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Your bank will pay you an interest rate of .077 percent compounded weekly. You want to...

Your bank will pay you an interest rate of .077 percent compounded weekly. You want to have $20,000 in 6 years. How much will you have to deposit today? Assume 52 weeks per year.

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Answer #1

Annual interest rate = 0.077%
Weekly interest rate = 0.077% / 52
Weekly interest rate = 0.001481%

Future value = $20,000
Period = 6 years or 312 weeks

Present value = Future value / (1 + Weekly interest rate)^Period
Present value = $20,000 * (1 / 1.00001481)^312
Present value = $20,000 * 0.995390
Present value = $19,907.80

So, you have to deposit today is $19,907.80

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