Jason borrows $ $10300$ for the next $4$ years at a variable interest rate. Assume that the interest accumulates for $4$ years at an annual nominal rate of $11\%$ compounded quarterly. Calculate the outstanding loan balance that Jason will have to settle if he makes no prior payment until the end of the $4$ years.

a$.$

$ $16057\mathrm{.}13$

b$.$

$ $16784\mathrm{.}57$

c$.$

$ $15898\mathrm{.}15$

d$.$

$ $16375\mathrm{.}09$

e$.$

$ $44397\mathrm{.}54$