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Equity Investments【Reading 52】Sample
An analyst gathered the following information about a company:- The stock is currently trading at $31.00 per share.
- Estimated growth rate for the next three years is 25%.
- Beginning in the year 4, the growth rate is expected to decline and stabilize at 8%.
- The required return for this type of company is estimated at 15%.
- The dividend in year 1 is estimated at $2.00.
The stock is undervalued by approximately:
The high “supernormal” growth in the first three years and the decrease in growth thereafter signals that we should use a combination of the multi-period and finite dividend growth models (DDM) to value the stock.
Step 1: Determine the dividend stream through year 4- D1 = $2.00 (given)
- D2 = D1 × (1 + g) = 2.00 × (1.25) = $2.50
- D3 = D2 × (1 + g) = $2.50 × (1.25) = $3.13
- D4 = D3 × (1 + g) = $3.13 × (1.08) = $3.38
Step 2: Calculate the value of the stock at the end of year 3 (using D4)- P3 = D4 / (ke – g) = $3.38 / (0.15 – 0.08) = $48.29
Step 3: Calculate the PV of each cash flow stream at ke = 15%, and sum the cash flows. Note: We suggest you clear the financial calculator memory registers before calculating the value. The present value of:- D1 = 1.74 = 2.00 / (1.15)1, or FV = -2.00, N = 1, I/Y = 15, PV = 1.74
- D2 = 1.89 = 2.50 / (1.15)2, or FV = -2.50, N = 2, I/Y = 15, PV = 1.89
- D3 = 2.06 = 3.13 / (1.15)3, or FV = -3.13, N = 3, I/Y = 15, PV = 2.06
- P3 = 31.75 = 48.29 / (1.15)3, or FV = -48.29, N = 3, I/Y = 15, PV = 31.75
- Sum of cash flows = 37.44.
- Thus, the stock is undervalued by 37.44 – 31.00 = approximately 6.40.
Note: Future values are entered in a financial calculator as negatives to ensure that the PV result is positive. It does not mean that the cash flows are negative. Also, your calculations may differ slightly due to rounding. Remember that the question asks you to select the closest answer. |
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