The cash flow table for the new lemonade project is prepared below:
Cash Flow Statement: |
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|
|
|
|
|
|
|
Period |
|
||||
Particulars |
0 |
1 |
2 |
3 |
4 |
Total |
|
|
|
|
|
|
|
Initial Investment: |
|
|
|
|
|
|
Depreciable Cost of Machinery |
($550,000) |
|
|
|
|
($550,000) |
Initial Requirement of Inventory |
($60,000) |
|
|
|
|
($60,000) |
Total Initial Investment |
($610,000) |
$0 |
$0 |
$0 |
$0 |
($610,000) |
Less: Loan from Bank |
$500,000 |
|
|
|
|
$500,000 |
Net Initial Investment |
($110,000) |
$0 |
$0 |
$0 |
$0 |
($110,000) |
Operating Cash Flow: |
|
|
|
|
|
|
Sales Volume |
$0 |
$250,000 |
$250,000 |
$250,000 |
$250,000 |
$1,000,000 |
Selling Price p.u. |
$0 |
$4.00 |
$4.20 |
$4.41 |
$4.63 |
|
Annual Sales Revenue |
$0 |
$1,000,000 |
$1,050,000 |
$1,102,500 |
$1,157,625 |
$4,310,125 |
Expenses: |
|
|
|
|
|
|
Operating Cost p.u. |
$0 |
$2.80 |
$2.88 |
$2.97 |
$3.06 |
|
Annual Operating Cost |
$0 |
$700,000 |
$721,000 |
$742,630 |
$764,909 |
$2,928,539 |
Depreciation on Machinery |
$0 |
$220,000 |
$165,000 |
$110,000 |
$55,000 |
$550,000 |
Interest on Loan |
$0 |
$60,000 |
$60,000 |
$60,000 |
$60,000 |
$240,000 |
Total Expenses |
$0 |
$980,000 |
$946,000 |
$912,630 |
$879,909 |
$3,718,539 |
Net Profit Before Tax |
$0 |
$20,000 |
$104,000 |
$189,870 |
$277,716 |
$591,586 |
Less: Income Tax |
$0 |
$6,000 |
$31,200 |
$56,961 |
$83,315 |
$177,476 |
Net Profit after Tax |
$0 |
$14,000 |
$72,800 |
$132,909 |
$194,401 |
$414,110 |
Add: Depreciation on Machinery |
$0 |
$220,000 |
$165,000 |
$110,000 |
$55,000 |
$550,000 |
Less: Change in Inventory Value |
$0 |
$40,000 |
$5,000 |
$5,250 |
$5,513 |
$55,763 |
Annual Operating Cash Flow |
$0 |
$194,000 |
$232,800 |
$237,659 |
$243,889 |
$908,348 |
Terminal Value: |
|
|
|
|
|
|
Repayment of Loan |
|
|
|
|
($500,000) |
($500,000) |
Sale of Machine |
|
|
|
|
$10,000 |
$10,000 |
Less: Tax on Sales |
|
|
|
|
($3,000) |
($3,000) |
Net Terminal Value |
$0 |
$0 |
$0 |
$0 |
($493,000) |
($493,000) |
Net Cash Flow from Lemonade Project |
($110,000) |
$194,000 |
$232,800 |
$237,659 |
($249,111) |
$305,348 |
Though cash flow table is very essential for management decision-making purpose, it is an accounting statement. Hence, it is prepared with conservative approach. The cash flow table includes the direct cash inflows and cash outflows from any project. Any kind of cash flows from opportunity cost or revenue are not taken for consideration to prepare cash flow tables. For example, few costs are discussed below:
The capital budgeting process includes all the relevant expenses and cost benefits, which are generated from any project both directly and indirectly. Hence, the capital budgeting analysis of the new lemonade project incorporates the following expenses and cost benefits, which are not considered for the cash flow table:
On the basis of the above assumptions, the project is measured under different capital budgeting techniques in the table below:
Capital Budget Analysis: |
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|
Period |
|
||||
Particulars |
0 |
1 |
2 |
3 |
4 |
Total |
Initial Investment: |
|
|
|
