from the month of grant, subject to the satisfaction of certain performance objectives. Performance objectives, which are subjective, are considered in determining the timing and amount of compensation expense recognized. When the satisfaction of the performance objectives becomes probable, the Company records compensation expense. The probability of satisfying the performance objectives is assessed at the end of each reporting period.

The Company has calculated the GDFV for all of its equity classified Awards and any subsequent remeasurement of its liability classified Awards using the Black-Scholes-Merton Model. The Company estimates the expected term of the Awards based on historical exercise and forfeiture data. The volatility used in the calculation for Awards is based on the historical volatility of Qurate Retail's stock and the implied volatility of publicly traded Qurate Retail options. The Company uses a zero dividend rate and the risk-free rate for Treasury Bonds with a term similar to that of the subject options.

Qurate Retail—Outstanding Awards

The following tables present the number and weighted average exercise price ("WAEP") of the Awards to purchase Qurate Retail common stock granted to certain officers, employees and directors of the Company, as well as the weighted average remaining life and aggregate intrinsic value of the Awards.

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As of June 30, 2021, Qurate Retail had 13.0 million QRTEA RSUs and 1.1 million QRTEB RSAs outstanding with a weighted average GDFV of $9.77 and $13.65 per share, respectively.

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As of June 30, 2021, the total unrecognized compensation cost related to unvested Awards was approximately $139 million. Such amount will be recognized in the Company's consolidated statements of operations over a weighted average period of approximately 2.3 years.

As of June 30, 2021, Qurate Retail reserved for issuance upon exercise of outstanding stock options approximately 37.0 million shares of QRTEA and 1.9 million shares of QRTEB common stock.