CA - IPCC. Quality Education beyond your imagination...! Solutions to Assignment Problems in Financial Management_31e
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1 CA - IPCC COURSE MATERIAL Quality Education beyond your imagination...! Solutions to Assignment Problems in Financial Management_31e Visit Mail : mastermindsinfo@ymail.com Page 1
2 Index S.No. Chapter Name No.of Assignment Problems Pages 1. Time Value of Money Capital Budgeting Advanced Concepts in Capital Budgeting Cost of Capital Capital Structure Leverages Working Capital Management Ratio Analysis Funds Flow Statement Total 74 2
3 No.1 for CA/CWA & MEC/CEC MASTER MINDS 4,000X100 Payback reciprocal 20% 20,000 SOLUTIONS TO ASSIGNMENT PROBLEMS Problem No.1 2. CAPITAL BUDGETING The above payback reciprocal provides a reasonable approximation of the internal rate of return, i.e. 19%. W.N.-1: Calculation of depreciation per annum Cost - Scrap Value Depreciation p.a. Life W.N.-2: Calculation of PAT p.a. Problem No.2 80,000 10,000 Rs.14,000 p.a. 5 Year PBDT Depreciation PBT / PAT (PBDT Dep.) 1 20,000 14,000 6, ,000 14,000 26, ,000 14,000 16, ,000 14,000 1, ,000 14,000 (9,000) Since Income tax rate is not given in the problem, PBT PAT. Step-1: Calculation of Average Profit after Tax Calculation of ARR 6, , , ,000 9,000 Average Profit after tax 5 Rs. 8,000 p.a Step-2: Calculation of Average Investment 1 Average investment ( Initial Cost - Salvage Value) + Salvage Value 2 1 ( 80,000-10,000) + 10,000 Rs.45,000 2 Step-3: Calculation of Accounting Rate of Return (ARR) (Return on Avg. Capital Employed) ARR AveragePAT 8,000 x % Average investment 45,000 Step-4: Return on Original Capital employed Average PAT 8,000 Return on Original Capital employed x100 x100 10% Orginal Investment 80,000 IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 3
4 Ph: W.N. 1: Calculation of depreciation per annum Problem No.3 Depreciation p.a. Cost - Scrap Value Life 80,000 0 Rs.16,000 p.a. 5 Calculation of NPV using Incremental approach Step-1: Calculation of Present Value of Cash Outflows: Particulars Amount Investment in new equipment 80,000 Additional working capital 1,50,000 Total 2,30,000 Step-2: Calculation of Present Value of Operating Cash Inflows: Incremental net cash in flow Less: additional wages Depreciation(w.n.1) Incremental PBT Less: 40 % Incremental PAT Add: depreciation Incremental CFAT p.a Particulars Amount Rs. Amount Rs. Therefore, Present Value of Operating Cash Inflows 42,000 X PVAF(13%,5) 42,400 X ,49,120 40,000 16,000 Step 3: Present Value of Terminal Cash Inflows Gsp or Nsp on sale of initial equipment 0 Recovery of additional working capital 1,50,000 1,50,000 PV there off 1,50,000 * PVF (13%, 5) 1,50,000 X ,450 To MASTER MINDS, Guntur Step 4: Calculation of NPV NPV PV of cash inflows PV of cash outflows PV of Operating Cash Inflows +PV of Terminal Cash Inflows PV of cash outflows. 1,49, ,450-2,30,000 Rs.570 Conclusion: Since NPV is positive it is advisable to accept. 1,00,000 56,000 44,000 17,600 26,400 16,000 42,400 IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 4
5 No.1 for CA/CWA & MEC/CEC MASTER MINDS Problem No.4 W.N 1: Calculation of depreciation p.a. (Rs. in Lakhs) Depreciation p.a. Cost - Scrap Value Life 10 1 On supplementary equipment 1.5 lakhs pa Rs lakhs p.a. 8 Calculation of NPV using Incremental approach Step-1: Calculation of Present Value of Cash Outflows: Cost of initial equipment Cost of additional working capital Less: tax free subsidy from government Particulars Add: cost of supplementary equipment - 10 Present value there off - 10* pvf ( 12%, 2 ) - 10* Present value of cash out flows Amount Step-2: Calculation of Present Value of Operating Cash Inflows Selling price per unit 100 Less: - variable 40% 40 Contribution per unit 60 Particulars Y 1 Y 2 Y 3 to 5 Y 6 to 8 a. Sales volume (lakhs of unit) b. Total contribution ( a * Rs. 60 per unit) c. Fixed cost d. Advertisement cost e. Depreciation (WN 1) ( ) 19 f. PBF (b-c-d-e) (loss) (15.5) g. 50% (7.75) h. PAT (f-g) (7.75) i. CFAT (h+e) j. 12 % k. Present value Therefore, Present Value of Operating Cash Inflows Rs Present value factor for years 3 to 5 PVF (12%, 3) + PVF (12%, 4) + PVF (12%, 5) (or) PVAF (12%, 5) - PVAF (12%, 2) To MASTER MINDS, Guntur IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 5
6 Ph: Present value factor for years 6 to 8 PVF ( 12%, 6) + PVF (12%, 7) + PVF (12%, 8) (or) PVAF(12%, 8) - PVAF (12%, 5) Step-3: Present Value of Terminal Cash Inflows Gsp or Nsp on sale of initial equipment - 0 Gsp or Nsp on sale of supplementary equipment - 1 Recovery of working capital Pv there off 16 * PVF (12%, 8) 16 * Step-4: Calculation of NPV NPV PV of cash inflows PV of cash outflows PV of Operating Cash Inflows +PV of Terminal Cash Inflows PV of cash outflows Rs Conclusion: Since NPV is positive it is advisable to accept the project. Note: It is given that the company has other profitable businesses and the loss from one business can be set off against profit of other business. Alternatively it can also be assumed that the loss is carried forward and setoff against future profit. Problem No.5 Calculation of NPV To MASTER MINDS, Guntur a. Step 1: Calculation of Present Value of Cash Outflows: Particulars Amount Cost of machinery 4,00,000 Present Value of Cash Outflows 4,00,000 Step 2: Calculation of Present Value of Operating Cash Inflows: Particulars a. Sales volume b. Contribution per unit (10-6) c. Total contribution (axb) d. Fixed cost e. CFAT (c-d) Amount 40,000 units Rs.4 1,60,000 20,000 1,40,000 p.a PV thereof 1,40,000 X PVAF(15%,6) 1,40,000 X ,29,760 IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 6
