Question

In: Finance

1. Suppose that one year from now you receive $450. At the end of the next...

1. Suppose that one year from now you receive $450. At the end of the next nine years you receive a payment that is 2% larger than the prior year. If the cost of capital is 11% what is this stream of cash flows worth today?

2. Suppose that one year from now you will receive $400 and that at the end of every year thereafter you will receive a payment that is 1% larger than the prior payment. If the cost of capital is 12% what is this stream of cash flows worth today?

3. Suppose that one year from now you will receive $400. At the end of each of the next four years you will receive a payment that is 3% bigger than the prior payment. Following year five you will receive a payment at the end of every year that is 1% larger than the prior payment. If the cost of capital is 7% what is the this stream of cash flows worth today?

Solutions

Expert Solution

1.

11.00%
Cash flows Year Discounted CF
                           -   0 0.00
                 450.00 1 405.41
                 459.00 2 372.53
                 468.18 3 342.33
                 477.54 4 314.57
                 487.09 5 289.07
                 496.84 6 265.63
                 506.77 7 244.09
                 516.91 8 224.30
                 527.25 9 206.11
                 537.79 10 189.40

present worth = 2,853.45

2.

worth of this infinite cash flow = 400/(0.12 - 0.01) = 3,636.36

3.

7.00%
Cash flows Year Discounted CF
                           -   0 0.00
                 400.00 1 373.83
                 412.00 2 359.86
                 424.36 3 346.40
                 437.09 4 333.45
                 450.20 5 320.99
              7,578.43 5 5403.31

present worth = 7,137.85


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