a. A stock selling for $25 today will, in a year, be worth either $35 or $20. If the interest rate is 8 %, what is the value today of a 1-year call option on the stock with exercise price $30? Use the simultaneous equation approach of section 17.2 to price the option. b. In a, compute the state prices qU and qD, and use these prices to calculate the value today of a 1-year put option on the stock with exercise price $30. Show that put-call parity holds. That is, using your answer from this problem and the previous problem, show that: Call price + x/(1+r) = Stock price today + Put price Show work/formulas in EXCEL!

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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a. A stock selling for $25 today will, in a year, be worth either $35 or $20. If the interest rate is 8
%, what is the value today of a 1-year call option on the stock with exercise price $30? Use the
simultaneous equation approach of section 17.2 to price the option.
b. In a, compute the state prices qU and qD, and use these prices to calculate the value today
of a 1-year put option on the stock with exercise price $30. Show that put-call parity holds.
That is, using your answer from this problem and the previous problem, show that: Call price +
x/(1+r) = Stock price today + Put price
Show work/formulas in EXCEL!
Transcribed Image Text:a. A stock selling for $25 today will, in a year, be worth either $35 or $20. If the interest rate is 8 %, what is the value today of a 1-year call option on the stock with exercise price $30? Use the simultaneous equation approach of section 17.2 to price the option. b. In a, compute the state prices qU and qD, and use these prices to calculate the value today of a 1-year put option on the stock with exercise price $30. Show that put-call parity holds. That is, using your answer from this problem and the previous problem, show that: Call price + x/(1+r) = Stock price today + Put price Show work/formulas in EXCEL!
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