Question

In: Finance

What is the present value of 1,400 per year annually at the endof years 25...

What is the present value of 1,400 per year annually at the end of years 25 to 43 if the interest rate is 7%

14,082.72

13,759.64

14,469.83

2,852.68

2,594.73

Solutions

Expert Solution

PV of Annuity:
Annuity is series of cash flows that are deposited at regular intervals for specific period of time.
PV of Annuity = Cash Flow * [ 1 - [(1+r)^-n]] /r
r - Int rate per Years
n - No. of Years
PV of Annuity
Particulars Amount
Cash Flow $      1,400.00
Int Rate 7.000%
Periods 18

Periods = 43-25 = 18

PV of Annuity = Cash Flow * [ 1 - [(1+r)^-n]] /r
= $ 1400 * [ 1 - [(1+0.07)^-18]] /0.07
= $ 1400 * [ 1 - [(1.07)^-18]] /0.07
= $ 1400 * [ 1 - [0.2959]] /0.07
= $ 1400 * [0.7041]] /0.07
$                14,082.72

First option has to be selected


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