|
|
|
Depreciable Cost of Machinery |
($550,000) |
|
|
|
|
($550,000) |
Rehabilitation Cost of Plant |
($80,000) |
|
|
|
|
|
Initial Requirement of Inventory |
($60,000) |
|
|
|
|
($60,000) |
Total Initial Investment |
($690,000) |
$0 |
$0 |
$0 |
$0 |
($690,000) |
Less: Loan from Bank |
$500,000 |
|
|
|
|
$500,000 |
Net Initial Investment |
($190,000) |
$0 |
$0 |
$0 |
$0 |
($190,000) |
Operating Cash Flow: |
|
|
|
|
|
|
Sales Volume |
0 |
250000 |
250000 |
250000 |
250000 |
1000000 |
Selling Price p.u. |
$0 |
$4.00 |
$4.20 |
$4.41 |
$4.63 |
|
Annual Sales Revenue |
$0 |
$1,000,000 |
$1,050,000 |
$1,102,500 |
$1,157,625 |
$4,310,125 |
Expenses: |
|
|
|
|
|
|
Operating Cost p.u. |
$0 |
$2.80 |
$2.88 |
$2.97 |
$3.06 |
|
Annual Operating Cost |
$0 |
$700,000 |
$721,000 |
$742,630 |
$764,909 |
$2,928,539 |
Depreciation on Machinery |
$0 |
$220,000 |
$165,000 |
$110,000 |
$55,000 |
$550,000 |
Loss on Sale of Other Product |
$0 |
$70,000 |
$70,000 |
$70,000 |
$70,000 |
$280,000 |
Reduction of Operating Costs |
$0 |
($48,000) |
($48,000) |
($48,000) |
($48,000) |
($192,000) |
Loss of Rental Income |
$0 |
$48,000 |
$24,000 |
$24,000 |
$24,000 |
$120,000 |
Interest on Loan |
$0 |
$60,000 |
$60,000 |
$60,000 |
$60,000 |
$240,000 |
Total Expenses |
$0 |
$1,050,000 |
$992,000 |
$958,630 |
$925,909 |
$3,926,539 |
Net Profit Before Tax |
$0 |
($50,000) |
$58,000 |
$143,870 |
$231,716 |
$383,586 |
Less: Income Tax |
$0 |
($15,000) |
$17,400 |
$43,161 |
$69,515 |
$115,076 |
Net Profit after Tax |
$0 |
($35,000) |
$40,600 |
$100,709 |
$162,201 |
$268,510 |
Add: Depreciation on Machinery |
$0 |
$220,000 |
$165,000 |
$110,000 |
$55,000 |
$550,000 |
Less: Change in Inventory Value |
$0 |
$40,000 |
$5,000 |
$5,250 |
$5,513 |
$55,763 |
Annual Operating Cash Flow |
$0 |
$145,000 |
$200,600 |
$205,459 |
$211,689 |
$762,748 |
Terminal Value: |
|
|
|
|
|
|
Repayment of Loan |
|
|
|
|
($500,000) |
($500,000) |
Sale of Machine |
|
|
|
|
$10,000 |
$10,000 |
Less: Tax on Sales |
|
|
|
|
($3,000) |
($3,000) |
Savings from Return of Deposit |
|
|
|
|
$24,000 |
$24,000 |
Net Terminal Value |
$0 |
$0 |
$0 |
$0 |
($469,000) |
($469,000) |
Net Cash Flow from Lemonade Project |
($190,000) |
$145,000 |
$200,600 |
$205,459 |
($257,311) |
$103,748 |
Discount Factor |
1 |
0.8772 |
0.7695 |
0.6750 |
0.5921 |
|
Discounted Cash Flow |
($190,000) |
$127,193 |
$154,355 |
$138,679 |
($152,349) |
|
Net Present Value |
$77,878 |
|
||||
IRR |
34.68% |
|
||||
Profitability Index |
40.99% |
|
||||
Cumulative Cash Flow |
($190,000) |
($45,000) |
$155,600 |
$361,059 |
$103,748 |
|
Payback Period (in years) |
1.29 |
|
As per the table, the project would generate positive net present value. The internal rate of return would also be higher than the weighted average cost of capital. It indicates that the company would get higher return from the investments in comparison to the cost of the capital invested. The profitability index states that the project can deliver almost 40% profit over the initial investment. Moreover, the project would be able to return the initial investment within 1.29 years, which is almost half of the expected payback period of the company.
