$2.$ The following information is given concerning a pure yield pick$-$up swap: You currently hold a $20-$year, Aa $12\%$ coupon bond priced to yield $9\mathrm{.}5\%.$ As a swap candidate, you are considering a $20-$year, Aa $14\%$ coupon bond priced to yield $10\mathrm{.}00.$ Assume a reinvestment rate of $11\%,$ semiannual compounding, and a one$-$year workout period.

Current Bond Candidate Bond

Dollar Investment $$1222\mathrm{.}04$ $$1343\mathrm{.}18$

Coupon $110\mathrm{.}00140\mathrm{.}00$

i on One Coupon $3\mathrm{.}3?$

Principal Value at Year End $1218\mathrm{.}04?$

Total Accrued $1341\mathrm{.}34?$

Realized Compound Yield $9\mathrm{.}5351\%?$