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PV

LLeonardo5y ago
Hello Sir, Please could you help me to understand the following: ASOP Co is considering an investment in new technology that will reduce operating costs through increasing energy efficiency and decreasing pollution. The new technology will cost $1 million and have a four-year life, at the end of which it will have a scrap value of $100,000. If ASOP Co bought the new technology, it would finance the purchase through a four-year loan paying interest at an annual after-tax rate of 6% Alternatively, ASOP Co could lease the new technology. The company would pay four annual lease rentals of $380,000 per year, payable in advance at the start of each year. If ASOP Co buys the new technology it can claim capital allowances on the investment on a 25% reducing balance basis. The company pays taxation in the same year as the profits at an annual rate of 30%. 1 - What is the net present value of the leasing cash flows if Asop Co lease the new technology? The answer is $1,001,000 Thank you
John MoffatJohn MoffatTutor5y ago#1
If they lease then there will be lease payments of 380,000 a year from time 0 to time 3. There will also be a tax saving of 30% x 380,000 = 114,000 a year from time 1 to time 4. Discounting at 6%, the PV of the payments is 1,395,740. The PV of the tax savings is 395,010. Therefore the NPV of the leasing flows is 395,010 - 1,395,740 = $1,000,730 ( 1,001,000 to the nearest thousand). I do explain all of this (with examples) in my free lectures on lease v buy. The lectures are a complete free course for Paper FM and cover everything needed to be able to pass the exam well.
LLeonardo5y ago#2
Thank you, I have rewatched it and it is much clearer now. Also I realised that your example is even more interesting because of the timing factor for tax. This now seems much easy than before in comparison!
John MoffatJohn MoffatTutor5y ago#3
You are welcome :-)
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