As under all the capital budgeting techniques, the project can be considered as profitable, the company can undertake the project.
The break-even point is the particular point of sales, where the totals revenue from the sales and total expenses use to be equal. There would be neither any profit nor any loss at the break-even point. On the other hand, any company can generate net cash inflows from the operating activities if the totals sales revenue would be higher than the total expenses. As in the break-even point, both the sales and expenses would be equal, the project cannot generate any excess cash inflow fat this point (DRURY, 2013).
If along with the sales volume, the selling price per unit and operating cost per unit would remain unchanged, the break-even sales volume would be as follows:
Break-Even Unit Sales Volume: |
|
Particulars |
Amount |
Operating Cost p.u. |
$2.80 |
Sales Volume |
250000 |
Total Operating Cost |
$700,000 |
Less: Fixed Cost |
$350,000 |
Variable Cost |
$350,000 |
Variable Cost p.u. |
$1.40 |
Selling Price per unit |
$4.00 |
Contribution Margin per unit |
$2.60 |
Break-Even Unit Sales |
134615 |
The NPV of the project for different sales volume is shown in the following table:
Sensitivity Analysis for Change in Sales Volume: |
|
Particulars |
NPV |
Worst Case |
($41,290) |
Best Case |
$197,046 |
The NPV of the project for various rate of cost of capital are as follows:
Sensitivity Analysis for Change in Cost of Capital: |
|
Particulars |
NPV |
Cost of Capital Rate: |
|
9% |
$88,235 |
11% |
$84,173 |
12% |
$82,097 |
Actual Rate – 14% |
$77,878 |
16% |
$73,597 |
17% |
$71,441 |
19% |
$67,115 |
The risk of project on the basis of the sales volume is measured in the following table:
Risk Analysis: |
|||
Particulars |
NPV |
Probability |
Expected NPV |
Worst Case |
($41,290) |
0.25 |
($10,322.50) |
Most – Lijkely Case |
$77,878 |
0.5 |
$38,939.12 |
Best Case |
$197,046 |
0.25 |
$49,261.50 |
Project’s Expected NPV |
|
1 |
$77,878.12 |
Standard Deviation |
|
|
$31,842.09 |
Co-Efficient of Variation |
|
|
1.23 |
From the above tables, it can be stated that the NPV of the project is related positively with sales volume and negatively with cost of capital. It is less sensitive to the cost capital. The rise in cost of capital would cause fall in the NPV, but still it would be positive.
However, it is highly sensitive to the sale volume. The table, above, exhibits that in worst-case the NPV would be negative and is best case, it would be quite higher than the most-likely case. Hence, it is necessary to measure the risk, associated with the sales volume.
The table, shown in question 4, suggests that the expected NPV of the project would be same as the NPV for most-likely scenario. However, the coefficient of variation for the project is 1.23. It indicates that the risk level of the project is out of the normal risk range of the company. The difference with higher limit of risk range and the project’s risk level is also quite high. Hence, the project should be classified as project with higher risk (Clancy & Collins, 2014).
The expected life of the old machinery is four years and after that, it has to be replaced with new one. Hence, if the company would replace the old machine with the new machine after four years, then the NPV of the project would be same.
