An individual wants to have 1,000,000 AED in 10 years. Suppose she will pay no taxes at the end of the 10 years investment period. During this time span, she plans on making no withdrawals or deposits. The following are the choices in which she can invest:

(i) a savings account earning 6.5% compounded quarterly,

(ii) a checking account earning 4.5% compounded monthly, or

(iii) a money market account earning 2.5% compounded semiannually.

(a) Determine how much the person must save today to reach her goal. ?

(b) What is her optimal choice and why?