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you can afford to save is $1 500 per​ year, but you want to retire with ​$1000000 in your investment​ account, you plan to retire in 29 years, how high of a return do you need to earn on your​ investments?

Question

you can afford to save is 1500peryear,butyouwanttoretirewith1 500 per​ year, but you want to retire with ​1000000 in your investment​ account, you plan to retire in 29 years, how high of a return do you need to earn on your​ investments?

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Solution

To solve this problem, we need to use the formula for the future value of a series of payments, or an annuity, which is:

FV = P * [(1 + r)^n - 1] / r

where: FV = future value of the investment account P = annual savings r = annual return rate n = number of years

We know that FV = 1,000,000,P=1,000,000, P = 1,500, and n = 29 years. We need to solve for r.

Rearranging the formula to solve for r gives us:

r = [(FV / P) + 1]^(1/n) - 1

Substituting the known values gives us:

r = [(1,000,000 / 1,500) + 1]^(1/29) - 1

Solving this equation will give us the annual return rate needed to reach the investment goal.

This problem has been solved

Similar Questions

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