Question

In: Finance

Belle and the Beast want to retire in 10 years and can save $2,000 every three months.

 

Belle and the Beast want to retire in 10 years and can save $2,000 every three months. They plan to deposit the money at the beginning of each quarter into an account paying 4% compounded quarterly.

How much will Belle and the Beast have in 10 years?

Solutions

Expert Solution

A/c balance after 10 years (1+r)×P×[(1+r)^n-1]÷r
Here,
A Interest rate per annum 4.00%
B Number of years                                                               10
C Number of compoundings per per annum                                                                  4
A÷C Interest rate per period ( r) 1.00%
B×C Number of periods (n) 40
Payment per period (P) $                                                     2,000
A/c balance after 10 years $                          98,750.47
(1+1%)×2000×((1+1%)^40-1)÷1%

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