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aleksley [76]
3 years ago
12

You want to have $1,000,000, 25 years from today. Assuming a 7% annual return (which will be compounded monthly), how much do yo

u need to invest each month in order to have the $1,000,000 in 25 years?
Business
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

Monthly payments = $1,234.54

Explanation:

given data

Future value = $1,000,000

time = 25 year = 25 × 12 = 300 months

rate = 7 % annual = \frac{0.07}{12} = 0.5833%  monthly

to find out

Monthly payments

solution

we will apply here future value formula that is express as

Future value = Monthly payments × \frac{(1+rate)^{time} - 1}{rate}  ..........1

put here value we get

Future value = Monthly payments × \frac{(1+rate)^{time} - 1}{rate}

1,000,000 = Monthly payments × \frac{(1+0.005833)^{300} - 1}{0.005833}

solve it we get

Monthly payments = $1,234.54

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Note:

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The Complete Question is as under:

Refer to the HR Reports in the Inquirer. Through past investments in recruiting and training Digby has obtained a productivity index of 109.6%. This means that Digby's labor costs would be increased by 9.6% if it did not have these productivity improvements. This is a competitive advantage that Digby can sustain or even widen further if its competitors have no HR initiatives. Now, refer to the Income Statement in Digby's Annual Report. How much did Digby's productivity improvements save it in direct labor costs (in thousands) last year?

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