Question

# An investor needs ​\$11 comma 000 in 12 years. ​(a) What amount should be deposited in...

An investor needs ​\$11 comma 000 in 12 years. ​(a) What amount should be deposited in a fund at the end of each quarter at 5​% compounded quarterly so that there will be enough money in the​ fund? ​(b) Find the​ investor's quarterly deposit if the money is deposited at 7.8​% compounded quarterly. Round both to the nearest cent

a.Information provided:

Future value= \$11,000

Time= 12 years*4= 48 quarters

Quarterly interest rate= 5%/4= 1.25%

The amount of quarterly deposit is calculated by entering the below in a financial calculator:

FV= -11,000

N= 48

I/Y= 1.25

Press the CPT key and PMT to compute the monthly mortgage payment.

The value obtained is 168.64.

Therefore, the amount of quarterly deposit is \$168.64.

b.Information provided:

Future value= \$11,000

Time= 12 years*4= 48 quarters

Quarterly interest rate= 7.8%/4= 1.95%

The amount of quarterly deposit is calculated by entering the below in a financial calculator:

FV= -11,000

N= 48

I/Y= 1.95

Press the CPT key and PMT to compute the monthly mortgage payment.

The value obtained is 140.48.

Therefore, the amount of quarterly deposit is \$140.48.