# Time Value of Money: Single Cash Flow

Respond to the questions and complete the problems.

#### Questions

In a Word document, respond to the following. Number your responses 1–3.

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1. Explain the concept of cash flow in corporate finance.
2. Explain how present value and future values are related.
3. Explain how present values are affected by changes in interest rates.

Use references to support your responses as needed. Be sure to cite all references using correct APA style. Your responses should be free of grammar and spelling errors, demonstrating strong written communication skills.

#### Problems

In either a Word document or Excel spreadsheet, complete the following problems.

• You may solve the problems algebraically, or you may use a financial calculator or an Excel spreadsheet.
• If you choose to solve the problems algebraically, be sure to show your computations.
• If you use a financial calculator, show your input values.
• If you use an Excel spreadsheet, show your input values and formulas.

In addition to your solution to each computational problem, you must show the supporting work leading to your solution to receive credit for your answer.

Unless otherwise directed, assume annual compounding periods in the computational problems.

1. If you deposited \$250 in your savings account today, and the bank pays 4 percent interest per year, how much would you have in your savings account after 9 years?
• Recalculate the account balance using a 6 percent interest rate and a 7 percent interest rate.
2. A \$450 deposit earns 6 percent interest in the first year, 3 percent interest in the second year, and 7 percent interest in the third year. What is the future value at the end of the third year?
3. What is the annual rate of return for an \$8,000 investment if in five years it grows to \$12,500?
• Assuming the growth occurred in six years and then eight years, recalculate the rate of return for these two scenarios.

# Time Value of Money: Single Cash Flow Scoring Guide

CRITERIA NON-PERFORMANCE BASIC PROFICIENT DISTINGUISHED
Explain the concept of cash flow in corporate finance. Does not explain the concept of cash flow in corporate finance. Explains the concept of cash flow in corporate finance but omits key elements. Explains the concept of cash flow in corporate finance. Analyzes the concept of cash flow in corporate finance and connects the analysis to relevant real-world situations.
Explain how present value and future value are related. Does not explain how present value and future value are related. Constructs an inaccurate or incomplete explanation of how present value and future value are related. Explains how present value and future value are related. Analyzes how present value and future value are related and connects the analysis to relevant real-world situations.
Explain how present values are affected by changes in interest rates. Does not explain how present values are affected by changes in interest rates. Constructs an inaccurate or incomplete explanation of how present values are affected by changes in interest rates. Explains how present values are affected by changes in interest rates. Analyzes how present values are affected by changes in interest rates and connects the analysis to relevant real-world situations.
Calculate the future value of an initial deposit. Does not calculate the future value of an initial deposit. Calculates the future value of an initial deposit using inaccurate or incomplete data. Calculates the future value of an initial deposit. Calculates the future value of an initial deposit and explains the calculation.
Calculate the future value of a savings account. Does not calculate the future value of a savings account. Calculates the future value of a savings account using inaccurate or incomplete data. Calculates the future value of a savings account. Calculates the future value of a savings account and explains the calculation.
Calculate the annual rate of return on an investment that has increased in value over time. Does not calculate the annual rate of return on an investment that has increased in value over time. Calculates the annual rate of return on an investment that has increased in value over time using inaccurate or incomplete data. Calculates the annual rate of return on an investment that has increased in value over time. Calculates the annual rate of return on an investment that has increased in value over time and explains the calculation.

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