Question $8\mathrm{.}04$

A $10-$year annuity$-$immediate makes monthly payments at a rate of $$60$ per year in the

first year, $$120$ per year in the second year, $$180$ per year in the third year, and so on$.$

The nominal annual interest rate is $6\%$ compounded monthly.

Calculate the accumulated value of the annuity at the end of $10$ years.

A $2,256$

B $2,267$

C $3,884$

D $3,993$

E $4,105$

Please solve by hand. The answer should be $4,105.$