In: Finance
Assume that BHF Ltd has a current growth rate of 10% p.a. that is expected to be maintained for only another three years and then fall to 5% p.a., where it is expected to remain indefinitely. Given that the required return on BHF's shares is 12% and that the last dividend of 50 cents has just been paid, the price of BHF's shares will be:
Year 1 dividend = 0.5 (1 + 10%) = 0.55
Year 2 dividend = 0.55 (1 + 10%) = 0.605
Year 3 dividend = 0.605 (1 + 10%) = 0.6655
Year 4 dividend = 0.6655 (1 + 5%) = 0.69878
Value in year 3 = Year 4 dividend / required rate - growth rate
Value in year 3 = 0.69878 / 0.12 - 0.05
Value in year 3 = 0.69878 / 0.07
Value in year 3 = 9.98257
price per share = Present value of cash flows
Present value = Future value / (1 + rate)^time
Present value = 0.55 / (1 + 0.12)^1 + 0.605 / (1 + 0.12)^2 + 0.6655 / (1 + 0.12)^3 + 9.98257 / (1 + 0.12)^3
Present value = 0.49107 + 0.4823 + 0.47369 + 7.1054
Present value = $8.55