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Answer 1 a) Dividend to be received in May 2018 (in $) =Net profit for 2018 x share % x dividend pay-out ratio =600000 x 15% x 75% =67,500 Dividend to be received in May 2019 (in $) =Net profit for 2018 x (1 + growth rate) x share % x dividend pay-out ratio =600000 x (1 + 30%) x 15% x 75% =87,750 Amount required in late May 2019 (in $)=100,000 Dividend to be received in May 2019 (in $)=87,750 Remaining (in $)=100000 - 87750 =12,250 Value of 12,250 in May 2018 (in $) =Present value of 12,250 for one year at interest rate of 10% =12250 / (1 + 10%) =11,136 She can consume in May 2018 (in $)=67500 - 11136 =56,364 b) Discount rate=6% Cost of System P (in $)=200,000
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Useful life (in years)=3 Operating cost per annum (in $)=10,000 Present value annuity factor for 3 years at 6%=2.6730 Annual Equivalent cost (in $) =(Cost of system / PVAF) + operating cost =(200000 / 2.6730) + 10000 =84,822 Discount rate=6% Cost of System Q (in $)=240,000 Useful life (in years)=4 Operating cost per annum (in $)=12,000 Present value annuity factor for 4 years at 6%=3.4651 Annual Equivalent cost (in $) =(Cost of system / PVAF) + operating cost =(240000 / 3.4651) + 12000 =81,262 Since AEC of system Q is less than that of system P. System Q should be selected. c) Face value of Notes (in $)=1,000.00 Coupon rate per annum=14% Interest amount (in $)=Face value x coupon rate =1000 x 14% =140.00
Required rate of return=18% As per details given in the question, payment will be done as given below. ParticularsAmount ($) Payment year no. Interest of May-19 paid in May-23140.005 Interest of May-20 paid in May-23140.005 Interest of May-21 paid in May-21140.003 Interest of May-22 paid in May-22140.004 Interest of May-23 paid in May-23140.005 Repayment1,000.005 Yea rAmountPVFPV 3140.000.608685.21 4140.000.515872.21 51,420.000.4371620.70 778.11 Current value of each unsecured note (in $)=778.11 Answer 4 a) Tax rate=30% Cost of capital=10% Working capital requirement (in $)=30,000 New Trucks Cost of each truck (in $)=500,000 Total cost of truck (in $)=Cost of each truck x 2 =500000 x 2
=1,000,000 Useful life of new trucks (in years)=4 Total depreciation on new trucks (in $)=1000000 / 4 =250,000.00 Total salvage value new trucks (in $)=150000 x 2 =300,000 Savings in storage costs (in $)=50,000 Savings in labour costs (in $)=200,000 Tax deductible expenses in year 2 (in $)=40,000 Tax deductible expenses in year 3 (in $)=50,000 Old Trucks Carrying value of old trucks (in $)=Cost of truck x 3 x (1 - 20%) =250000 x 3 x (1 - 20%) =600,000 Sale price of old trucks (in $)=100000 x 3 =300,000 Initial cash outflow (in $)=Working capital + cost of new trucks =30000 + 1000000 =1,030,000 Loss on sale of old trucks (in $) =Carrying value of old trucks - Sale price of old trucks =600000 - 300000 =300,000
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Tax savings on loss (in $)=300000 x 30% =90,000 Net cash outflow on sale of old trucks (in $) =Loss on sale of old trucks - tax savings =300000 - 90000 =210,000 Profit on sale of old trucks (in $) =Sale price of old trucks - Carrying value of old trucks =300000 - 0 =300000 Tax on profit (in $)=300000 x 30% =90,000 Net cash inflow on sale of new trucks (in $) =Profit on sale of old trucks - tax on profit =300000 - 90000 =210,000 Total terminal cash inflow =Working capital - Net cash outflow on sale of old trucks + Net cash inflow on sale of new trucks =30000 - 210000 + 210000 =30,000 Year1234 Savings in storage costs50,00050,00050,00050,000 Savings in labour costs200,000200,000200,000200,000 Less: Depreciation-250,000-250,000-250,000-250,000 Less: Overhauling expenses-40,000-50,000 Profit before tax--40,000-50,000- Add: Tax savings-12,00015,000- Net profit--28,000-35,000-
Add: Depreciation250,000250,000250,000250,000 Cash flow from operations250,000222,000215,000250,000 YearCash flowPVFPV 0-1,030,0001.0000- 1,030,000.00 1250,0000.9091227,272.73 2222,0000.8264183,471.07 3215,0000.7513161,532.68 4280,0000.6830191,243.77 -266,479.75 Net Present Value (in $)=-266,479.75 b) No. Company should not buy new trucks. Company should not accept this proposal because NPV is negative. It means there will be loss of $266,479.75 on purchase of new trucks given the existingcircumstances.