Question
Determine the regular monthly payment required to have 5000 at the end of 4 years if the investment earns 5.3% interest, compounded monthly. Select one: a. 93.74 b. 86.03 C. 89.61 d. 95.22
Solution
4.4
(231 Votes)
West
Master ยท Tutor for 5 years
Answer
### a. $93.74 (approximately)
Explanation
## Step 1: Convert the annual interest rate to a monthly rate.### The annual interest rate is 5.3%, so the monthly interest rate is
.## Step 2: Calculate the number of compounding periods.### The investment is compounded monthly for 4 years, so the number of periods is
.## Step 3: Use the future value of an ordinary annuity formula.### The future value of an ordinary annuity formula is
, where
is the future value,
is the periodic payment,
is the periodic interest rate, and
is the number of periods. We want to find
, so we rearrange the formula:
.## Step 4: Plug in the values and solve for P.###
.