Consider the following bond for questions $58$:

$$ Exactly $10$ years to maturity

$7\mathrm{.}5\%$ yield to maturity

$5\%$ coupon, paid semi$-$annually

$$ $$100$ par value

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Now suppose that, instead of the yield dropping in exactly $7$ years, it decreased to $5\%$ immediately after you purchased the bond. Continue to assume you will sell the bond in exactly $7$ years and that you reinvest coupons at the prevailing yield. What is your annualized rate of return in this scenario?