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APV tax shield

Aamna9y ago
hi in APV tax sheild of cheap loan needs to be calculated as follows right: interest saved due to cheap loan [(normal % - cheap loan%) x loan] (-) tax lost on the interest saved into the annuity factor right, i do not understand the method used in J13 Q1(a) " PV of the tax shield and subsidy Annuity factor (7%, 15 years) = 9·108 Annual tax shield benefit interest paid = 3% x $150m x 25% = $1·1m Subsidy benefit = 4% x $150m x (1 – 25%) = $4·5m PV of tax shield and subsidy benefit = 5·6 x 9·108 = $51·0m " i got the answer as $40.986m from the above formula why are both the answer different?
John MoffatJohn MoffatTutor9y ago#1
In general the benefit of the tax shield is the PV of the tax saving on the interest. If there is a subsidised loan then this is an extra benefit. So the benefit of the tax shield is 1.1M per year. The subsidy benefit is 4.5M per year. So the total benefit is 5.6M per year, which when discount at 7% for 15 years gives a total PV of the benefit of 51M I don't know from where you are getting 40.986M.
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