Rebecca is interested in purchasing a European call on a hot new stock, Up. Inc. The call has a strike price of $98.00 and expires in 95 days. The current price of Up stock is $117.67, and the stock has a standard deviation of 41% per year. The risk-free interest rate is 6.88% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note: Make sure to round all intermediate calculations to at least five decimal places.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Rebecca is interested in purchasing a European call on a hot new stock, Up. Inc. The call has a strike price of $98.00 and expires in 95 days. The current price
of Up stock is $117.67, and the stock has a standard deviation of 41% per year. The risk-free interest rate is 6.88% per year. Up stock pays no dividends. Use
a 365-day year.
a. Using the Black-Scholes formula, compute the price of the call.
b. Use put-call parity to compute the price of the put with the same strike and expiration date.
(Note: Make sure to round all intermediate calculations to at least five decimal places.)
Transcribed Image Text:Rebecca is interested in purchasing a European call on a hot new stock, Up. Inc. The call has a strike price of $98.00 and expires in 95 days. The current price of Up stock is $117.67, and the stock has a standard deviation of 41% per year. The risk-free interest rate is 6.88% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note: Make sure to round all intermediate calculations to at least five decimal places.)
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