You buy a share of stock, write a one$-$year call option with $x=$$$12,$ and buy a one$-$year put option with $x=$$$12.$ Your net outlay to extablish the entire portfolio is $$10\mathrm{.}5.$ What is the payoff of your porfolio? What must be the risk$-$free interest rate? The stock pays no dividends. $($Do not round intermediate calculations. Round "risk$-$free rate" to $2$ decimal places.$)$

A$)$ $$11,11\mathrm{.}21\%$

B$)$ $$11,13\mathrm{.}67\%$

C$)$ $$12,14\mathrm{.}29\%$

D$)$ $$12,15\mathrm{.}71\%$

Consider a bond paying a coupon rate of $20\%$ per year semiannually when the market interest rate is only $5\%$ per half$-$year. The bond has three years until maturity.

Find the bond's price today and six months from now after the next coupon is paid.

A$)$ $$1123,$$$1090$

$($B$)$ $$1254,$$$1216$

C$)$ $$910,$$$1156$

D$)$ $$1401,$$$1207$

What is the total rate of return on the bond above?

A$)2\%$

B$)7\%$

$($C$)5\%$

D$)8\%$

The current level of the S&P $500$ is $3,000.$ The dividend yield on the S&P $500$ is $2\%.$ The risk$-$free interest rate is $1\%.$ What should be the price of a one$-$year maturity futures contract? $($Do not round intermediate calculations.$)$

A$)2750$

$($B$)2970$

C$)3120$

D$)3570$