You have collected the following information from the Wall Street Journal

$0\mathrm{.}5-$yr T$-$note trading at par with coupon rate $3\mathrm{.}38\%$

$1-$yr T$-$note trading at par with ytm $=4\mathrm{.}98\%$ p$.$a$.$

$1\mathrm{.}5-$yr T$-$note with coupon rate $5\%,$ trading with ytm $=5\mathrm{.}96\%$ p$.$a$.$

a$)$ Compute the following zero yields from the above information

Please report per annum semi$-$annual compounding yields.

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Maturity

Zero yields

$0\mathrm{.}5$

$1$

$1\mathrm{.}5$

b$)$ From the above calculation, what is the price of a $1\mathrm{.}5-$yr T$-$note, face value $$100$

paying a coupon rate of $10\%$ p$.$a$.$

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c$)$ What is the forward interest rate for a $1-$yr loan starting $6$ months from now $?$

$($This is the $6$x$18$ rate.$)$ Please report a per annum semi$-$annual compounding rate.

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d$)$ Microsoft is currently selling for $$29/$share$.$ What is its $1-$yr forward price?

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