Suppose you write the following put option $(1$ option, not $1$ contract containing $100$ options$).$ What

is the payoff and profit at expiration if the stock price is $$45?$

Put

a$.$ payoff is $0$ ; profit is $-4\mathrm{.}23$

b$.$ payoff is $0$ ; profit is $0$

c$.$ payoff is $-5\mathrm{.}00$ ; profit is $-0\mathrm{.}77$

d$.$ payoff is $-5\mathrm{.}00$ ; profit is $0\mathrm{.}77$

e$.$ payoff is $0\mathrm{.}00$ ; profit is $4\mathrm{.}23$