7 No.1 for CA/CWA & MEC/CEC MASTER MINDS Step-3: Present Value of Terminal Cash Inflows G.S.P/N.S.P on sale of machinery 20,000 PV thereof 20,000 X PVF(15%,6) 20,000 X ,640 Step-4: Calculation of NPV NPV PV of cash inflows PV of cash outflows PV of Operating Cash Inflows +PV of Terminal Cash Inflows PV of cash outflows. 5,29,760+8,640-4,00,000 1,38,400 Conclusion: Since NPV is positive it is advisable to accept the project. b. Let, x represents the sale volume required to justify the project. The project is acceptable if NPV is at least equal to zero Step-1: same as above 4,00,000. Step-2: present value of operating cash inflows Particulars Amount (Rs.) a. Sales volume X unit b. Contribution per unit (10 6) 4 c. Total contribution 4X d. Fixed cost 20,000 e. CFAT (c-d) 4X-20,000 Present value there of (4X 20,000) * PVAF (15%, 6 years) (4X 20,000) *3.784 Step-3: same as above 8,640 Step-4: Finding the value of X To MASTER MINDS, Guntur Since NPV is 0 then present value of cash inflows present value of cash outflows present value of operating cash inflows + present value of terminal cash inflows present value of cash out flows (4X 20,000) * ,640 4,00,000 (4X 20,000) 1,03,424 4X 1,23,424 X Given information: 30,856 units pa Problem No.6 Project Investment NPV A 1,00,000 1, B 1,50,000 45,000 A&B 2,50,000 2,00,000 C 1,50,000 90,000 IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 7
8 Ph: a. Selection of the projects if the firm has no budget constraint: Given that all the projects have positive NPV therefore it is beneficial to select all the projects I.e A,B & C. b. Selection of projects if there is a budget constraint of 2,50,000: Combination NPV A&B 2,00,000 A&C 2,15,000(1,25,000+90,000) Since NPV is more in case of projects A&C, it is beneficial to invest in project A&C. Problem No.7 W.N - 1: Calculation of depreciation per annum Cost of Machinery 2,50,000 Less: Salvage value 30,000 Depreciable amount 2,20,000 To MASTER MINDS, Guntur Sum of the years digits Dep. for 1 st year 2,20,000 x 10 Rs.40,000 2 nd 2, 20, 000 year x Rs.36,000 3 rd year 2,20,000 x 8 Rs. 32,000 4 th 2,20,000 year x Rs. 8,000 5 th year 2,20,000 x 6 55 Rs.24,000 W.D.V at the end of 5th year Cost depreciation 2,50,000 1,60,000 Rs. 90,000 Book value of machine after capital expenditure 90, ,000 Rs. 1,50,000 Depreciable amount from 6th to 10th year 1,50,000 30,000 Rs. 1,20,000 Sum of the years digits Dep. for 6 th 1,20,000 year x 5 Rs. 40,000 7 th 1, 20,000 year x 4 Rs. 32, th 1,20,000 year x 3 Rs. 24,000 9 th 1,20,000 year x 2 Rs. 16, th 1, 20, 000 year x1 Rs. 8, Calculation of NPV Step-1: Calculation of Present Value of Cash Outflows Particulars Cost of Machinery Add: Working capital Add: Cost of Additional equipment [60,000 x PVF (20%, 5y)] Amount 2,50,000 50,000 24,120 Present value of Cash Outflows 3,24,120 IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 8
9 No.1 for CA/CWA & MEC/CEC Step-2: Calculation of Present Value of Operating Cash Inflows. MASTER MINDS (Rs. in Lakhs) Particulars Y 1 Y 2 Y 3 Y 4 Y 5 Y 6 Y 7 Y 8 Y 9 Y 10 PBDT Less: Dep.(W.N-1) P.B.T Less: 40% P.A.T Add:Depreciation C.F.A.T. X P.V.F (20%, n) L 0.24 L P.Value Therefore, Present Value of operating cash inflows Rs.3,04,498 Step-3: Calculation of Present Value of Terminal Cash Inflows (At the end of the project) Particulars G.S.P/N.S.P on sale of machinery Add: Recovery of working capital Amount 30,000 50,000 Total of Terminal Cash Inflows 80,000 Present Value thereof 80,000 X PVF (20%, 10y) 80,000 X Rs.12,960 Step-4: Calculation of NPV NPV PV of cash inflows PV of cash outflows PV of Operating Cash Inflows + PV of Terminal Cash Inflows PV of Cash Outflows 3,04, ,960 3,24,120 - Rs Conclusion: Since NPV is negative it is not advisable for the company to accept the project. Assumptions: Cash flows are assumed to accrue at the end of each year. Interim cash inflows at the end of each year are assumed to be reinvested at the rate of cost of capital. Cash flows given in the problem are assumed to be certain. Problem No.8 To MASTER MINDS, Calculation of IRR: (Single out flow & multiple even cash inflows) From the given information, PVA 36,000 periodic payment 11,200 term of annuity 5 years We know that, PVA P.P X PVAF (r%, 5 yrs) 36,000 11,200 X PVAF PVAF Trace the PVAF in the PVAF table against 5 years Therefore IRR 17% approximately IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 9
10 Ph: Step-1: Calculation of Pay Back Period Problem No. 9 (Rs. In Lakhs) Year Machine A Machine B CFAT Accumulated CFAT CFAT Accumulated CFAT Pay Back Period Years Since Pay Back Period is less for Machine A, it is beneficial to purchase Machine A. Step-2: Present Value of Cash Out flows years Particulars Amount Cost of Machinery Present Value of Cash Outflows 5,00,000 5,00,000 Step-3: Present Value of Operating Cash Inflows Year Machine A Machine B CFAT 10% PV Y 1 Y 2 Y 3 Y 4 Y 5 Y 1 Y 2 Y 3 Y 4 Y Present Value there of for Machine A Present Value there of for Machine B Step-4: Present Value of Terminal Cash Inflows - Nil Step-5: Calculation of NPV and Profitability Index Particulars Machine A Machine B Present Value of cash inflows Present Value of cash outflows 10% Profitability Index (P.V of Cash Inflows / Cash Outflows) (5.0) Since NPV and P.I. are higher for Machine A, it is beneficial to purchase Machine A. Step-6: Calculation of I.R.R for Machine A (5.0) Year Cash flow % 24% PVF P V PVF P V (5.0) (5.0) IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 10
