In: Finance
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.