A stock is trading at $42 and its volatility is 35%. You own a put option with
Question:
A stock is trading at $42 and its volatility is 35%. You own a put option with a strike price of $45 and one year to maturity. The risk-free rate is 2% per annum compounded continuously.
(a) How many stocks should you buy or short so that a small change in stock price has no effect on your portfolio (put and the position in stocks)?
(b) Given the portfolio you chose in (a), if stock price increases by a large amount (such as $42 to $50), would the value of the portfolio stay the same, increase or decrease?
(c) Given the portfolio you chose in (a), if stock price decreases by a large amount (such as $42 to $35), would the value of the portfolio stay the same, increase or decrease?
Fundamentals of Investments Valuation and Management
ISBN: 978-0077283292
5th edition
Authors: Bradford D. Jordan, Thomas W. Miller