On 12 August 2009 Bank of America (BAC) stock closed at $15.93. On the same date, a January 2010 call and a put on BAC with exercise price X = 16 traded at $2.25 and $2.37 respectively. Both options expire 15 January 2010. • Compute the implied volatility for each of the options. Assume that the annual, continuously-compounded, interest rate is r = 1.5% • How do the implied volatilities compare to the annualized historical volatility of BÁC returns over the last 5 years? And the last year? • Assume that put-call parity holds and that the call is priced correctly. What should be the price of the put? Please show your work in excel %3D

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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On 12 August 2009 Bank of America (BAC)
stock closed at $15.93. On the same date, a
January 2010 call and a put on BAC with
exercise price X = 16 traded at $2.25 and $2.37
respectively. Both options expire 15 January
2010. • Compute the implied volatility for
each of the options. Assume that the annual,
continuously-compounded, interest rate is r =
1.5% • How do the implied volatilities
compare to the annualized historical volatility
of BAC returns over the last 5 years? And the
last year? • Assume that put-call parity holds
and that the call is priced correctly. What
should be the price of the put?
Please show your work in excel
Transcribed Image Text:On 12 August 2009 Bank of America (BAC) stock closed at $15.93. On the same date, a January 2010 call and a put on BAC with exercise price X = 16 traded at $2.25 and $2.37 respectively. Both options expire 15 January 2010. • Compute the implied volatility for each of the options. Assume that the annual, continuously-compounded, interest rate is r = 1.5% • How do the implied volatilities compare to the annualized historical volatility of BAC returns over the last 5 years? And the last year? • Assume that put-call parity holds and that the call is priced correctly. What should be the price of the put? Please show your work in excel
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