If the future value of an ordinary, 7-year annuity is $10.000 and interest rates are 4 percent, what is the future value of the same annuity due?

The future value of the same annuity due is $10,400.

Explanation:

Step 1: Calculation of the annuity payment

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

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

Where,

FV = Future value of the amount after 7 years = $10.000

P = Annuity payment = ?

r = interest rate = 4%, or 0.04

n = number of years = 7

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

10,000 = P * (((1 + 0.04)^7 - 1) / 0.04)

10,000 = P * 7.89829448089601

P = 10,000 / 7.89829448089601

P = $1,266.09612039504

Step 2: Calculation of the future value of the same annuity due

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

FV = P * (((1 + r)^n - 1) / r) * (1 + r) (2)

Where,

FV = Future value the same annuity due = ?

P = Annuity payment as obtained in Step 1 above = $1,266.09612039504

r = interest rate = 4%, or 0.04

n = number of years = 7

Substituting the values into equation (2), we have:

FV = $1,266.09612039504 * (((1 + 0.04)^7 - 1) / 0.04) * (1 + 0.04)

FV = $1,266.09612039504 * 7.89829448089601 * 1.04

FV = $10,400

Therefore, the future value of the same annuity due is $10,400.

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3,500 beverages

explanation: