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Multiple Choice
The variables in a future value of a lump sum problem include all of the following, except:
A
Number of Periods (n)
B
Present Value (PV)
C
Interest Rate (r)
D
Periodic Payment (PMT)
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Verified step by step guidance
1
Understand the concept of the future value of a lump sum. It refers to the value of a single amount of money invested today at a given interest rate over a specified number of periods.
Identify the key variables involved in the calculation of the future value of a lump sum. These include: Number of Periods (n), Present Value (PV), and Interest Rate (r).
Recognize that the formula for the future value of a lump sum does not include Periodic Payment (PMT). The formula is typically expressed as: , where FV is the future value, PV is the present value, r is the interest rate, and n is the number of periods.
Clarify that Periodic Payment (PMT) is a variable used in annuity problems, not in lump sum problems. An annuity involves a series of equal payments made at regular intervals, whereas a lump sum is a single payment or investment.
Conclude that the correct answer to the problem is Periodic Payment (PMT), as it is not a variable used in the future value of a lump sum calculation.