11 No.1 for CA/CWA & MEC/CEC MASTER MINDS NPV 0.21 (0.21) Using Interpolation IRR L l + NPV@L 1 NPV@L 1 NPV@ L 2 Step-7: Calculation of IRR for Machine B (L 2 L 1 ) 20 + ( 4) 22%. Year Cash flow % 20% PVF P V PVF P V (5.0) (5.0) (0.13) Using Interpolation IRR L l + NPV@L 1 NPV@L 1 NPV@ L 2 (L 2 L 1 ) % 19.04% To MASTER MINDS, Since IRR is high for Machine A, it is beneficial to purchase Machine A. Step-8: Calculation of Average Rate of Return Particulars Machine A Machine B Cost Scrap 1. Depreciation Life 2. Average Investment 1 Initial Investment Scrap + Scrap + 2 ( ) Add.W/cap 3. Average PAT. p.a. (Avg CFAT Depreciation) 1,00,000 1,00,000 2,50,000 2,50,000 70, , Average Rate of Return (3) / (2) 0.28 (70,000/2,50,000) 0.32 (80,000/2,50,000) Since machines are mutually exclusive and A.R.R. is high for Machine B, it is beneficial to purchase Machine B. Conclusion: In all the above cases except in the case of A.R.R - purchase of Machine - A is beneficial. IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 11
12 Ph: Assumptions: 1. For Pay back period: Cash flows are assumed to accrue evenly throughout the year. 2. For NPV Cash flows are assumed to accrue at the end of each year. Interim cash inflows at the end of each year are assumed to be reinvested at the rate of cost of capital. Cash flows given in the problem are assumed to be certain. To MASTER MINDS, 3. For IRR Cash flows are assumed to accrue at the end of each year. Interim cash inflows at the end of each year are assumed to be reinvested at the rate of IRR. Cash flows given in the problem are assumed to be certain. Step-1: Calculation of CFAT p. a Estimated savings in cost Estimated savings in Wages Less: Additional cost of maintenance Additional cost of supervision Problem No. 10 Particulars Machine X Machine Y 500 6, , ,000 1,000 1,800 CFAT p.a 4,500 6,000 Step-2: Calculation of Pay back period Particulars Machine X Machine Y Payback period Initial Investment CFAT yrs yrs Assumption: The two machines are mutually exclusive. Conclusion: It is beneficial to select the machine with least pay back period i.e. Machine X. Problem No.11 (a) (i) Payback Period Project A: 10,000/10,00 Project B: 10,000/7,500 Project C: 2 years + Project D: 1 year. 1 year 1 1/3 years. 10,000 6,000 12, years (ii) ARR (10,000 10,000)1/ 2 Project A: 0 (10,000)1/ 2 To MASTER MINDS, Guntur IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 12
13 No.1 for CA/CWA & MEC/CEC (15,000 10,000)1/ 2 2,500 Project B: 50% (10,000)1/ 2 5,000 (18,000 10,000)1/ 3 2,667 Project C: 53% (10,000)1/ 2 5,000 (16,000 10,000)1/ 3 2,000 Project D: 40% (10,000)1/ 2 5,000 MASTER MINDS To MASTER MINDS, Guntur Note: This net cash proceed includes recovery of investment also. Therefore, net cash earnings are found by deducting initial investment. (iii) IRR Project A: Project B: Project C: The net cash proceeds in year 1 are just equal to investment. Therefore, r 0% This project produces an annuity of Rs.7,500 for two years. Therefore, the required PVAF is: 10,000/7, This factor is found under 32% column. Therefore, r 32% Since cash flows are uneven, the trail and error method will be followed. Using 20% rate of discount the NPV is + Rs.1,389. At 30% rate of discount, the NPV is Rs.633. The true rate of return should be less than 30%. At 27% rate of discount it is found that the NPV is Rs.86 and at 26% + Rs.105. Through interpolation, we find r 26.5% Project D: In this case also by using the trail and error method, it is found that at 37.6% rate of discount NPV becomes almost zero. Therefore, r 37.6% (iv) NPV Project A: at 10% -10,000+10,000x at 30% -10,000+10,000x ,310 Project B: at 10% -10,000+7,500( ) 3,013 at 30% -10,000+7,500( ) +208 Project C: at 10% -10,000+2,000x ,000x ,000x ,134 at 30% -10,000+2,000x ,000x ,000x Project D: at 10% -10,000+10,000x ,000x( ) +3,821 at 30% -10,000+10,000x ,000x( ) +831 The Project are ranked as follows according to the various methods: Ranks Projects PB ARR IRR NPV (10%) NPV (30% A B C D IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 13
14 Ph: (b) Payback and ARR are theoretically unsound method for choosing between the investment projects. Between the two time-adjusted (DCF) investment criteria, NPV and IRR, NPV gives consistent results. If the projects are independent (and there is no capital rationing), either IRR or NPV can be used since the same set of projects will be accepted by any of the methods. In the present case, except Project A all the three projects should be accepted if the discount rate is 10%. Only Projects B and D should be undertaken if the discount rate is 30%. If it is assumed that the projects are mutually exclusive, then under the assumption of 30% discount rate, the choice is between B and D (A and C are unprofitable). Both criteria IRR and NPV give the same results D is the best. Under the assumption of 10% discount rate, ranking according to IRR and NPV conflict (except for Project A). If the IRR rule is followed, Project D should be accepted. But the NPV rule tells that Project C is the best. The NPV rule generally gives consistent results in conformity with the wealth maximization principle. Therefore, Project C should be accepted following the NPV rule. Problem No.12 (a) Payback Period Method: A 5 + (500/900) 5.5 years B 5 + (500/1200) 5.4 years C 2 + (1000/2000) 2.5 years Net Present Value: NPV A (- 5000) + ( ) (5000) Rs NPV B is calculated as follows: Year Cash flow (Rs.) 10% discount factor Present value (Rs.) 0 (5,000) (5,000) , , , , , , , NPV C (-5000) + ( ) + ( ) Rs.657 Internal Rate of Return If NPV A 0, present value factor of IRR over 10 years 5000/ From tables, IRR A 12 per cent. To MASTER MINDS, Guntur IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 14
