Question

Assume that you have two cash flows, one for time to and the other for time tl: F0=10000 F1=15000 Assume that the interest ra
2. If the interest rate is 14% or 6%, how these different rates would impact your smoothing process? Which of the three scena
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Answer #1

1) There will be a decrease in future consumption by 20%
FV of F0 after 1 year
1000 * 1.10 = 11000
F1 = 15000

If the 20% decrease is in F1
15000 * ( 1 - 0.2 ) = 12000
12000 + 11000 = 23000
23000 / 2 = 11500

Total = 15000 + 11000
= 26000
If the 20% decrease is in total
26000 * ( 1- 0.2 ) = 20800
20800 / 2 = 10400

2) if the intrrest rate is 6% and 12%

Interest rate
10% 6% 14%
F0 10000 11000 11660 13292.40
F1 15000 15000 15000 15000
20% decrease in F1 12000 12000 12000
Total 23000 23660 25292.4
Smoothing Out 11500 11830 12646.2
Total 26000 26660 28292.4
20% decrease in Total 20800 21328 22633.92
Smoothing Out 10400 10664 11316.96


In any case, the scenario of a higher interest rate or a 14% interest rate is more advantageous.

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