How does the present value of a future payment change as the interest rate increases?

As the interest rate increases, the present value of a future payment decreases. This is because higher interest rates reduce the amount that a future cash flow is worth today, making it less valuable in present terms.

The present value (PV) of a future cash flow is calculated by discounting the future amount using the interest rate. When the interest rate rises, the discounting effect is stronger, leading to a lower present value. For example, at a 20% interest rate, a large future payment would be worth significantly less today compared to a lower interest rate. This relationship illustrates how the value of money decreases over time with higher interest rates.