4. The table below shows the projected free cash flows of an acquisition target.

Question

4. The table below shows the projected free cash flows of an acquisition target. The potential acquirer wants to estimate its maximum acquisi- tion price at an 8 percent discount rate and a terminal value in year 5 based on the perpetual growth equation with a 4 percent perpetual growth rate. Year 2 Free cash flow800 400 200 700 a. Estimate the target's maximum acquisition price. b. Estimate the target's maximum acquisition price when the discount rate is 7 percent and the perpetual growth rate is 5 percent. c. Considering your answers to parts (a) and (b) of this question, what is the percentage change in the maximum acquisition price when the discount rate is reduced one percentage point and the perpetual growth rate is increased one percentage point?

Explanation / Answer

A) Terminal value at end of year 5 = 700*1.04/(0.08-0.04) = 18200

Target's maximum acquisition price= -800/1.08 - 400/1.08^2 + 0 + 200/1.08^4 + 700/1.08^5 + 18200/1.08^5

= 11926.35

B)

Terminal value at end of year 5 = 700*1.04/(0.07-0.05) = 36400

Target's maximum acquisition price= -800/1.07 - 400/1.07^2 + 0 + 200/1.07^4 + 700/1.07^5 + 36400/1.07^5

= 25507.33

C) Percentage change in maximum acquisition price = (25507.33-11926.35)/11926.35

= 113.87%

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