Discounting the cash flows
To calculate the present value of any cash flow, you need the following formula: Present value = expected cash flow ÷ (1 + discount rate)^number of periods
Year one
For year one, the math would look like this:
Present value = $50 ÷ (1 + .10)^1
Present value = $50 ÷ (1.10)^1
Present value = $50 ÷ 1.10
Present value = $45.45
In completing the steps, you learn that the present value of $50 is $45.45 at a 10% discount rate. Hence, the year one cash flow of $50 has a present value of $45.45.