What is the future value of 15 deposits of $2,640 each made at the beginning of each period and compounded at 10%? (Future value as of the end of the 15th period.) (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)

Respuesta :

Answer:

Future value  = $92,267

Explanation:

An annuity is a series of annual equal payments or receipts occurring for a certain of number of years.

If the cash flow occurs at the beginning and the end of the period in question, it is an ordinary annuity and annuity due respectively.

To calculate the future value of an annuity due as given in the question, we follow these steps:

Step 1

Calculate the Future of an ordinary annuity

A× ( (1+r) - 1) / r)

A- 2,640, r = 10%

FV = 2,640 ×( ( 1.1^(15) - 1)/0.15 )

    = 2,640 × 31.77248

    =  $83,879.35

Step 2

Determine the future of an annuity due

FV annuity due = 83,879.35×

FV = 83,879.35 × 1.1

   =  $92,267

Future value  = $92,267