$1.$ In the past, Farmer Felix bought a $$1,000$ face value, $5\mathrm{.}0$ percent coupon bond $($interest paid semiannually$)$ at $$1,000.$ The bond now has $5$ years until it matures and interest rates are currently $4\mathrm{.}0$ percent. What is the current value of the bond?

$2.$ Adama's Fish Market Inc. issued a bond that will mature in $15$ years. The bond has a face value of $$1,000$ and an $7\%$ coupon rate, paid semiannually. The price of the bond is currently $$1,165.$ The bond is callable in $5$ years at a call price of $$1,050.$

What is the bond's yield to maturity?

What is the bond's yield to call?

Group of answer choices

$3\mathrm{.}90\%$ and $3\mathrm{.}72\%$

$6\mathrm{.}27\%$ and $5\mathrm{.}81\%$

$5\mathrm{.}79\%$ and $6\mathrm{.}14\%$

$5\mathrm{.}56\%$ and $4\mathrm{.}62\%$

$5\mathrm{.}38\%$ and $4\mathrm{.}21\%$