15 No.1 for CA/CWA & MEC/CEC MASTER MINDS IRR B Year Cash flow (Rs.) 10% discount factor Present value (Rs.) 20% discount factor Present value (Rs.) 0 (5,000) (5,000) (5,000) , , , , , , , ,591 (776) 1,591x10 Interpolating: IRR B per cent (1, ) IRR C Year Cash flow (Rs.) 15% discount factor Present value (Rs.) 18% discount factor Present value (Rs.) 0 (5,000) (5,000) (5,000) 1 2, , , , , , , , , , x3 Interpolating: IRR C per cent ( ) Accounting Rate of Return 5,000 ARR A : Average capital employed Rs.2,500 2 ( 9,000 5,000) Average accounting profit Rs (400x100) ARR A 16 per cent 2,500 ( 11,500 5,000) ARR B : Average accounting profit Rs (650x100) ARR B 26 per cent 2,500 ( 7,000 5,000) ARR C Average accounting profit Rs (500x100) ARR C 20 per cent 2,500 IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 15
16 Ph: (b) Summary of Results Project A B C Payback (years) ARR (%) IRR (%) NPV (Rs.) , Comparison of Rankings Method Payback ARR IRR NPV 1 C B B B 2 B C C C 3 A A A A Calculation of NPV & IRR: Year Using interpolation, Cash flow Problem No.13 NPV at the rate of 12% NPV at the rate of 13% PV PV 0 (35,00,000) 1 (35,00,000) 1 (35,00,000) ,00, ,37, ,74, ,00, ,83, ,71, ,00, ,53, ,40,000 NPV 74,000 (14,500) IRR l1 + (l2 l1) 74,000 12% + (13% 12%) 88, % 1 2 To MASTER MINDS, Guntur Since NPV is positive, it is beneficial for the company to accept the proposal. Since IRR is > cost of capital, it is beneficial for the company to accept the proposal. Problem No Computation of Net Present Values of Projects: Year Project A Rs. (1) Cash flows Project B Rs. (2) (3) Discounting 16% Project A Rs. (3) x (1) Discounted Cash flow Project B Rs. (3) x (2) 0 1,35,000 2,40, ,35,000 2,40, , , ,000 84, ,290 62,412 IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 16
17 No.1 for CA/CWA & MEC/CEC MASTER MINDS 3 1,32,000 96, ,612 61, ,000 1,02, ,368 56, ,000 90, ,984 42,840 Net present value 58,254 34, Computation of Cumulative Present Values of Projects Cash inflows: Project A Project B Year PV of cash Cumulative PV of Cumulative inflows PV cash inflows PV Rs. Rs. Rs. Rs ,720 51, ,290 22,290 62,412 1,14, ,612 1,06,902 61,536 1,75, ,368 1,53,270 56,304 2,31, ,984 1,93,254 42,840 2,74,812 (i) Discounted payback period: (Refer to Working note 2) Cost of Project A Rs.1,35,000 Cost of Project B Rs.2,40,000 Cumulative PV of cash inflows of Project A after 4 years Rs.1,53,270 Cumulative PV of cash inflows of Project B after 5 years Rs.2,74,812 A comparison of projects cost with their cumulative PV clearly shows that the project A s cost will be recovered in less than 4 years and that of project B in less than 5 years. The exact duration of discounted pay back period can be computed as follows: Excess PV of cash inflows over the Project A Project B 18,270 34,812 Project cost (Rs.) (Rs.1,53,270 Rs.1,35,000) (Rs.1,53,270 Rs.1,35,000) Computation of period required To recover excess amount of cumulative PV over project cost (Refer to Working note2) (Rs.18,270 / Rs.46,368) 0.39 year 0.81 years (Rs.34,812 / Rs.42,840) Discounted payback period 3.61 year 4.19 years Sumofdiscountcashinf lows (ii) Profitability Index : initiancashoutlay Profitability Index (for Project A) Rs.1,93,254 Rs.1,35,000 Profitability Index (for Project B) Rs.2,74,812 Rs.2,40,000 (iii) Net present value (for Project A) Rs.58,254 (Refer to Working note 1) Net present value (for Project B) Rs.34,812 ( years (5 0.81) years IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 17
18 Ph: Problem No.15 Advise to the Hospital Management: Sales Revenue Less: Operating Cost Less: Depreciation (80,000 6,000)/8 Net Income 30% Earnings after Tax (EAT) Add: Depreciation Cash inflow after tax per annum Less: Loss of Commission Income Net Cash inflow after tax per annum In 8th Year : New Cash inflow after tax Add: Salvage Value of Machine Net Cash inflow in year 8 Determination of Cash inflows Amount 40,000 7,500 32,500 9,250 23,250 6,975 16,275 9,250 25,525 12,000 13,525 13,525 6,000 19,525 Calculation of Net Present Value (NPV): 1 to 7 8 Year CFAT PV Less: Cash Outflows 13,525 19,525 NPV Present Value of Cash inflows 65, , , , (5,055.64) Sum of discounted cash inflows 74, Profitabil ity Index Present value of cash outflows 80,000 Advise: Since the net present value is negative and profitability index is also less than 1, therefore, the hospital should not purchase the diagnostic machine. Note: Since the tax rate is not mentioned in the question, therefore, it is assumed to be 30 percent in the given solution. (i) Payback Period of Projects Problem No.16 Particulars C 0 C 1 C 2 C 3 A (10,000) 6,000 2,000 2,000 3 years B (10,000) 2,500 2,500 5,000 3 years C (3,500) 1,500 2,500 1 year and 9.6 months D (3,000) 0 0 3,000 3 years 12 i.e. x2, 000 2,500 (ii) If standard payback period is 2 years, Project C is the only acceptable project. But if standard payback period is 3 years, all the four projects are acceptable. IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 18
