Recently, April purchased a bond for $$23,150$ that pays a $8\%$ coupon, payable quarterly. The bond matures in $6$ years at a par value of $$25,000.$ She can reinvest the quarterly coupon at $3\mathrm{.}5\%$ compounded annually. Her salary is $$73,000$ per year. Her marginal tax rate is $40\%,$ which is also the applicable tax rate on interest income. The tax rate on dividend income is $22\%$ and the tax rate on capital gain income is $20\%.$ HINT: The first $2$ questions below are before$-$tax, the last one is after$-$tax.

$1.$ What is her annualized HPR before$-$tax if she does not reinvest her investment income?

$2.$ What is her annualized HPR before$-$tax if she reinvests her investment income?

$3.$ What is her annualized HPR after$-$tax if she reinvests her investment income and taxes are paid annually?