How much would you have to invest today to be able to withdraw $4,295 each month,...

How much would you have to invest today to be able to withdraw $4,295 each month, for 50 months, (starting next month), if your investments earn 3.43% APR (compounded monthly)?

Solutions

Expert Solution

Given,

Monthly withdrawal = $4295

Number of months (n) = 50

APR = 3.43% or 0.0343

Solution :-

Monthly rate (r) = 0.0343/12 = 0.0028583333

Present value = Monthly withdrawal/r x [1 - (1 + r)^-n]

= $4295/0.0028583333 x [1 - (1 + 0.0028583333)^-50]

= $4295/0.0028583333 x [1 - (1.0028583333)^-50]

= $4295/0.0028583333 x [1 - 0.86700303498]

= $4295/0.0028583333 x 0.13299696502 = $199844.42

You would have to invest $199844.42 today.

jeff jeffy answered 2 years ago

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