A stock is currently trading at a price of one hundred dollars. It gives a continuous dividend yield of six percent. It has a 30 percent volatility. The risk-free rate is set at 3 percent (flat). Calculate the price, delta and theta by using BSM theory (round results to 4 decimal places) for a) a ten-year European call option with strike 150 b) a perpetual American call option with strike 150 c) phi() for a derivative f is defined as its sensitivity to the changes of dividend yield q:

Compute phi() for the above two options(European and American). Give both the analytical expressions and the numerical results.

of $ = dq =