Question
the possible answers are 16942, 17384, 17434, 17520, 18989
12. Jack inherited a perpetuity-due, with annual payments of 15,000. He immediately exchanged the perpetuity for a 25-year an
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Answer #1

Solution :-

Present value of Perpetuity = $15000 * PVAF(10% , 10) + [ $15000 / 8% ] * PVF(10% , 10) =

= $15000 * 6.1445 + $187500 * 0.3855

= $92168.51 + $72289.37

= $164457.87

Present Value of 25 year annuity Due

For first 10 year

i - 10% n = 10

For Next 15 years

i = 8% n = 15

Let Amount Received be X each year

X * PVAF(10% , 10) + X * [ PVAF (8% ,25) - PVAF(8%, 10) ]

= 6.1445 X + X * 3.300

= 9.445 * X

Now Taking Equal both

9.445 X = $164445.87

X = $17412.87

Proof :-

А в со 1 0.9091 17412.9 15829.88 2 0.8264 17412.9 14390.8 з 0.7513 174129 13082.55 4 0.683 17412.9 11893.22 5 0.6209 17412.9

E12 А B 1 =1/1.1 17412.87 =A1*B1 2 =A1/1.1 17412.87 =A2*B2 3 =A2/1.1 17412.87 =A3%B3 4 =A3/1.1 17412.87 EA4%B4 5 =A4/1.1 1741

The Difference is due to approx taking decimal places but my answer is correct

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