1. S₀ = 100, K = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1. European call. What is the price in dollars today? xxxx.
2. S₀ = 100, K = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1. European put. What is the price in dollars today? xxxx.
3. S₀ = 100, K = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1. American call. What is the price in dollars today? xxxx.
4. S₀ = 100, K = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1. American put. What is the price in dollars today? xxxx.

   For the case of call options, and S₀ = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1, (giving all answers to four decimal places)

5. What is the Early exercise premium when K = 100? xxxx
6. What is the Early exercise premium when K = 125? xxxx
7. What is the Early exercise premium when K = 75? xxxx
8. What is the Early exercise premium when K = 60? xxxx
9. In the case that S₀ = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1, and for an American call option with strike K = 60, what is the price in dollars today? xxxx
10. In the case that S₀ = 100, r = 0.07, q = 0.05, sigma = 0.3, T = 1, and for an American call option with strike K = 60, at what time would a holder of the option optimally exercise? Fill in your answer in one or two sentences maximum.

All the questions above set the dividend yield to q = 0.05. Now I want you to change the dividend yield to q = 0.10. Now I am asking you to answer the questions corresponding to questions E, F, G and H above.

K. What is the Early exercise premium when the dividend yield q = 0.10 and K = 100? xxxx

L. What is the Early exercise premium when the dividend yield q = 0.10 and K = 125? xxxx

M. What is the Early exercise premium when the dividend yield q = 0.10 and K = 75? xxxx

N. What is the Early exercise premium when the dividend yield q = 0.10 and K = 60? xxxx

Now set the dividend yield q = 0.10 and the strike K = 75.

O. For the case of the European call, q = 0.10 and K = 75, what is the Delta (position in stock to make portfolio of the stock and a short position in one option riskless).

P. For the case of the American call, q = 0.10 and K = 75, what is the Delta (position in stock to make portfolio of the stock and a short position in one option riskless).