A bond trader purchased zero$-$coupon U$.$S$.$ Treasury bond $5\mathrm{.}00$ years ago for $$630\mathrm{.}00.$ Today, $5\mathrm{.}00$ years later, the bond has $5\mathrm{.}00$ years until maturity and is trading at a yield to maturity of $3\mathrm{.}38\%.$ If the trader sells the bond today, what annual return did she realize?

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Answer format: Percentage Round to: $2$ decimal places $($Example: $9\mathrm{.}24\%,\%$ sign required. Will accept decimat format rounded to $4$ decimal places $($ex: $0\mathrm{.}0924))$

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#$10$

Cinqua Terra Incorporated issued $20-$year bonds three years ago with a coupon rate of $6\mathrm{.}00\%$ APR. The bonds pay semi$-$annual coupons, have a face value of $$1,000\mathrm{.}00$ each and were issued at par value. Cinqua Terra bonds currently trade at $$1,075\mathrm{.}00.$ The bonds may be called in exactly $3$ years. If the bonds are called, Cinqua Terra will pay the investor the current interest payment plus the face value. Also, Cinqua Terra will pay one additional $6-$month coupon as a premium for the call.

What is the yield to call $($as an APR$)$ for holding the bond?

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Answer format: Percentage Round to: $0$ decimal places $($Example: $9\%,\%$ sign required. Will accept decimal format rounded to $2$ decimal places $($ex: $0\mathrm{.}09))$

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