What’s On the Web? 24.1 Black-Scholes
Go to www.cfo.com and, under CFO.com Toolbox,
follow the "Stock Options Calculator" link, then the "Options
Calculator (Java)" link. There is a call and a put option on a stock that
expires in 30 days. The strike price is $50 and the current stock price is $51.20.
The standard deviation of the return on the stock is 60 percent per year, and
the risk-free rate is 4.8 percent per year, compounded continuously. What is
the price of the call and the put? What are the deltas? 24.2 Black-Scholes
Go to www.cboe.com, click on the "Trading
Tools" tab, then the "Option Calculator" link. A stock is currently
priced at $93 per share, and its return has a standard deviation of 48 percent
per year. Options are available with an exercise price of $90, and the risk-free
rate is 5.2 percent per year, compounded continuously. What is the price of
the call and the put that expire next month? What are the deltas? How do your
answers change for an exercise price of $95? 24.3 Implied
Standard Deviation Go to www.numa.com
and look under the section titled "Options" and follow the calculator
link. You purchased a call option for $10.50 that matures in 51 days. The strike
price is $100, and the underlying stock has a price of $102. If the risk-free
rate is 4.8 percent, compounded continuously, what is the implied return standard
deviation of the stock? Using this implied standard deviation, what is the price
of a put option with the same characteristics? 24.4 Black-Scholes
with Dividends Recalculate the first two problems assuming a dividend yield
of 2 percent per year. How does this change your answers? Can you explain why
dividends have the effect they do? |