19 No.1 for CA/CWA & MEC/CEC MASTER MINDS (iii) Discounted Payback Period (Cash flows discounted at 10%) A 10, , , , , years + x1,390 3 years and 2 months 8,196 B 10, , , , , years + x1, years and 4.6 months 5, C 3, , , , years + x years and 2.25 months D 3, , , years + x years and 2.18 months 4,098 If standard discounted payback period is 2 years, no project is acceptable on discounted payback period criterion. If standard discounted payback period is 3 years, Project C is acceptable on discounted payback period criterion. Problem No.17 Recommendations regarding Two Alternative Proposals: (i) Net Present Value Method: Computation of Present Value Project A Rs.4,00,000 x Rs.15,16,400 Project B Rs.5,80,000 x Rs.21,98,780 Computation of Net Present Value: Project A Rs.15,16,400 12,00,000 Rs.3,16,400 Project B Rs.21,98,780 18,00,000 Rs.3,98,780 Advise: Since the net present value of Project B is higher than that of Project A, therefore, Project B should be selected. (ii) Present Value Index Method: Pr esentvalueofcashinf low Present Value Index InitialInvestment 15,16,400 Project A 12,00, ,98,780 Project B 18,00, To MASTER MINDS, Guntur Advise: Since the present value index of Project A is higher than that of Project B, therefore, Project A should be selected. IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 19
20 Ph: (iii) Internal Rate of Return (IRR): Project A: InitialInvestment 12,00,000 P.V. Factor 3 AnnualCashInflow 4,00,000 PV factor falls between 18% and 20% Present Value of cash inflow at 18% and 20% will be: Present Value at 18% x 4,00,000 12,50,800 Present Value at 20% x 4,00,000 11,96,400 12,50,800 12,00,000 IRR 18 + x(20 18) 12,50,800 11,96,400 50, x2 54, % To MASTER MINDS, Guntur Project B: 18,00,000 P.V. Factor ,80,000 Present Value of cash inflow at 18% and 20% will be: Present Value at 18% x 5,80,000 18,13,660 Present Value at 20% x 5,80,000 17,34,780 18,13,660 18,00,000 IRR 18 + x(20 18) 18,13,660 17,34,780 13, x2 78, % Advise: Since the internal rate of return of Project A is higher than that of Project B, therefore, Project A should be selected. Problem No.18 Working notes: Depreciation on machine. X Depreciation on machine. Y Cost Cost - Scrap Value Life - Scrap Value Life 1,50,000 Rs.30, ,40,000 Rs.40,000 6 Annual savings: Wages Scrap Total savings(a) Particulars Machine X Machine Y 90,000 10,000 1,00,000 1,20,000 15,000 1,35,000 Annual estimated cash cost: Indirect material Supervision Maintenance Total cash cost(b) 6,000 12,000 7,000 25,000 8,000 16,000 11,000 35,000 IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 20
21 No.1 for CA/CWA & MEC/CEC Annual cash savings(a-b) Less: depreciation Annual savings before tax Less: 30 % Annual profit after tax Add: depreciation Annual cash in flows 75,000 30,000 45,000 13,500 31,500 30,000 MASTER MINDS 1,00,000 40,000 60,000 18,000 42,000 40,000 61,500 82,000 Evaluation of alternatives: (i) ARR average annual net savings Average investment 31,500 Machine X x100 42% 75,000 42,000 Machine Y x100 35% 1,20,000 To MASTER MINDS, Guntur Decision: Machine X is better. [Note: ARR can be computed alternatively taking initial investment as the basis forcomputation (ARR Average Annual Net Income/Initial Investment). The value ofarr for Machines X and Y would then change accordingly as 21% and 17.5%respectively] (ii) Present Value Index Method Present Value of Cash Inflow Annual Cash Inflow x P.V. 10% Machine X 61,500 x 3.79 Rs.2,33,085 Machine Y 82,000 x Rs.3,57,028 P.V index present value of cash inflow Investment 2,33,085 Machine X ,50,000 3,57,028 Machine Y ,40,000 Decision: Machine X is better. Project Present Value of Cash Inflows Problem No.19 PART A Initial cash outlay NPV P.I Ranking as per NPV Ranking as per P.I A 1,87,600 x PVAF (12%, 2y ) ,00,000 17, IV V B 66,000 x PVAF (12%, 5y ) 2,37,930 2,00,000 37, III III C 1,00,000 x PVAF (12%, 3y) 2,40,200 2,00,000 40, II II D 20,000 x PVAF (12%, 9y) 1,06,560 1,00,000 6, V IV E 66,000 x PVAF (12%, 10y) 3,72,900 3,00,000 72, I I IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 21
22 Ph: PART B All the projects have positive NPV. So, we can accept all the projects subject to availability of funds. It is also given that the company is having limited funds of Rs.4,00,000 and we need Rs.11,00,000 to invest in all the projects. So, it is required to do capital rationing. Capital Rationing, assuming that the projects are divisible Project Cash Outflow NPV Surplus funds E 3,00,000 72,900 1,00,000 C 1,00,000 40,200 20,100 x1,00,000 2,00,000 - Total 93,000 - PART - C All the projects have positive NPV. To accept all the projects we need initial investment of Rs.11,00,000. But the available funds are just Rs.5,00,000. Therefore, it is necessary to do capital rationing. Assumptions: Capital Rationing, assuming that the projects are divisible Project Cash outlay NPV Surplus funds E 3,00,000 72,900 2,00,000 C 2,00,000 40, Total 1,13,100 Perfect linear relationship is assumed to exist between inflows and outflows. In other words, NPV changes proportionately to changes in investment. It is assumed that there is scarcity of funds in the current year only. In other words, there is no scarcity of funds in subsequent years. The given projects are mutually independent. A project can be accepted only once. A project can either be accepted now or rejected. In other words, there is no question of postponement. THE END IPCC_31e_F.M_ Capital Budgeting_Assignment Solutions 22
