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Multiple Choice
Which of the following time value of money equations is most appropriate for a manager to use when forecasting future operating income based on current income and a constant growth rate?
A
Future Value = Present Value \( \times (1 + r)^n \)
B
Operating Income = Revenue - Cost of Goods Sold
C
Net Present Value = Cash Inflows - Cash Outflows
D
Present Value = Future Value \( \div (1 + r)^n \)
Verified step by step guidance
1
Understand the concept of time value of money: The time value of money is a financial principle stating that money available today is worth more than the same amount in the future due to its earning potential. This principle is used to calculate future or present values based on growth rates or discount rates.
Identify the equation for forecasting future operating income: The equation Future Value = Present Value × (1 + r)^n is most appropriate for forecasting future operating income when there is a constant growth rate. This formula accounts for the compounding effect of growth over time.
Break down the formula: In the equation Future Value = Present Value × (1 + r)^n, 'Present Value' represents the current operating income, 'r' is the constant growth rate (expressed as a decimal), and 'n' is the number of periods over which the growth occurs.
Relate the formula to operating income: Operating income is calculated as Revenue - Cost of Goods Sold. Once the current operating income is determined, it can be used as the Present Value in the formula to forecast future operating income.
Apply the formula step-by-step: To forecast future operating income, multiply the current operating income (Present Value) by (1 + r)^n, where 'r' is the constant growth rate and 'n' is the number of periods. This will give the projected future operating income based on the given growth rate.