At what nominal annual rate of interest will a $$196,000$ variable$-$rate mortgage be amortized by monthly payments of $$666\mathrm{.}87$ over $20$ years? Assume interest is compounded semi$-$annually.

Select one:

a$.$

$1\mathrm{.}99\%$

b$.$

$1\mathrm{.}95\%$

c$.$

$2\mathrm{.}87\%$

d$.$

$2\mathrm{.}74\%$

e$.$

$2\mathrm{.}54\%$