In: Finance
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%?
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 | |||||