You are contemplating between four possible interest rate structures.

The rates are as follows:

a$)$ annual effective rate of $12\%$

b$)$ annual nominal rate of $12\%$ compounded monthly

c$)$ annual nominal rate of $8\mathrm{.}75\%$ compounded quarterly

d$)$ annual nominal rate of $9\%$ compounded semiannually

You wish to deposit $$5,000$ into a fund for $2$ years.

Calculate the difference between the largest and smallest possible accumulated values of your

deposit at the end of $2$ years.