The common stock of the P$.$U$.$T$.$T$.$ Corporation has been trading in a narrow price range for the past month, but you

are convinced it is going to break far out of that range in the next $6$ months. You do not know whether it will go up

or down, however. The current price of the stock is $$160$ per share, and the price of a $6$ month call option at an

exercise price of $$160$ is $$6\mathrm{.}73.$

Required:

a$.$ If the semiannual risk$-$free interest rate is $3\%,$ what must be the price of a $6-$month put option on P$.$U$.$T$.$T$.$ stock at

an exercise price of $$160?($The stock pays no dividends.$)$

b$.$ What would be a simple options strategy to exploit your conviction about the stock price's future movements?

How far would it have to move in either direction for you to make a profit on your initial investment?

Complete this question by entering your answers in the tabs below.

Required B

If the semiannual risk$-$free interest rate is $3\%,$ what must be the price of a $6-$month put option on P$.$U$.$T$.$T$.$ stock at an e$)$

price of $$160?($The stock pays no dividends.$)$

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

Price of a six$-$month put option on P$.$U$.$T$.$T$.$ stock

The common stock of the P$.$U$.$T$.$T$.$ Corporation has been trading in a narrow price range for the past month, but you

are convinced it is going to break far out of that range in the next $6$ months. You do not know whether it will go up

or down, however. The current price of the stock is $$160$ per share, and the price of a $6$ month call option at an

exercise price of $$160$ is $$6\mathrm{.}73.$

Required:

a$.$ If the semiannual risk$-$free interest rate is $3\%,$ what must be the price of a $6-$month put option on P$.$U$.$T$.$T$.$ stock at

an exercise price of $$160?($The stock pays no dividends.$)$

b$.$ What would be a simple options strategy to exploit your conviction about the stock price's future movements?

How far would it have to move in either direction for you to make a profit on your initial investment?

Complete this question by entering your answers in the tabs below.

What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far n

it have to move in either direction for you to make a profit on your initial investment?

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