Global Shippers Inc. has forecast earnings of $1,233,600, $1,345,900, and $1,455,650 for the next three years. What is the future value of these earnings if the firm's opportunity cost is 13 percent?

Respuesta :

Answer:

$4,551,701

Explanation:

Global Shippers Inc. has forecast earnings of $1,233,600, $1,345,900, and $1,455,650 for the next three years. The future value of these will be $4,551,701 earnings if the firm's opportunity cost is 13 percent.

Answer:

Explanation:

Given:

Annuity amount in year 1, A1 = $1,233,600

Annuity amount in year 2, A2 = $1,345,900

Annuity amount in year 3, A3 = $1,455,650

Rate, r = 13%

The equation for the future value of an ordinary annuity is the sum of the geometric sequence:

Future value, FV = A(1 + r)^0 + A(1 + r)^1 + ...+ A(1 + r)^n-1

FVOA = A3(1 + r)^0 + A2(1 + r)^1 + A1(1 + r)^2

Inputting values,

= $1,233,600 × 1.13^2 + $1,345,900 × 1.13^1 + $1,455,650 × 1.13^0

= $4551700.84

= $4551701