The following information is given about options on the stock of a certain company.

S₀ = 23 X = 20

r_c = 0.09 T = 0.5

s² = 0.15

No dividends are expected.

1)What is the value of the call option based on the Black and sholes Merton model?

2) If the Stock is distributing dividends of $0.85 with 12 days ex-dividends day what is the value of the call?

3) what is the Delta of the option, what about the Gamma ?

4) if the Volatility increased to 0.45 what is the value of the call?