Problema Solution

how much do you have to deposit today o that beginning in 11 years from now you can withdraw $10,000.00 a year for the next 5 years (periods 11 through 15)plus an additional amount of $20,000.00 in the last year (period 15)? Assume an interest rate of 6%

Answer provided by our tutors

P = the principle or the money you have to deposit today

t = 11 years

r = 0.06 or 6% annual interest rate

A = 5*10,000 + 20,000

A = $70,000 is the future value

We will assume that the compounding is done annually:

A = P(1 + r)^t

P(1 + 0.06)^11 = 70,000

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click here to see the equation solved for P

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P = $36,875.13

You have to deposit $36,875.13 today.