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Question 1: Use the time-value-of-money concepts to explain how much an investment of $2678 will grow...

Question 1: Use the time-value-of-money concepts to explain how much an investment of $2678 will grow to in 10 years at 10%compounded annually?


Question 2: What is the present value of $800 to be received in 10 years from now discounted back to the present at 8%?


Solutions

Expert Solution

Question 1)
CALCULATION OF THE FUTURE VALUE OF THE INVESTMENT IF THE INTEREST RATE IS @ 10%
Years FV of $ 1 @ 10%
0 1.00000
1 1.10000
2 1.21000
3 1.33100
4 1.46410
5 1.61051
6 1.77156
7 1.94872
8 2.14359
9 2.35795
10 2.59374 ""x"By $2,678.00
Future Value = FVF of $ 1 at 10 years X Investment Value
Future Value =                     2.5937 "X "By $2,678.00
Future Value = $6,946.04
Question 2)
CALCULATION OF THE PRESENT VALUE OF THE INVESTMENT IF THE INTEREST RATE IS @ 10%
Years PV of $ 1 @ 8%
0 1.00000
1 0.92593
2 0.85734
3 0.79383
4 0.73503
5 0.68058
6 0.63017
7 0.58349
8 0.54027
9 0.50025
10 0.46319 ""x"By $800.00
Present Value = FVF of $ 1 at 10 years X Investment Value
Present Value =                     0.4632 "X "By $800.00
Present Value = $370.55

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