11. Your neighbor has just won a bonus prize of $ 1,000,000 at 6/49. He deposits this amount in a bank account earning him 6.75% per year, compounded monthly (every month). He wants to start withdrawing money every month for 25 years in a month. How much will he withdraw each month?
Annuity payment= | P/ [ [1- (1+r)-n ]/r ] | |||
P= | Investment | 1,000,000.00 | ||
r= | Rate of interest per period | |||
Rate of interest per annum | 6.75% | |||
Payments per year | 12.00 | |||
Rate of interest per period | 0.563% | |||
n= | number of payments: | |||
Number of years | 25 | |||
Payments per year | 12.00 | |||
number of payments | 300 | |||
Annuity payment= | 1000000/ [ (1- (1+0.00563)^-300)/0.005625 ] | |||
Annuity payment= | 6,909.12 |
Answer is:
6,909.12
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