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Multiple Choice
Which of the following varies directly with the interest rate in time value of money calculations?
A
Present value of an ordinary annuity
B
Future value of a single sum
C
Present value of a single sum
D
Discount factor
Verified step by step guidance
1
Understand the concept of time value of money: Time value of money calculations involve determining how the value of money changes over time due to interest rates. Key components include present value, future value, and discount factors.
Analyze the relationship between interest rates and future value: The future value of a single sum increases directly with the interest rate because higher interest rates lead to greater accumulation of interest over time.
Examine the present value of a single sum: The present value of a single sum decreases as the interest rate increases because the discounting effect becomes stronger, reducing the current worth of future cash flows.
Consider the present value of an ordinary annuity: Similar to the present value of a single sum, the present value of an ordinary annuity decreases as the interest rate increases due to the discounting effect.
Evaluate the discount factor: The discount factor is inversely related to the interest rate. As the interest rate increases, the discount factor decreases, which reduces the present value of future cash flows.