Question

Tuition of $2200 is due when the spring term begins, in What amount should a student deposit today, at to have enough to pay tuition?

Answer 1

Answer:

Since Interest Rate and Period is not given; we would assume the spring term begins in 4 months and

Explanation:

First we will require to use the compound interest formula.

It is not mentioned the compounding period in the question. However, many of the bank accounts today offer monthly compounding, and this will be used as the basis.

i=interest rate=7.62% p.a => 7.62/12=0.635% per month

FV=PV(1+i)^n

FV=future value = 2200

PV=present value, to be found

i=interest rate per compounding period (month)=0.00635

n=number of periods=4

2200=PV(1+0.00635)^4

PV=2200/(1.00635^4)

PV=$2144.99

In case interest is not compounded, we could apply the simple interest formula:

FV=PV(1+ni)

PV=2200/(1+4*0.00635)

PV=$2145.504