Present and future values of a cash flow stream An investmen

Present and future values of a cash flow stream An investment will pay $150 at the end of each of the next 3 years, $200 at the end of Year 4, $400 at the end of Year 5, and $550 at the end of Year 6. a. If other investments of equal nsk earn 7% annually, what is its present vale? Round your answer to the nearest ce b. If other investments of equal risk earn 7% annually, what is its future value? Round your answer to the nearest cent.

Solution

a.

Present value = 1,197.91

b. future value = 1,197.91 * 1.07^6 = 1,797.74

Discount rate 7.0000%
Cash flows Year Discounted CF= cash flows/(1+rate)^year Cumulative cash flow
                             -   0                                            -                                           -  
                 150.000 1                                   140.19                                140.19
                 150.000 2                                   131.02                                271.20
                 150.000 3                                   122.44                                393.65
                 200.000 4                                   152.58                                546.23
                 400.000 5                                   285.19                                831.42
                 550.000 6                                   366.49                            1,197.91
 Present and future values of a cash flow stream An investment will pay $150 at the end of each of the next 3 years, $200 at the end of Year 4, $400 at the end

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