An investor purchased a $20-$year $3\%$ Treasury note at the issue price of $106\mathrm{.}20$ on June $1,2021.$ As the government response to COVID$-19$ pandemic continued, investors became worried about the U$.$S$.$ government's ability to service its growing debt burden and sold large quantities of Treasury securities$.$ The decreased demand pushed Treasury prices down. On June $1,2022,$ exactly one year after buying the T$-$note, the investor sold it for $88\mathrm{.}53$ after receiving twocoupon payments. What. was the yield to maturity when the investor purchased the note? What was the investor's realized return, stated as an APR, when she sold the note? LO$2$

The yield to maturity at purchase is $2\mathrm{.}60\%,$ while the rate of return at sale is $-14\mathrm{.}44\%.$

$$ The yield to maturity at purchase is $3\mathrm{.}30\%,$ while the rate of return at sale is

$16\mathrm{.}03\%.$

The yield to maturity at purchase is $-2\mathrm{.}3\%,$ while the rate of return at sale is $18\mathrm{.}6\%.$

$$ The yield to maturity at purchase is $5\mathrm{.}11\%,$ while the rate of return at sale is $-13\mathrm{.}91\%.$