The common stock of the C$.$A$.$L$.$L$.$ Corporation has been trading in a narrow range around $$125$ per share for months, and you belleve It is going to stay in that range for the next $6$ months. The price of a $6-$month put option with an exercise price of $$125$ is $$10\mathrm{.}50.$

Q$.$ If the risk$-$free interest rate is $5\%$ per year, what must be the price of a $6-$month call option on C$.$A$.$L$.$ stock at an exercise price of $$125$ if It is at the money? $($The stock pays no dividends$)($Do not round Intermedlate calculatlons. Round your answer to $2$ decimal places.$)$

Price of a $6-$month call option

b$-1.$ What would be a simple options strategy using a put and a call to exploit your conviction about the stock price's future movement?

Strategy

b$-2.$ What is the most money you can make on this position? $($Do not round intermedlate calculatlons. Round your answer to $2$ decimel places.$)$

Amount

b$-3.$ How far can the stock price move in elther direction before you lose money? $($Do not round intermedlate calculatlons. Round your answer to $2$ decimal places.$)$

Stock price

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? $($Enter the absolute value, Do not round intermedlate colculations. Round your answers to $2$ decimal places, Leave no cells blank $-$ be certaln to enter $"0"$ wherever required,$)$

$\backslash$table$[[$Position$,$Immediate CF$],[$Call $($long$),],[$Put $($short$),],[$Lending position,$],[$Total$,]]$