The current stock price is 100. It pays 6% continuous dividend yield. Its volatility is 30%. The risk free interest rate is 3% flat.

Use the closed form results from BSM theory to compute the price, delta and theta (round your numerical results to 4 decimal places) for:

a) a 10 year European style call option with strike 150;

b) a perpetual American style call option with strike 150;

c) (Greek "phi") for a derivative f is defined as its sensitivity to the changes of dividend yield q:

= f / q

Compute for the above two options. Please present both the analytical expressions and the numerical results.