Given the future value, which of the following will contribute to a lower present value?Question 8Select one:a.Higher discount rateb.Fewer time periodsc.Less frequent discountingd.Lower discount factore.None of these is correc
Question
Given the future value, which of the following will contribute to a lower present value?Question 8Select one:a.Higher discount rateb.Fewer time periodsc.Less frequent discountingd.Lower discount factore.None of these is correc
Solution
The correct answer is a. Higher discount rate.
Here's why:
The present value (PV) of a future amount of money is calculated using a discount rate. The formula for calculating present value is:
PV = FV / (1 + r)^n
where:
- FV is the future value of the money
- r is the discount rate
- n is the number of time periods
From this formula, we can see that if the discount rate (r) increases, the denominator of the equation becomes larger, and therefore the overall result (the present value) becomes smaller.
So, a higher discount rate will contribute to a lower present value.
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