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Personal Finance Problem P5-6 Time value As part of your financial planning, you wish to purchase a new car 5 years from toda

PART TWO Financial P5-32 Value of mixed streams Find the present value of the streams of cash flows shown in the following ta

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P5-6
a) Year Price Inflation Rate Inflation Amount Total price
(Col A) (Col B) (Col C) (Col D =Col B * Col C) (Col B + Col D)
0(today) 14,000.00                                   -           14,000.00
1 14,000.00 2%                          280.00         14,280.00
2 14,280.00 4%                          571.20         14,851.20
3 14,851.20 4%                          594.05         15,445.25
4 15,445.25 4%                          617.81         16,063.06
5 16,063.06 4%                          642.52         16,705.58

Estimate Price of the Car after 5 years = $ 16705.58

b) Year Price Inflation Rate Inflation Amount Total price
(Col A) (Col B) (Col C) (Col D =Col B * Col C) (Col B + Col D)
0(today) 14,000.00                                   -           14,000.00
1 14,000.00 4%                          560.00         14,560.00
2 14,560.00 4%                          582.40         15,142.40
3 15,142.40 4%                          605.70         15,748.10
4 15,748.10 4%                          629.92         16,378.02
5 16,378.02 4%                          655.12         17,033.14

Estimate price of car after 5 years @ 4% of Inflation $ 17033.14

Estimate Price of the Car after 5 years @2% of Inflation in 1st year and 4%in rest $ 16705.58

Car will be expensive by $ 327.56 ($ 17033.14 - $ 16705.58)

c) Year Price Inflation Rate Inflation Amount Total price
(Col A) (Col B) (Col C) (Col D =Col B * Col C) (Col B + Col D)
0(today) 14,000.00                                   -           14,000.00
1 14,000.00 2%                          280.00         14,280.00
2 14,280.00 2%                          285.60         14,565.60
3 14,565.60 4%                          582.62         15,148.22
4 15,148.22 4%                          605.93         15,754.15
5 15,754.15 4%                          630.17         16,384.32

Estimate Price of the Car after 5 Years $ 16384.32

P5-32
A.
Year Cash flow Opportunity Cost Rate Formula Present Value
1 -2000 12% -2000 / (1+0.12)                      -1,785.71
2 3000 12% 3000 / (1+0.12)2                       2,391.58
3 4000 12% 4000 / (1+0.12)3                       2,847.12
4 6000 12% 6000 / (1+0.12)4                       3,813.11
5 8000 12% 8000 / (1+0.12)5                       4,539.41
Present Value                     11,805.51
B.
Year Cash flow Opportunity Cost Rate Formula Present Value
1 10000 12% 10000 / (1+0.12)                       8,928.57
2 5000 12% 5000 / (1+0.12)2                       3,985.97
3 5000 12% 5000 / (1+0.12)3                       3,558.90
4 5000 12% 5000 / (1+0.12)4                       3,177.59
5 5000 12% 5000 / (1+0.12)5                       2,837.13
6 7000 12% 7000 / (1+0.12)6                       3,546.42
Present Value                     26,034.58
C.
Year Cash flow Opportunity Cost Rate Formula Present Value
1 10000 12% 10000 / (1+0.12)                       8,928.57
2 10000 12% 10000 / (1+0.12)2                       7,971.94
3 10000 12% 10000 / (1+0.12)3                       7,117.80
4 10000 12% 10000 / (1+0.12)4
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