23 No.1 for CA/CWA & MEC/CEC MASTER MINDS 3. ADVANCED CAPITAL BUDGETING SOLUTIONS TO ASSIGNMENT PROBLEMS PROBLEM NO.1 Calculation of NPV: X Y Step 1: PV of Initial Cash out flow 10,000 10,000 Step 2: PV of Operating cash inflows Year Cash flows PV 10% X Y X Y 1 2,000 10, ,818 9, ,000 3, ,304 2, ,000 3, ,012 2,253 14,134 13,821 Step 3: NPV PV of Cash outflows PV of Cash inflows Project X NPV 14,134 10,000 4,134 Project Y NPV 13,821 10,000 3,821 Calculation of IRR: Project X: Year Cash flows NPV at the 1 st guess rate of 26% NPV at the 2 nd guess rate of 27% 26% PV 27% PV 0-10, , ,00 1 2, , , , , , , , ,856 NPV Using Interpolation, IRR 26% + (27% 26%) % % Project Y: Year Cash flows NPV at the 1 st guess rate of 37% NPV at the 2 nd guess rate of 38% 37% PV 38% PV 0-10, , , , , , , , , , , ,143 NPV Using Interpolation, IRR 37 + (38% - 37%) % IPCC_31e_F.M_Capital Budgeting_Assignment Solutions 23
24 Ph: Project X Project Y NPV 4,134 2,821 IRR % % According to NPV Project X is preferable. According to IRR Project Y is preferable. Hence there is a conflict between NPV & IRR. Reasons for Conflict: i. Projects are mutually Exclusive ii. Cash flow disparity or time disparity iii. Disparity in reinvestment rates. The main objective of financial management is to maximize the shareholders wealth. NPLV ranks the proposal on the basis of this objective. Hence the project is selected on the preference made by NPV i.e. Project X PROBLEM NO.2 i. Estimation of net present value (NPV) of the Project P and J using 15% as the hurdle rate: NPV of Project P : 13,000 8,000 14,000 12,000 11,000 15,000-40, (1.15) (1.15) (1.15) (1.15) (1.15) (1.15) - 40, , , , , , , Rs. 5, OR Rs. 5,376 NPV of Project J : 7,000 13,000 12,000-20, (1.15) (1.15) (1.15) - 20, , , , Rs. 3, To MASTER MINDS, Guntur ii. Estimation of internal rate of return (IRR) of the Project P and J : Internal rate of return r (IRR) is that rate at which the sum of cash inflows afterdiscounting equals to the discounted cash out flows. The value of r in the case of givenprojects can be determined by using the following formula: CO 0 CF0 CF1 CFn SV + WC n + n (1+ r) (1+ r) (1+ r) (1+ r) Where Co Cash flows at the time 0 CF t Cash flows at the end of year t R Discount rate N Life of the Project SV & WC Salvage Value and working capital at the end of n years. In the case of project P the value of r (IRR) is given by the following relation: 40,000 13,000 8,000 14,000 12,000 11,000 15, (1+ r%) (1+ r%) (1+ r%) (1+ r%) (1+ r%) (1+ r%) r 19.73% IPCC_31e_F.M_Capital Budgeting_Assignment Solutions 24
25 No.1 for CA/CWA & MEC/CEC MASTER MINDS Similarly we can determine the internal rate of return for the project J. In the case of project J it comes to: r 25.20% iii. The conflict between NPV and IRR rule in the case of mutually exclusive project situation arises due to re-investment rate assumption. NPV rule assumes that intermediate cash flows are reinvested at k and IRR assumes that they are reinvested at r. The assumption of NPV rule is more realistic. iv. When there is a conflict in the project choice by using NPV and IRR criterion, we would prefer to use Equal Annualized Criterion. According to this criterion the net annual cash inflow in the case of Projects P and J respectively would be: Project P (Net present value/ cumulative present value of Re.1 for 6 years) (Rs. 5, / ) Rs. 1, Project J (Rs /2.2832) Rs Advise : Since the cash inflow per annum in the case of project J is more than that of project P, so Project J is recommended. Year Cash flow PVF PROBLEM NO.3 Calculation of NPV & IRR of Project X 10% Present Value NPV at first guess rate of 15% NPV at second guess rate of 16% IPCC_31e_F.M_Capital Budgeting_Assignment Solutions 25 PVF Present Value PVF Present Value 0 (200) 1 (200) 1 (200) 1 (200) (1.78) Using Interpolation, NPV@l IRR l1 + x(l2 l1) 15 + NPV@l2 NPV@l X (16 15) IRR % Year Cash flow PVF Calculation of NPV & IRR of Project Y 10% Present Value NPV at first guess rate of 18% PVF Present Value NPV at second guess rate of 19% PVF Present Value 0 (200) 1 (200) 1 (200) 1 (200) (0.64)
26 Ph: Using Interpolation, IRR l1 + x(l2 l1) 18 + NPV@l2 NPV@l1 IRR % X (19 18) According to NPV Project X is beneficial and according to IRR project Y is beneficial. So, there is a conflict between NPV and IRR. Reasons for this conflict: 1. Projects are mutually exclusive 2. Cash flow disparity / Time disparity 3. Difference in reinvestment rates. To MASTER MINDS, Guntur Conclusion: The objective of the financial management is to maximize the benefit to equity shareholders. NPV ranks the proposal in accordance with this objective. So it is beneficial to accept the project being preferred with highest NPV i.e. Project X. Assumptions: 1. For NPV: Cash flows are assumed to accrue at the end of each year. Interim cash inflows at the end of each year are assumed to be reinvested at the rate of cost of capital. Cash flows given in the problem are assumed to be certain. 2. For IRR: Cash flows are assumed to accrue at the end of each year. Interim cash inflows at the end of each year are assumed to be reinvested at the rate of IRR. Cash flows given in the problem are assumed to be certain. i. Calculation of Net Initial Cash Outflows: PROBLEM NO.4 Rs. Cost of new machine 10,00,000 Less: Sale proceeds of existing machine 2,00,000 Net initial cash outflows 8,00,000 ii. Calculation of annual depreciation: On old machine On new machine 3,30,000 11years Rs. 30,000 per annum. 10,00,000-40,000 Rs.1,20,000 per annum. 8 years iii. Calculation of annual cash inflows from operation: Particulars Existing machine New machine Differential (1) (2) (3) (4) (3) (2) Annual output 30,000 units 75,000 units 45,000 units Rs. Rs. Rs. A. Sales Rs.15 per unit 4,50,000 11,25,000 6,75,000 IPCC_31e_F.M_Capital Budgeting_Assignment Solutions 26
