Here is the timeline for (expected) dividends and the (expected) stock price at the end of 10 years: Years 0 1 2 3 4 5 6 7 8 9 10 $0 $5 $8 $3 $0 $2 $5 $4 $0 $0 $110 Discount rate is 12 percent. What is the present value of these cash inflows to the stockholder? Show the calculations.
Answer: | ||||
Calculation of present value of the cash inflows to the shareholders: |
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Year | Cash flows | Present value factor @12% | Present value | |
0 | 0 | 1 | 1.0000 | 0.00 |
1 | 5 | =1/(1+0.12)^1 | 0.8929 | 4.46 |
2 | 8 | =1/(1+0.12)^2 | 0.7972 | 6.38 |
3 | 3 | =1/(1+0.12)^3 | 0.7118 | 2.14 |
4 | 0 | =1/(1+0.12)^4 | 0.6355 | 0.00 |
5 | 2 | =1/(1+0.12)^5 | 0.5674 | 1.13 |
6 | 5 | =1/(1+0.12)^6 | 0.5066 | 2.53 |
7 | 4 | =1/(1+0.12)^7 | 0.4523 | 1.81 |
8 | 0 | =1/(1+0.12)^8 | 0.4039 | 0.00 |
9 | 0 | =1/(1+0.12)^9 | 0.3606 | 0.00 |
10 | 110 | =1/(1+0.12)^10 | 0.3220 | 35.42 |
Total | 53.87 | |||
So, the present value of the cash inflows to the shareholders is $53.87 (Answer) |
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