SOLUTION: Calculate the present value. (Round your answer to two decimal places.) A = $30,000, r = 15% compounded quarterly, t = 16 years

Algebra ->  Probability-and-statistics -> SOLUTION: Calculate the present value. (Round your answer to two decimal places.) A = $30,000, r = 15% compounded quarterly, t = 16 years       Log On


   



Question 1057800: Calculate the present value. (Round your answer to two decimal places.)
A = $30,000, r = 15% compounded quarterly, t = 16 years

Answer by solve_for_x(190) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that A = $30,000 is the future value (FV), then the present value (PV) can be calculated from:

FV+=+PV+%2A+%281+%2B+r%2Fn%29%5Ent

where r is the annual interest rate, n is the number of periods per year, and t is the number of years.

With FV = 30,000, r = 0.15, n = 4, and t = 16, the equation can be written as:

30000+=+PV+%2A+%281+%2B+0.15%2F4%29%5E%284%2A16%29

30000+=+PV+%2A+%281.0375%29%5E64

PV+=+30000+%2F+%281.0375%29%5E64

PV = $2,843.69