27 No.1 for CA/CWA & MEC/CEC MASTER MINDS B. Less: Cost of Operation Rs. 4 per unit 1,20,000 3,00,000 1,80,000 Labour Old 3,000 X Rs. 40 1,20,000 90,000 New 3,000 X Rs. 70 2,10,000 Indirect cash cost 50,000 65,000 15,000 Depreciation 30,000 1,20,000 90,000 Total Cost (B) 3,20,000 6,95,000 3,75,000 Profit Before Tax(A - B) 1,30,000 4,30,000 3,00,000 Less: 30% 39,000 1,29,000 90,000 Profit After tax 91,000 3,01,000 2,10,000 Add: Depreciation 30,000 1,20,000 90,000 Annual Cash Inflows 1,21,000 4,21,000 3,00,000 iv. Calculation of Net Present Value: Present value of annual net cash Inflows: 1-8 years Rs. 3,00,000 X ,90,400 Add: Present value of Salvage value of new machine at the end of 8 th year (Rs. 40,000 X 0.404) 16,160 Total present value 15,06,560 Less: Net Initial Cash outflows 8,00,000 NPV 7,06,560 Advice: Hence, existing machine should be replaced because NPV is positive. W.N-1: Calculation of depreciation per annum. Old Machine: PROBLEM NO.5 Year ,33,333 2,22,222 1,48,148 98,765 65,844 43, Depreciation d d d d d d d dd > dddddd dddddd ddedde eeeed ededd ddeee d d d d d d d New Machine: Year Depreciation L x 3 Incremental Depreciation: Year Depreciation on New Machine x 3 2,37, x 3 Depreciation on Old Machine IPCC_31e_F.M_Capital Budgeting_Assignment Solutions 27 1,58, ,37,037 x 3 Rs. 1,05, ,58,025 x 3 Incremental Depreciation 1 5,33,333 1,48,148 3,85, ,55,555 98,765 2,56, ,37,037 65,844 1,71,193
28 Ph: ,58,025 43,896 1,14, ,05,350 29,264 76,086 13,89,300 3,85,,917 10,03,384 W.N-2: Calculation of NSP of old asset as on today. Book value of old asset as on today (10,00,000 3,33,333 2,22,222) Rs. 4,44,445 It is given in the problem that the old asset will be sold at book value. GSP Book value. As a consequence there is no question of capital gains tax or tax shield. Book value GSP NSP Rs. 4,44,445 W.N-3: Calculation of NSP of old asset after 5 years GSP NSP Book value cost accumulated dep. for 7 years 10,00,000 9,41,472 Rs. 58,528 W.N-4: Calculation of NSP of new asset after 5 years. GSP NSP Book value cost - accumulated dep. for 5 years 16,00,000-13,89,301 Rs.2,10,699 Calculation of NPV using Incremental approach Step 1: Calculation of Present Value of Cash Outflows or initial investment Particulars Cost of new machine Less: NSP of old machine as on today (W.N 2) Amount 16,00,000 4,44,445 Present Value of cash outflows 11,55,555 Step 2: Calculation of Present Value of Operating Cash Inflows Particulars Y1 Y2 Y3 Y4 Y5 Incremental revenue Add: Savings in expenses 2,00,000 1,50,000 2,00,000 1,50,000 2,00,000 1,50,000 2,00,000 1,50,000 2,00,000 1,50,000 Incremental PBDT(A) 3,50,000 3,50,000 3,50,000 3,50,000 3,50,000 Less: Incremental dep. (W.N.-1) (B) 3,85,185 2,56,791 1,71,193 1,14,129 76,086 PBT (A-B) Less: 30% / (tax shield) PAT Add: Incremental Dep. (35,185) (10,555.5) (24,629.5) 3,85,185 93,209 27,963 65,246 2,56,791 1,78,807 53,642 1,25,165 1,71,193 2,35,871 70,761 1,65,110 1,14,129 2,73,914 82,174 1,91,740 76,086 CFAT 3,60, ,22,037 2,96,358 2,79,239 2,67,826 10% Present Value 3,27,745 2, 66,003 2,22,565 1,90,720 1,66,320 Present Value of operating cash inflows Rs. 11,73,353 Step 3: Calculation of Present Value of Terminal Cash Inflows (at the end of the period) NSP of new asset after 5 years 2,10,699 Less: NSP of old asset after 5 years 58,528 1,52,171 Present value there of 1,52,171 PVF (5y,10%) 1,52, Rs. 94,499 Step 4: Calculation of NPV NPV PV of cash inflows PV of cash outflows IPCC_31e_F.M_Capital Budgeting_Assignment Solutions 28
29 No.1 for CA/CWA & MEC/CEC MASTER MINDS PV of Operating Cash Inflows + PV of Terminal Cash Inflows - PV of cash outflows 11,73, ,171 11,55,555 Rs. 1,12,297 Conclusion: Since NPV is positive it is better to replace the existing machinery with new one. Assumptions: Cash flows are assumed to accrue at the end of each year. Interim cash inflows at the end of each year are assumed to be reinvested at the rate of cost of capital. Cash flows given in the problem are assumed to be certain. Calculation of NPV: PROBLEM NO.6 Step 1: PV of cash outflows (or) Initial Investment (or) Cost of heating system 4,400 Step 2: PV of operating cash inflows: Year Fuel bill Fuel 10% 14% PV 1 10,500 1, ,025 1, ,576 1, ,155 1, ,763 1, ,401 1, PV of operating cash Inflows 4,543 Step 3: PV of terminal cash inflows 0 Step 4: Calculation of NPV: NPV PV of cash inflows PV of cash outflows 4,544 4, To MASTER MINDS, Guntur Conclusion: Since NPV is +ve it is beneficial for XYZ Ltd. to replace the heating system. Note: Saving in the fuel bill is considered as the inflow (or) benefit. THE END IPCC_31e_F.M_Capital Budgeting_Assignment Solutions 29
30 Ph: COST OF CAPITAL SOLUTIONS TO ASSIGNMENT PROBLEMS Problem No.1 Coupon rate of interest 15% Issue price Rs Redemption value Rs.105 Tax rate 55% Redemption period (n) 7-years I(1- t) + (RV - B0 )/n Post tax cost of bonds (K d ) (RV + B0 )/ % To MASTER MINDS, Guntur 100X15%(1 0.55) + ( ) / 7 ( )/ 2 Problem No.2 Rate of interest 12%. Tax rate 35%. n 5 Redemption value Rs.105 Issue price Rs.90 I(1- t) + (RV - B0 )/n Post tax cost of bonds (K d ) (RV + B0 )/ % 100X12%(1 0.35) + (105 90)/ 5 ( ) / 2 Problem No.3 Calculation of post tax cost of debentures Step-1: Identification of cash flows in different years Year Repayment Tax Shield on Post Tax Net Total Principal Interest 50% cash Outflows Net sale proceeds on issue of each debenture 1, Rs.900 Step-2: Calculation of Post Tax cost of debenture Year Cash flow 10% 12% PVF Present Value PVF Present Value (249.98) (245.58) IPCC_31e_F.M_Cost of Capital_Assignment Solutions 30
