A | B | C | D | E | F | G | H | I | J | K |
2 | ||||||||||
3 | a) | |||||||||
4 | ||||||||||
5 | Net cash flows without tablet line | $100,000 | ||||||||
6 | Firm discount rate | 15% | ||||||||
7 | Since the firm net cash flow will be constant in perpetuity, therefore | |||||||||
8 | ||||||||||
9 | Value of the firm without tablet line | =PV of constant perpetuity | ||||||||
10 | =$100,000 / 15% | |||||||||
11 | $666,666.67 | =D5/D6 | ||||||||
12 | ||||||||||
13 | Number of shares outstanding | 200,000 | ||||||||
14 | ||||||||||
15 | Price per share of the firm without tablet line | =Value of the firm without tablet line / Total number of shares outstanding | ||||||||
16 | =$666,666.67 / 200,000 | |||||||||
17 | $3.33 | =D11/D13 | ||||||||
18 | ||||||||||
19 | Hence Price per share of the firm without tablet line | $3.33 | ||||||||
20 | ||||||||||
21 | b) | |||||||||
22 | ||||||||||
23 | Additional cash flow from the tablet line | $32,000 | ||||||||
24 | Growth rate of cash flows | 5% | ||||||||
25 | Discount rate | 15% | ||||||||
26 | ||||||||||
27 | Present value of the cash flows of tablet line | =Present value of growing perpetuity | ||||||||
28 | =$32,000 / (15%-5%) | |||||||||
29 | $320,000.00 | =D23/(D25-D24) | ||||||||
30 | ||||||||||
31 | Hence value of the growth opportunity of tablet line | $320,000.00 | ||||||||
32 | ||||||||||
33 | c) | |||||||||
34 | ||||||||||
35 | Total Value of the firm | =Value of the firm witout the tablet line + Value of the tablet line | ||||||||
36 | =$666,666.67 +$320,000 | |||||||||
37 | $986,666.67 | =D11+D31 | ||||||||
38 | Number of shares outstanding | 200,000 | ||||||||
39 | ||||||||||
40 | Price per share of the tablet line | =Value of the firm without tablet line / Total number of shares outstanding | ||||||||
41 | =$986,666.67 / 200,000 | |||||||||
42 | $4.93 | =D37/D38 | ||||||||
43 | ||||||||||
44 | Hence Price per share of the firm with tablet line | $4.93 | ||||||||
45 |
Formula sheet
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