Elizabeth wants to have $500,000 saved for retirement in 20 years. Assuming she can earn an 8% annual return on her investments how much will she need to save at the end of each of the next 20 years to accomplish her goal?

Respuesta :

Answer:

she need to save $10,926.10 at the end of each year.

Explanation:

Given:

Future value of annuity = $500,000

Time period, n = 20 years

annual rate of return = 8% = 0.08

[tex]\textup{Future value of annuity}=\textup{Annuity}\times[\frac{(1+r)^{n}-1}{r}][/tex]

on substituting the respective values, we get

[tex]\textup{500,000}=\textup{Annuity}\times[\frac{(1+0.08)^{20}-1}{0.08}][/tex]

or

Annuity = $10,926.10

Hence,

she need to save $10,926.10 at the end of each year.