TBTF Bank makes a $3$ year interest only loan to AFC Inc of $$2,350,000\mathrm{.}00.$ The interest rate on the loan is $i^{(52)}=12\mathrm{.}500\%,$ and the payments

will be made quarterly. TBTF reinvests the payments at an interest rate of $i^{(26)}=14\mathrm{.}250\%.$ At maturity, what is TBTF Bank's annual ROI over

the lifetime of the loan? $($AFC does not default.$)$

a$.11\mathrm{.}289\%$

b$.12\mathrm{.}241\%$

c$.13\mathrm{.}601\%$

d$.14\mathrm{.}009\%$

e$.12\mathrm{.}377\%$