Question

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Present Value of an Annuity What is the present value of a $400 annuity payment over...

Present Value of an Annuity What is the present value of a $400 annuity payment over 6 years if interest rates are 9 percent?

$670.84

$2,013.18

$238.51

$1,794.37

Solutions

Expert Solution

Present value of annuity P×[1-(1÷(1+r)^n)]÷r
Here,
1 Interest rate per annum 9.00%
2 Number of years                                                   6
3 Number of compoundings per per annum                                                   1
4 = 1÷3 Interest rate per period ( r) 9.00%
5 = 2×3 Number of periods (n) 6
Payment per period (P) $                                          400
Present value of annuity $                 1,794.37
400*[1-(1/(1+9%)^6]/9%

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