Question

g Which one of these will increase the present value of a set amount to be received sometime in the future? A) Increase in the time until the amount is received C) Decrease in the future value E) Decrease in both the future value and the number of time periods D) Decrease in the interest rate B) Increase in the discount rate

Answer 1

Answer:

Decrease in the interest rate

Explanation:

Present value is the sum of discounted cash flows

let me use an example to illustrate

the present value of $100 in year 0 discounted at 6% = $100

the present value of $100 one year from now discounted at 6% = $94.33

the present value of $100 two years from now discounted at 6% = $89

We can see that present value decreases with an increase in time

2. the present value of $100 one year from now discounted at 6% = $94.33

the present value of $90 one year from now discounted at 6% = $84.91

We can see that present value decreases with a decrease in the future value.

3.  the present value of $100 one year from now discounted at 6% = $94.33

the present value of $100 one year from now discounted at 5% = $95.24

We can see that the lower the discount rate, the higher the present value