Question-1 The computation of required number of pizzas to earn desired rate of return is given in the table below: A. capital invested 400,000 .00 B. Return @20% 80,000 .00 C. Fixed Cost 367,260 .00 D. Total (B+C) 447,260 .00 E. Contribution per unit3.77 F. Required number of Pizzas per year (D/E) 118, 637 G. Required number of Pizzas per week (F/52) 2, 281 The total amount of capital invested is $400,000 and a rate of return of 20% is desired on this amount which is worked out to be $80,000. Further, the total fixed cost incurred by the business is $367,260. The number of pizzas required to be sold to earn $80,000 desired return and cover the fixed cost of $367260 would be 118,637 per year or 2,281 per week. This has been arrived at dividing the total of fixed cost and desired return which is $447,260 by contribution margin per unit of $3.77. Question-2 The net income after tax in the first year of operations will be $58,542.40. The computation of net income after tax is presented in the table given below: Income statement of Franchise for year 1 ParticularsCalculationAmountAmount 2
No of Pizza sold2300 per week * 52 weeks119,600.00 A. Total RevenuesPrice $10*119600 1,196,000.0 0 B. All Variable costs Cost of goods sold $4.93 per pizzas * 119600 pizzas589,628.00 Royalty7% of 119600083,720.00 Marketing Contribution 6% of 119600071,760.00 Total745,108.00 C. Contribution (A-B)450,892.00 D. All Fixed costs Full-Time Employee Costs123,000.00 Casual Employee Costs67,392.00 On-Costs57,118.00 Store Costs (outgoings)18,000.00 Occupancy Cost (rent)48,000.00 Total313,510.00 E. EBITDA (C-D)137,382.00 Less: Interest(Loan 150000* rate 6.5%)9,750.00 Less: Depreciation(PPE 400000* rate 11%)44,000.00 Profit before tax83,632.00 Less: Tax @30%25,089.60 Net Income58,542.40 3
Question-3 The computation of free cash flows from operations is necessary to evaluate the net present value and financial viability of the project. There are two methods of computing the free cash flows such as direct and indirect. The indirect has been used in computing the free cash flows in the current case. The indirect method requires add back adjustments of non cash items and non operational items to the net income after tax (Tracy and Tracy, 2011). Accordingly, the computation of free cash flows is given as below: Net income after tax58,542.40 Add: Non cash item-Depreciation44,000.00 Add: Interest (non operational item)9,750.00 Free Cash Flows from operations 112,292.4 0 The net income is $58542.40 which has been adjusted for depreciation and interest expense to arrive at the free cash flows from operations amounting to $112,292.40. Question-4 The number of pizzas sold is expected to increase by 3% each year over the previous year figures. It will lead to increase in contribution by 3% each year. Hence net impact on the profit after tax would be increase in contribution taken net of taxes. For instance, the increase in profit of 2ndis would be as follows: 3% of Contribution of year 1 net of tax=$9,468.73 [($450,892*3%)*(1-30%)] 4
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Estimated free cash flow for next three years ParticularsYear-2Year-3Year-4 Profit after tax last year carry forward58,542.4068,011.1377,763.93 Add: 3% increase in contribution net of tax9,468.739,752.7910,045.38 Profit for the year68,011.1377,763.9387,809.30 Add: Depreciation (Being non cash expenditure44,000.0044,000.0044,000.00 Add: Interest (being non operational item)9,750.009,750.009,750.00 Free Cash Flows from operations 121,761.1 3131,513.93141,559.30 Further, it is to be ensured that the EBDITA is 33% or more of the capital employed over the period of next 3 years. For this purpose, the calculations are shown as below: Year-2Year-3Year-4 EBDITA of last year 137,382.0 0150,908.76164,841.32 Add: 3% increase in contribution13,526.7613,932.5614,350.54 EBDITA for the year 150,908.7 6164,841.32179,191.86 Capital employed 400,000.0 0400,000.00400,000.00 EBDITA % to capital employed37.73%41.21%44.80% It could be observed that EBIDTA in year 2, 3, and 4 is 37.73%, 41.21%, and 44.80% respectively. Question-5 5
Searching the Reuter’s database, the beta of Domino’s Pizza has been found to be 1.31 times which indicates that the stock of Domino’s is risky or more sensitive to the market. A change of 1% will cause change by 1.31% in the price of Domino’s stock. Further, the beta value of another giant fast food franchise Retail Food Group Limited has been found to be 1.45 times (Reuters, 2018). This shows that the stock of Retail Food Group Limited is also more sensitive to the market. A change by 1% in the market index will cause change in stock of Retail Food Group by 1.45%. Comparing Domino’s and Retail Food Group, it can be observed that Retail Food Group is riskier than Domino’s as it has higher beta. In order to work out beta for the franchise in the current case, simple average