Chapter 15, Problem 3TY

1. We want to examine the comparative statics of the Black Scholes model. Complete the following table using the Excel model from class or another of your choice. Provide the call premium and the put premium for each scenario. Underlier Risk-free Scenario price rate Volatility Time to expiration Strike Call premium Put premium Baseline $50 5% 25% 1 year $55 Higher strike $50 5% 25% 1 year $60 Higher volatility $50 5% 40% 1 year $55 Higher risk free $50 8% 25% 1 year $55 More time $50 5% 25% 2 years $55 2. Look at the baseline scenario. a. What is the probability that the call is exercised in the baseline scenario? b. What is the probability that the put is exercised? c. Explain why the probabilities sum to 1.

Some people say that since inflation can be reduced in the long run without an increase in unemployment, we should reduce inflation to zero. Others believe that a steady rate of inflation at, say, 3 percent, should be our goal. What are the pros and cons of these two arguments? What, in your opinion, are good long-run goals for reducing inflation and unemployment?

Explain in words how investment multiplier and the interest sensitivity of aggregate demand affect the slope of the IS curve. Explain in words how and why the income and interest sensitivities of the demand for real balances affect the slope of the LM curve. According to the IS–LM model, what happens to the interest rate, income, consumption, and investment under the following circumstances?a. The central bank increases the money supply.b. The government increases government purchases.c. The government increases taxes.