We plan to have $$1,500,000$ in $35$ years. We will make quarterly deposits of $$1,000$ at the end of every $3$ months for $25$ years and then allow the money to accumulate, without more deposits, at $8\%$ compounded annually for the last $10$ years. What monthly compounded nominal rate of return will we have to earn over the $25$ years that we will be making the quarterly deposits?

a$.$

$13\mathrm{.}482\%$

b$.$

$12\mathrm{.}641\%$

c$.$

$11\mathrm{.}722\%$

d$.$

$10\mathrm{.}939\%$

e$.$

$12\mathrm{.}774\%$