31 No.1 for CA/CWA & MEC/CEC MASTER MINDS (214.76) (207.22) (183.90) (174.44) (157.09) (146.28) (133.52) (121.91) (39.34) 4.58 Using Interpolation, NPV@l1 IRR l1 + x(l2 l1) 10 + NPV@l NPV@l IRR 11.79% X (12 10) Problem No.4 Preference dividend (DPS) 100 X 15% Rs.15 Flotation cost 100 X 4% Rs.4 To MASTER MINDS, Guntur Net sale proceeds Cost of preference shares (K P ) DPS MP 0 15/ % Problem No.5 Particulars 5% discount 5% premium Face value issue price Preference dividend per share DPS Cost of preference share (K P ) MP 0 a. 10/ % b. 10/ % Ke Rf + b (Rm rrf) Problem No.6 Ke (0.15 r0.10) (0.05) Problem No.7 Market price as on today (MP 0 ) 168 Dividend per share as on today 100 X 15% Rs.15 Growth rate in dividends (g) 12% Cost of equity share capital (K e ) 15X112% DPS MP g % IPCC_31e_F.M_Cost of Capital_Assignment Solutions 31
32 Ph: Problem No.8 The current value of equity share of D Ltd. is sum of the following: i. Presently value (PV) of dividends payments during 1-4 years; and ii. Present value (PV) of expected market price at the end of the fourth year based on constant growth rate of 8 per cent. Year Dividend PV factor at 16% Total PV (in Rs.) ( ) ( ) ( ) ( ) Total 5.44 Present value of the market price ( P 4 ): end of the fourth year- P 4 D 5 / (Ke g) Rs (1.08) / (16% - 8%) Rs PV of Rs Rs x Rs Hence, Value of equity shares Rs Rs Rs Problem No.9 From the given information it is not possible to calculate cost of equity capital directly. So let us calculate IRR from investors point of view. Year Particulars Cash flow PVF@11% P.V PVF@12% P.V Purchase of share (318) 1 (318) 1 (318) Dividend Dividend Dividend Dividend Sale of shares Using interpolation, IRR l1 + X(l2 l1) IRR 11+ [( 12) ( 11) ] % To MASTER MINDS, Guntur Problem No.10 PART A Step 1: Specific cost of capital K DPS1 9. g , Kp 9%, K d 10% (1 0.50) 5% MP 102 e + 0 IPCC_31e_F.M_Cost of Capital_Assignment Solutions 32
33 No.1 for CA/CWA & MEC/CEC Step 2: WACC % MASTER MINDS PART B Step 1: Specific cost of capital K DPS1 9. g MP 96 e + 0 KP 9%,Kd 10%(1 0.5) 5% Cost of term loan 12% (1-0.5) 6% To MASTER MINDS, Guntur 5L 2L 3L 5L Step 2: WACC nearly 9% 15L 15L 15L 15L Problem No.11 Step 1: Specific cost of capital 2 X110% Ke % 27.5 I 12 X 4,00,000 Kd 15% Bo 4,00,000 x 80% Step 2: WACC based on Market value weights 8,00,000 MV of equity x (indudes all the funds belonging to equty shares) MV of debt x 80% % THE END IPCC_31e_F.M_Cost of Capital_Assignment Solutions 33
34 Ph: CAPITAL STRUCTURE SOLUTIONS TO ASSIGNMENT PROBLEMS Problem No.1 Evaluation of different capital structures given in the problem: % of debt % of equity Cost of debt(k i ) Cost of equity(k e ) WACC (K O ) 0% 100% 6% 11.5% 11.5% 10% 90% 6% 12% 6*10%+12*90%11.4% 20% 80% 6% 12% 6*20%+12*80%10.8% 30% 70% 6.5% 13% 6.5*30%+13*70%11.05% 40% 60% 7% 15% 7*40%+15*60%11.8% 50% 50% 7.5% 17% 12.25% 60% 40% 8% 20% 12.8% Decision: since the WACC is minimum 20% of debt and 80% equity represents optimum capital structure. Problem No.2 Calculation of EPS under all the three options (Rs. In Lakhs) Equity Debt Particulars Option I Option II Option III EBIT Less: Interest (2.5 X 10%) 0.25 (2.5X10%+75X15%) ( X20%) EBT Less: 50% IPCC_31e_F.M_Capital Structure_Assignment Solutions EAT /EAESH (A) No. of shares (B) EPS (A/B) Conclusion: The objective of the financial management is to maximize the benefits of equity share holders. Since EPS is maximum in option II, it is beneficial to raise the required funds of 25,00,000 as 15,00,000 through equity and 10,00,000 through debt. EBIT - Existing - New Problem No.3 Statement showing the selection of best finance option Particulars Debt Equity 31,000 15,000 31,000 15,000 Total EBIT 46,000 46,000 Less: Interest - Existing - New EBT Less: 35% (Note) 1,000 (20KX7%) 3,500 (50000X7%) 41,500 14,525 1,000 < 45,000 15,750
35 No.1 for CA/CWA & MEC/CEC MASTER MINDS EAT /EAESH (A) 26,975 29,250 No. of shares Existing - New EPS (A / B) PE ratio MP (EPS X PE ratio) 5,000-5,000 50,000 2, (B) 5,000 7, ,500 Note: Income Tax rate % 30,000 Conclusion: Since Market Price higher, in case of debt, it is the best capital structure. Problem No Calculation of interest coverage ratio (Rs. in Lakhs) Particulars Before Additional borrowings After Additional borrowings EBIT (A) (22X120%) Interest on term loan (40 X 11%) Interest on bank borrowings (30X16%) Interest on public deposit (15X12%) Interest on additional Bank borrowing IPCC_31e_F.M_Capital Structure_Assignment Solutions (25X16%) Total interest (B) Interest Coverage Ratio (A/B) 2 times 1.76 times Conclusion: The interest coverage ratio has decrease from 2 times to 1.76 times. This is not a favourable situation for money lender / creditor. Problem No.5 Evaluation of the given four financial plans on the basis of EPS (Rs. in lakhs) Particulars Option A Option B Option C Option D Existing equity share capital Fresh issue of equity Debt Preference shares Particulars Option A Option B Option C Option D EBIT Less: interest - 1.8(20*9%) 3.0(30*10%) - EBT Less: 50% EAT/EASH Less: preference dividend 1.5(20*7.5%) EAESH(A) No. of equity shares Existing(40/100) NEW 0.4(40/100) 0.2(20/100) 0.1(10/100) 0.2(20/100) Total (B) EPS (A/B)
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