Suppose that NVIDIA Corporation (NVDA) stock is selling for $150.00. Analysts believe that the growth rate for NVDA will be 20% next year, 30% for the following 4 years, 10% for the following two years, and thereafter the growth rate will be 6% indefinitely. NVDA will pay a cash dividend of $.65 per share next year. Thereafter the dividend will grow by the same rate as the company. Stockholders require a return of 16 percent on NVIDIA’s stock.
Required:
| A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q |
| 2 | ||||||||||||||||
| 3 | a) | |||||||||||||||
| 4 | Price of the stock will be the present value of the future dividends. | |||||||||||||||
| 5 | Dividend next year | $0.65 | ||||||||||||||
| 6 | Required rate of return | 16% | ||||||||||||||
| 7 | ||||||||||||||||
| 8 | Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | … | ||||
| 9 | Dividend growth rate | 20% | 30% | 30% | 30% | 30% | 10% | 10% | 6% | 6% | 6% | |||||
| 10 | Dividend | $0.65 | $0.85 | $1.10 | $1.43 | $1.86 | $2.04 | $2.25 | $2.38 | $2.52 | =J10*(1+K9) | |||||
| 11 | Terminal value = DIV8/(rs-gL) | $23.81 | =L10/(D6-L9) | |||||||||||||
| 12 | Present value of dividends | $0.56 | $0.63 | $0.70 | $0.79 | $0.88 | $0.84 | $9.22 | =(K10+K11)/((1+$D$6)^K8) | |||||||
| 13 | Price of share at Year 0 | $13.62 | =SUM(E12:K12) | |||||||||||||
| 14 | ||||||||||||||||
| 15 | Thus the price of stock is | $13.62 | ||||||||||||||
| 16 | ||||||||||||||||
| 17 | b) | |||||||||||||||
| 18 | ||||||||||||||||
| 19 | Market price of the stock is $150 whereas intrinsic value of stock is $13.60, | |||||||||||||||
| 20 | therefore the share is overpriced. | |||||||||||||||
| 21 | Hence the share should not be bought. | |||||||||||||||
| 22 | ||||||||||||||||
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