can be taken. The simple average of beta values of Domino’s and Retail Food Group is 1.38 times. This figure can be used as proxy beta for franchise being under analysis in the current case. Question-6 Determination of risk free rate of return is crucial in the capital budgeting decisions as it is used in computing the discount rate which is used in computing net present value. In order to calculate risk free rate, yield on the government bond can be used as proxy. Searching the Bloomberg database, it has been found that the 15 years government bond of Australia has a yield of 2.99% (Bloomberg, 2018). Question-7 The computation of CAPM return has been shown in the table given below: Calculation of CAPM Risk free rate2.99% Market risk premium6.50% Beta1.38 6
CAPM11.96% The capital assets pricing model provides for calculation of return with reference to risk free rate of return, beta, and market risk premium. As per the CAPM model, the investor would require a return that equals risk free rate increased by the risk premium. In the current case, the CAPM return is work out to be 11.96% which means that the investors would require at least a return of 11.96% on the amount invested. Question-8 The computation of weighted average cost of capital has been shown in the table given below: Weighted average cost of capital CostWeightProduct Equity11.96%73%8.73% Debt4.55%27%1.23% WACC9.96% The cost of equity capital has been worked out by applying the CAPM model. The cost of debt has been taken as interest rate on borrowing net of tax 4.55% [6.50%*(1-30%)]. The business is expected to be financed to the extent of 73% by equity and 27% by debt and rest 73% by equity. Thus, based on this information, the weighted average cost of capital of the business has been worked out to be 9.96%. Question-9 The calculation of net present value in the current case is shown in the table given below: 7
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Calculation of NPV Yea rCF PVF@9.96 %PV 0 (950,000.0 0)1.00 (950,000.0 0) 1 112,292.4 00.91 102,121.1 3 2 121,761.1 30.83 100,702.2 6 3 131,513.9 30.7598,916.23 4 891,559.3 00.68 609,833.5 5 NPV (38,426.83 ) It is to be noted that the initial investment involves $400,000 investment in property, plant and equipment and $550,000 being incurred in purchasing the franchise. Further, the cash inflows of 4thyear include a sum of $550000 being recovered as the terminal value of franchise. The net present value of the project is negative $38,426.83. Question-10 The advice drawn based on NPV of -$38,426.83 is that Tien (owner) should not invest in the project. The net present value of the project is negative which indicates that the project would not be beneficial for the investor. For a project to be financial viable and acceptable, the net present value has to be positive else the project is to be rejected. The positive net present value 8
signals profitability of the project. However, in the current case, the project has negative NPV indicating possibility of losses(Brigham and Houston, 2015). Question-11 The major argument in support of the advice given to Tien (owner) is the negative NPV of the project. It could be observed that the project is earning profits but despite this fact the NPV of project is negative. Question-12 There are various risk considerations that an investor should take into account before going with the investment. In the current case, Tien is considering investing in Pizza franchise. The Pizza franchise would be a new entrant in the market and thus, there is risk of threat emanating from the competitors. The competitors may force Tien to reduce the prices and it may also face demand crunch resulting into financial loss. Further, there is risk of inflation in the investment. The risk of inflation should be accommodated through the analysis of net present value of the project. Apart from this, the business also has to take into account the risk of political, legal and regulatory environment changes(Brigham and Houston, 2015). 9
References Abdullahi, S.R. and Sulaimon, B.A. 2017. Cost-Volume-Profit Analysis as a Management Tool for Decision Making In Small Business Enterprise within Bayero University, Kano.Journal of Business and Management, 19(2), pp. 40-45. Bloomberg.2018.GovernmentBondYield.[Online].Availableat: https://www.bloomberg.com/markets/rates-bonds/government-bonds/Australia[Accessedon: May 16, 2018]. Brigham, E.F. and Houston, J.F. 2015.Fundamentals of Financial Management. Cengage Learning. Reuters.2018.Domino'sPizzaEnterprisesLtd(DMP.AX).[Online].Availableat: https://www.reuters.com/finance/stocks/overview/DMP.AX[Accessed on: May 16, 2018]. Reuters.2018.Domino'sPizzaEnterprisesLtd(DMP.AX).[Online].Availableat: https://www.reuters.com/finance/stocks/overview/RFG.AX[Accessed on: May 16, 2018]. Tracy, J.A. and Tracy, T. 2011.Cash Flow For Dummies. John Wiley & Sons. 10