You want to be a millionaire when you retire in 40 years. How much do you have t

Question

You want to be a millionaire when you retire in 40 years. How much do you have to save each month if you can earn an annual return of 11.6 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Savings per month $ How much do you have to save each month if you wait 10 years before you begin your deposits? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Savings per month $ How much do you have to save each month if you wait 20 years before you begin your deposits? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Savings per month $

Explanation / Answer

Part 1.

Let x be the monthly saving each month for the next 40 years.

1,000,000 = x*1.0097^479 + x*1.0097^478 + ... + x*1.0097 + x

1,000,000 = x * 10503.094

x = $95.21

Part 2.

1,000,000 = x*1.0097^359 + x*1.0097^358 + ... + x*1.0097 + x

1,000,000 = x * 3227.155

x = $309.87

Part 3.

1,000,000 = x*1.0097^239 + x*1.0097^238 + ... + x*1.0097 + x

1,000,000 = x * 942.575

x = $1060.92

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