CAT ltd is contemplating acquiring RAT ltd.On a successful acquisition, the incremental cashflows will be as follows: Year: 1-5 Csh Flow (In Millions):2.5 After the fifth year , cash flows are expected to growat an annual rate of 3% forever.If the appropriate discounting rate is 10%, how much should CAT Ltd pay in order to acquire RAT Ltd?
CAT Ltd must pay $31.65 Million in order to acquire RAT Ltd
Value of the Firm = Present value of annual cash inflows + Present Value of Terminal Value
Present value of annual cash inflows
= $2.50 Million x [PVIFA 10%, 5 years]
= $2.50 Million x 3.7907868
= $9.48 million
Present Value of Terminal Value
Terminal Value = Year 5 Cash Flow / [Ke – g]
= $2.50 Million / [0.10 – 0.03]
= $2.50 Million / 0.07
= $35.71 Million
Present Value of Terminal Value = Terminal Value x [PVIF 10%, 5 Year]
= $35.71 Million x 0.6209213
= $22.17 Million
"Therefore, Value of the Firm = $9.48 million + $22.17 Million = $31.65 Million"
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