Question

In: Finance

Trying to solve a problemWithdrawals per year =$50,000Number of years -25Amount required at...

Trying to solve a problem

Withdrawals per year =$50,000

Number of years -25

Amount required at the end of 20 years will be equal to the present value of all future withdrawls.

i.e. Amount = $50,000*PVAF(11%,25years)

= $50,000*8.422

= 421,100

Where or how do they get to 8.422. To multiply by the $50,000 I just can't figure that out?

Solutions

Expert Solution

The figure of 8.422 is present value annuity factor of 11% of 25 years which is computed as follows:

= [ (1 – 1 / (1 + r)n) / r ]

= [ (1 - 1 / (1 + 0.11)25 ) / 0.11 ]

= (1 - 0.073608087) / 0.11

= 0.926391913 / 0.11

= 8.422 Approximately (Rounded to 3 decimal places)


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