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Multiple Choice
Which of the following processes can be used to calculate the future value for multiple cash flows?
A
Compounding each cash flow to the future date and summing the results
B
Discounting each cash flow to the present and adding them together
C
Subtracting each cash flow from the initial investment
D
Averaging all cash flows and multiplying by the number of periods
Verified step by step guidance
1
Understand the concept of future value: Future value is the value of a cash flow or series of cash flows at a specific date in the future, calculated using a compounding process.
Recognize that compounding involves applying the formula for future value to each individual cash flow. The formula for future value is: FV = PV × (1 + r)^n, where FV is the future value, PV is the present value, r is the interest rate, and n is the number of periods.
Apply the compounding formula to each cash flow individually to calculate its future value at the desired future date. This ensures that each cash flow is adjusted for the time value of money.
Sum the future values of all individual cash flows to determine the total future value of the series of cash flows. This step combines the results of the compounding process for each cash flow.
Understand why other options are incorrect: Discounting cash flows to the present calculates present value, not future value. Subtracting cash flows from the initial investment does not account for the time value of money. Averaging cash flows and multiplying by the number of periods does not accurately calculate future value.