Let us consider a European option on a stock that does not yield any dividend. Assume that that the price of this option is described by the Black-Scholes model with a drift of 10% per year, volatility of 40% per year. The current price of the stock is So = £16. The risk-free interest rate on the market is 4% per year. 1) a) Calculate the price of a call option with strike price of £18 and a maturity T of one year. b) Using the put-call parity calculate the price of the corresponding put op- tion. 2) Imagine that in 6 months from now, the stock costs £16.4. Is it worth to wait 6 months before buying the call option above and investing in a saving account what we would have paid for buying the call at the initial time? Would this still apply if the stock costed £19.2 in 6 months from now?
Let us consider a European option on a stock that does not yield any dividend. Assume that that the price of this option is described by the Black-Scholes model with a drift of 10% per year, volatility of 40% per year. The current price of the stock is So = £16. The risk-free interest rate on the market is 4% per year. 1) a) Calculate the price of a call option with strike price of £18 and a maturity T of one year. b) Using the put-call parity calculate the price of the corresponding put op- tion. 2) Imagine that in 6 months from now, the stock costs £16.4. Is it worth to wait 6 months before buying the call option above and investing in a saving account what we would have paid for buying the call at the initial time? Would this still apply if the stock costed £19.2 in 6 months from now?
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
Section: Chapter Questions
Problem 1PS
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Transcribed Image Text:6. Let us consider a European option on a stock that does not yield any dividend.
Assume that that the price of this option is described by the Black-Scholes model
with a drift of 10% per year, volatility of 40% per year. The current price of the
stock is S, = £16. The risk-free interest rate on the market is 4% per year.
1) a) Calculate the price of a call option with strike price of £18 and a maturity
T of one year.
b) Using the put-call parity calculate the price of the corresponding put op-
tion.
2) Imagine that in 6 months from now, the stock costs £16.4. Is it worth to wait 6
months before buying the call option above and investing in a saving account
what we would have paid for buying the call at the initial time? Would this
still apply if the stock costed £19.2 in 6 months from now?
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