The common stock of the C$.$A$.$L$.$L$.$ Corporation has been trading in a narrow range around $$95$ per share for months, and you believe it

is going to stay in that range for the next $6$ months. The price of a $6-$month put option with an exercise price of $$95$ is $$10\mathrm{.}90.$

Required:

a$.$ If the semiannual risk$-$free interest rate is $3\%,$ what must be the price of a $6-$month call option on C$.$A$.$L$.$L$.$ stock at an exercise price

of $$95$ if it is at the money? $($The stock pays no dividends.$)$

b$.$ What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future movement?

What is the most money you can make on this position? How far can the stock price move in either direction before you lose

money?

c$.$ How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at

expiration? What is the net cost of establishing that position now?

If the semiannual risk$-$free interest rate is $3\%,$ what must be the price of a $6-$month call option on C$.$A$.$L$.$L$.$ stock at an

exercise price of $$50$ if it is at the money? $($The stock pays no dividends.$)$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

Required $B$

What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future

movement? What is the most money you can make on this position? How far can the stock price move in either direction

before you lose money?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the

stock at expiration? What is the net cost of establishing that position now?

Note: Enter all values as positive values. Do not round intermediate calculations. Round your answers to $2$ decimal places.

Leave no cells blank $-$ be certain to enter $"0"$ wherever required.