Annuities

Ashna

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Apr 25, 2020
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18
Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.a. and if the first payment of $10,000 is received at the end of 10 years.

The working i have done is as shown below:

PV of Annuity Due = C * [ ( 1 - ( 1 +i ) ^ - n ) / i ] * ( 1 + i)

C = 10,000

i = 12%

n = 20

PV at Year 0 = PV at end of 10 years * 1 / (1.12 ^ 10) = 806,987.4 * 1 / (1.12)^10 = 259,828.3

is it correct????
 
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