You are a financial adviser. Your client is thinking of investing $$1,200\mathrm{.}00$ at the end of every six months for the next $9$ years with the invested funds earning $6\mathrm{.}4\%$ compounded semiannually. Your client wants to know how much money she will have after $9$ years. What do you tell your client?

a$.$ Determine the annuity type.

Ordinary Simple Annuity

Ordinary General Annuity

Simple Annuity Due

General Annuity Due

b$.$ Identify the following pieces of information to be used to calculate the future value of the annuity.

Periodic Payment: $PMT=$

Number of Payments per Year: $PY=$

Total Number of Payments: $N=$

Annual Interest Rate: $r=$

Number of Compoundings per Year. $CY=$

c$.$ Your client will have after $9$ years.

Note: You can earn partial credit on this problem.