contestada

What is the present worth of $1,095.50, payable in 20 years, if the discount rate (4%), compounds annually?

Respuesta :

Answer:

$500

Explanation:

The expression that describes the present net worth of an investment (P) given its future value (FV) at an annual rate (r) for a period of n years, compounded annually is:  

 [tex]P=\frac{FV}{(1+r)^n}[/tex]

If the future value of an investment is $1,095.50 after 20 years at a rate of 4% per year, the present value (P) is:

[tex]P=\frac{1,095.50}{(1+0.04)^{20}}\\P= \$499.97[/tex]

The present worth of this investment is roughly $500.