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As, the present value of future cash flows is determined by the discount rate, so increase or decrease in the discount rate will affect the present value.

Discount rate is simply cost or the expense to the company,so in simplest terms, discount rate goes up, cost goes up,so this will lower the present value of cash flows.

Assumes a discount rate of 5%,to discount $100 in one years time:

Present Value=$100 * 1/(1.05) =$95.24

Ok,as you say,if the discount rate becomes higher,let's say 8%:

Present Value=$100 * 1/(1.08) =$92.6

so, the higher the discount rate, the lower the present value.

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