$1.$ Caleb buys a$($n$)10\mathrm{.}97\%$ corporate bond with a current yield of $7\mathrm{.}34\%$When he sells the bond one year later, the current yield on the bond is $6\mathrm{.}06\%$How much did Caleb make on this investment? The amount Caleb made on this investment is $($to the nearest cent$)$

$2.$ Assume you just paid $$1,264$ for a convertible bond that carries a$($n$)7\mathrm{.}58\%$ coupon and has $20$ years to maturity. The bond can be converted into $24$ shares of stock, which are now trading at $$50$ a shareFind the bond investment value of this issue, given that comparable nonconvertible bonds are currently selling to yield $8\mathrm{.}98\%$ The bond investment value of this issue is $($ Round to the nearest cent$)$

$3.$Assume that you pay $$921\mathrm{.}48$ for a long$-$term bond that carries a coupon of $9\mathrm{.}5\%$Over the course of the next $12$ months, interest rates drop sharplyAs a result, you sell the bond at a price of $$1,016\mathrm{.}07$ a$.$ Find the current yield that existed on this bond at the beginning of the yearWhat was it by the end of the one$-$year holding period? b$.$ Determine the holding period return on this investment$($HintSee Chapter $4$ for the HPR formula$)$ a $.$ The current yield that existed on this bond at the beginning of the year is $\%($ Round to two decimal places