Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 4.5%/year compounded monthly. If the future value of the annuity after 11 years is $55,000, what was the size of each payment?

Answers

Answer 1

Answer:

The size of each payment was $322.78.

Explanation:

This can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where,

FV = Future value of the amount after 11 years = $55,000

M = Monthly payment = ?

r = Monthly interest rate = 4.5% / 12 = 0.045 / 12 = 0.00375

n = number of months = 11 years * 12 = 132

Substituting the values into equation (1) and solve for M, we have:

$55,000 = M * (((1 + 0.00375)^132 - 1) / 0.00375)

$55,000 = M * 170.394706737074

M = $55,000 / 170.394706737074

M = $322.779979808101

Rounding to 2 decimal places, we have:

M = $322.78

Therefore, the size of each payment was $322.78.


Related Questions

If Congress votes to increase spending and taxes by the same amount, what is the effect on employment and interest rates

Answers

Answer:

a. Increase / Increase

Explanation:

Since in the question it is mentioned that there is an increase in taxes and government spending so it represents the positive stimuls as it occurs because the government incurrent all the revenue for the public welfare due to which there is a rise in the government expenditure that boost the aggregate demand also the GDP value would be rise because of the multiplier effect

Therefore the employment level and the rate of interest would also increased

Answer:

The correct answer was increase / no change

Explanation:

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