A bicycle manufacturer currently produces 356,000 units a year and expects outpu
ID: 2729972 • Letter: A
Question
A bicycle manufacturer currently produces 356,000 units a year and expects output levels to remain steady in the future. It buys chains from an outside supplier at a price of $1.90 a chain. The plant manager believes that it would be cheaper to make these chains rather than buy them. Direct in-house production costs are estimated to be only $1.60 per chain. The necessary machinery would cost $207,000 and would be obsolete after 10 years. This investment could be depreciated to zero for tax purposes using a 10-year straight-line depreciation schedule. The plant manager estimates that the operation would require additional working capital of $42,000 but argues that this sum can be ignored since it is recoverable at the end of the 10 years. Expected proceeds from scrapping the machinery after 10 years are $15,525. If the company pays tax at a rate of 35% and the opportunity cost of capital is 15%, what is the net present value of the decision to produce the chains in-house instead of purchasing them from the supplier? The annual free cash flow of 1-10= The NPV of buying the chains from FCF= The initial FCF of producing the chains= The FCF of producing the chains years 1-9= The FCF of year 10 producing the chains= The NPV of producing the chains from FCF The net present value of producing the chains in house instead of from the supplier is =
Explanation / Answer
Details Qty/Amt $ No of chains required per year 356,000 Cost of buying per chain 1.90 Cost of making chain in house 1.60 Saving per chain in making 0.30 Yearly saving from making the chain 106,800 NPV of Making the chain in House Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10 Initial Investment in machine (207,000) Investment in NWC (42,000) 42,000 Salvage 15,525 Annual saving from making 106,800 106,800 106,800 106,800 106,800 106,800 106,800 106,800 106,800 106,800 Less Depreciation (20,700) (20,700) (20,700) (20,700) (20,700) (20,700) (20,700) (20,700) (20,700) (20,700) Taxable Income 86,100 86,100 86,100 86,100 86,100 86,100 86,100 86,100 86,100 101,625 Tax @35% (30,135) (30,135) (30,135) (30,135) (30,135) (30,135) (30,135) (30,135) (30,135) (35,569) Post Tax saving 55,965 55,965 55,965 55,965 55,965 55,965 55,965 55,965 55,965 66,056 Add Back depreciation 20,700 20,700 20,700 20,700 20,700 20,700 20,700 20,700 20,700 20,700 Total Cash flow (including NWC) (249,000) 76,665 76,665 76,665 76,665 76,665 76,665 76,665 76,665 76,665 128,756 PV factor @15% 1 0.870 0.756 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 PV of Cash flows (249,000) 66,665 57,970 50,408 43,833 38,116 33,144 28,821 25,062 21,793 31,827 NPV = $ 148,640.1 So NPV of producing the chain in house= $ 148,640.1
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