Question

In: Finance

Part 5: Relation between Future Value and Number of Periods In this part, you need to...

Part 5: Relation between Future Value and Number of Periods

In this part, you need to examine the relation between the future value and the number of periods.  

  1. For a present value of $5,000, create a table that shows the FV at 0%, 5%, and 10% for 0, 2, 4, 6, 8, and 10 years. (7 Points)

  1. In a single graph (scatter plot with straight lines and markers), graph the table above with years on the horizontal axis and FV on the vertical axis for each interest rate and be sure to label the y-axis, x-axis, chart title, and legend. (7 Points)
Part 5:
I) Interest rate PV Year FV
Interest rate PV Year FV
Interest rate PV Year FV
J) Graph

Solutions

Expert Solution

Here Present Value is = $5,000

Future Value (FV) = Present Value (P) * (1+i)n

                    FV = P * CVFn,i

CVFn,i = (1+i)^n = Compund Value Factor required for caluclating Future Value

In the table below the Compund Value Factor (CVF) are calculated:

In the table below the Future Values (FV) are calculated:

Scatter Plot for Future Values for Different Years and Interest Rate is given below:


Related Solutions

As you increase the number of periods (t), what happens to the future value of a...
As you increase the number of periods (t), what happens to the future value of a single cash flow? What happens to the present value? Assume that the interest rate (r) remains constant. As you increase the interest rate (r), what happens to the future value of a single cash flow.   What happens to the present value? Assume that the number of periods (t) remains constant. Explain your reasoning.
1. What is the relation between the present value factor and the future value factor?
1. What is the relation between the present value factor and the future value factor?
How can you determine the unknown number of periods when you know the present and future...
How can you determine the unknown number of periods when you know the present and future values – single amount or annuity – and the applicable rate of interest?
Future Value of an Annuity for Various Compounding Periods Find the future values of the following...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $400 each 6 months for 10 years at a nominal rate of 16%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. FV of $200 each 3 months for 10 years at a nominal rate of 16%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $
Future Value of an Annuity for Various Compounding Periods Find the future values of the following...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $600 each 6 months for 9 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $    FV of $300 each 3 months for 9 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $    The annuities...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $800 each 6 months for 9 years at a nominal rate of 8%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ FV of $400 each 3 months for 9 years at a nominal rate of 8%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ The annuities...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $200 each 6 months for 5 years at a nominal rate of 8%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $   FV of $100 each 3 months for 5 years at a nominal rate of 8%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $   The annuities...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $600 each 6 months for 4 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $   FV of $300 each 3 months for 4 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $   The annuities...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following...
Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities. FV of $800 each 6 months for 9 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $   FV of $400 each 3 months for 9 years at a nominal rate of 12%, compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $   The annuities...
Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of...
Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 83 students in the highest quartile of the distribution, the mean score was x = 176.10. Assume a population standard deviation of σ = 7.61. These students were all classified...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT