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- This topic has 3 replies, 2 voices, and was last updated 4 years ago by John Moffat.
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- August 22, 2020 at 8:15 pm #581546
Hello, sir!
A question about APV. We usually use the NPV if all equity finance + tax shield technique.
Could we use the MM formula and WACC to get the APV?For example:
A project costing $100,000 is to be finance by $60,000 of irredeemable 12% loan stock and $40,000 of new equity. The project will yield an after-tax annual cash flow of $21,000 in perpetuity. If it were all equity financed, an appropriate cost of capital would be 15%. The tax rate is 30%. What is the project`s APV?My calculations are:
Ke = 15% + (1-30%)*(15%-12%)60/40 = 18,15%
WACC = 40/100*18,15% + 60/100*12%*0,7 = 12,3%
APV = $21000/12,3% – $100000 = $70 731.
Wich does not equal to the correct answer, using the NPV if all equity finance + tax shield technique:
NPV if all equity finance = $21,000/0,15-100000 = 40,000
PV of tax shield = $60,000*12%*30%/0,12 = 18,000
APV = 58,000Thank you in advance!
August 23, 2020 at 9:20 am #581584We always (not just usually) take the NPV if all equity financed + the tax shield to get the APV.
The reason what you are doing will not give the same answer is that any gain from the project will go to equity and that will change the gearing which in turn will change the WACC and the gain. You end up going round in a circle.
August 23, 2020 at 5:01 pm #581652Thank you!
You explanations always make it so clear!
August 24, 2020 at 7:34 am #581701You are welcome 🙂
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