Use the following information to answer Questions $1$ to $13$:

Current market price of ABC stock $=$$$77$

ABC stock price after $30$ days $=$$$80$

ABC stock price after $45$ days $=$$$95$

ABC stock price after $60$ days $=$$$80$

ABC stock price after $75$ days $=$$$85$

ABC stock price after $90$ days $=$$$70$

Current price of European call on ABC stock with exercise price of $$93$ with $90$ days to expiration $=$ $$2$

Current price of European put on ABC stock with exercise price of $$82$ with $60$ days to expiration $=$ $$6$

Risk$-$free rate $=5\%$

The payoff to the put option holder on Day $30$ is closest to:

A$.$ Zero

B$.$ $$2$

C$.-$$$2$

The payoff to the call option holder on Day $90$ is closest to:

A$.$ Zero

B$.$ $$23$

C$.$ $$21$

The payoff to the put option writer on Day $60$ is closest to:

A$.$ Zero

B$.-$$$2$

C$.$ $$4$

The payoff to the call option writer on Day $90$ is closest to:

A$.$ Zero

B$.$ $$23$

C$.-$$$21$

The put option holder's profit on his position is closest to:

A$.-$$$6$

B$.$ $$2$

C$.-$$$4$

The call option holder's profit on his overall position is closest to:

A$.$ Zero

B$.$ $$21$

C$.-$$$2$

At current prices, the call option is most likely:

A$.$ In$-$the$-$money

B$.$ At$-$the$-$money

C$.$ Out$-$of$-$the$-$money

At $t=30,$ the put option is most likely:

A$.$ In$-$the$-$money

B$.$ At$-$the$-$money

C$.$ Out$-$of$-$the$-$money

Most of the call option premium is most likely composed of:

A$.$ Intrinsic value

B$.$ Time value

C$.$ Cannot be determined

Most of the put option premium is most likely composed of:

A$.$ Intrinsic value

B$.$ Time value

C$.$ Cannot be determined

The price of a European call option with an exercise price of $$82$ and $30$ days remaining expiration would be closest to:

A$.$ $$1\mathrm{.}33$

B$.$ $$4\mathrm{.}90$

C$.$ $$1\mathrm{.}03$

At $t=45,$ the minimum value of the call option is closest to:

A$.$ $$2\mathrm{.}56$

B$.$ $$2$

C$.$ $$0$

At $t=45,$ the minimum value of the put option is closest to:

A$.$ $$0$

B$.$ $$13$

C$.$ $$13\mathrm{.}16$