S $=51$ X $=50$ r $=2\%$ T $=3$ months$$ Sigma $=\mathrm{.}15$

N$($d$\_1)=\mathrm{.}64$ and N$($d$\_2)=\mathrm{.}62$

If the price of the underlying asset, S$,$ decreases by $$1$

a$.$

the price of the put option increases by $$0\mathrm{.}64$

b$.$

the price of the call option decreases by $$0\mathrm{.}64$

c$.$

the price of the put option increases by $$0\mathrm{.}36$

d$.$

both b and c

e$.$

the option prices do not change because there$$s only three months to expiration