Assume we have a $$500,000$ mortgage at a $3\mathrm{.}5\%$ original interest rate, $30-$year term, and monthly payments. The interest rate can be adjusted at the end of each year, and we assume the rate increases by $0\mathrm{.}25\%$ after the first year. Assuming the mortgage is paid off at the end of year $4,$ what is its effective annual yield rate?

$3\mathrm{.}51\%$

None of the given answers

$3\mathrm{.}86\%$

$3\mathrm{.}75\%$

$3\mathrm{.}57\%$