In: Finance
Ratana is thinking of buying shares in Deniliquin Forestry Limited. She estimates that the required rate of return for this company is 10% per annum. She has forecast the Income Statement and Balance Sheet for the next four years, and estimates that the company can pay the following dividends:
Year 1: Nil
Year 2: 12 cents per share
Year 3: 15 cents per share
Year 4: 21 cents per share.
Longer term Ratana estimates that dividends can grow at 3% per annum. Based on these assumptions, one share in Deniliquin Forestry is worth approximately
P4 = D4*(1+g)/(r-g)
= 0.21 * 1.03/(0.10 - 0.03)
= 3.09
Thus worth of Deniliquin Forestry's share = D1/(1+r) + D2/(1+r)^2 + D3/(1+r)^3 + D4/(1+r)^4 + P4/(1+r)^4
Year (n) | Amount | 1+r | PV = Amount/(1+r)^n | |
1 | D1 | - | 1.10 | - |
2 | D2 | 0.12 | 0.10 | |
3 | D3 | 0.15 | 0.11 | |
4 | D4 | 0.21 | 0.14 | |
4 | P4 | 3.09 | 2.11 | |
Total | 2.47 |
Thus one share in Deniliquin Forestry is worth $2.47