How much would $20,000 due in 50 years be worth today if the discount rate were 7.5%? $461.08 $510.89 $438.03 $537.78 $485.35

Respuesta :

Answer:

$537.78

Explanation:

According to given data:

Future Value = FV = $20,000

No. of years = n = 50 years

Discount Rate = n = 7.50%

Present value = PV = ?

Using Future value formula as below

Future value = Present value x ( 1 + rate of interest )^Number of years

FV = PV x [tex](1+r)^{n}[/tex]

PV = [tex]\frac{FV}{(1+r)^{n}}[/tex]

PV = FV x [tex](1+r)^{-n}[/tex]

PV = $20,000 x [tex](1+0.075)^{-50}[/tex]

PV = $537.78

So, the correct answer is $537.78.