However, if the machine is replaced after two years, the NPV would be as follows:
Capital Budget Analysis: |
||||||
|
Period |
|
||||
Particulars |
0 |
1 |
2 |
3 |
4 |
Total |
Initial Investment: |
|
|
|
|
|
|
Depreciable of Machinery |
($550,000) |
|
|
|
|
($550,000) |
Rehabilitation Cost of Plant |
($80,000) |
|
|
|
|
|
Initial Requirement of Inventory |
($60,000) |
|
|
|
|
($60,000) |
Total Initial Investment |
($690,000) |
$0 |
$0 |
$0 |
$0 |
($690,000) |
Less: Loan from Bank |
$500,000 |
|
|
|
|
$500,000 |
Net Initial Investment |
($190,000) |
$0 |
$0 |
$0 |
$0 |
($190,000) |
Operating Cash Flow: |
|
|
|
|
|
|
Sales Volume |
0 |
250000 |
250000 |
250000 |
250000 |
1000000 |
Selling Price p.u. |
$0 |
$4.00 |
$4.20 |
$4.41 |
$4.63 |
|
Annual Sales Revenue |
$0 |
$1,000,000 |
$1,050,000 |
$1,102,500 |
$1,157,625 |
$4,310,125 |
Expenses: |
|
|
|
|
|
|
Operating Cost p.u. |
$0 |
$2.80 |
$2.88 |
$2.97 |
$3.06 |
|
Annual Operating Cost |
$0 |
$700,000 |
$721,000 |
$742,630 |
$764,909 |
$2,928,539 |
Depreciation on Machinery |
$0 |
$220,000 |
$165,000 |
$255,000 |
$178,500 |
$818,500 |
Loss on Sale of Other Product |
$0 |
$70,000 |
$70,000 |
$70,000 |
$70,000 |
$280,000 |
Reduction of Operating Costs |
$0 |
($48,000) |
($48,000) |
($48,000) |
($48,000) |
($192,000) |
Loss of Rental Income |
$0 |
$48,000 |
$24,000 |
$24,000 |
$24,000 |
$120,000 |
Cost Savings for New Machine |
$0 |
$0 |
$0 |
($22,000) |
($22,000) |
($44,000) |
Interest on Loan |
$0 |
$60,000 |
$60,000 |
$60,000 |
$60,000 |
$240,000 |
Total Expenses |
$0 |
$1,050,000 |
$992,000 |
$1,081,630 |
$1,027,409 |
$4,151,039 |
Net Profit Before Tax |
$0 |
($50,000) |
$58,000 |
$20,870 |
$130,216 |
$159,086 |
Less: Income Tax |
$0 |
($15,000) |
$17,400 |
$6,261 |
$39,065 |
$47,726 |
Net Profit after Tax |
$0 |
($35,000) |
$40,600 |
$14,609 |
$91,151 |
$111,360 |
Add: Depreciation on Machinery |
$0 |
$220,000 |
$165,000 |
$255,000 |
$178,500 |
$818,500 |
Less: Change in Inventory Value |
$0 |
$40,000 |
$5,000 |
$5,250 |
$5,513 |
$55,763 |
Annual Operating Cash Flow |
$0 |
$145,000 |
$200,600 |
$264,359 |
$264,139 |
$874,098 |
Capital Expenditure: |
|
|
|
|
|
|
Purchase of New Machine |
|
|
($850,000) |
|
|
($850,000) |
Sale of Old Machine |
|
|
$300,000 |
|
|
$300,000 |
Tax on Sale |
|
|
($90,000) |
|
|
($90,000) |
Total Capital Expenditure |
$0 |
$0 |
($640,000) |
$0 |
$0 |
($640,000) |
Terminal Value: |
|
|
|
|
|
|
Repayment of Loan |
|
|
|
|
($500,000) |
($500,000) |
Savings from Return of Deposit |
|
|
|
|
$24,000 |
$24,000 |
Net Terminal Value |
$0 |
$0 |
$0 |
$0 |
($476,000) |
($476,000) |
Net Cash Flow from Lemonade Project |
($190,000) |
$145,000 |
($439,400) |
$264,359 |
($211,861) |
($431,902) |
Discount Factor |
1 |
0.8772 |
0.7695 |
0.6750 |
0.5921 |
|
Discounted Cash Flow |
($190,000) |
$127,193 |
($338,104) |
$178,435 |
($125,439) |
|
Net Present Value |
($347,915) |
|
The table implies that the project would generate negative NPV. Hence, it is recommended that the company should replaced the older machine with the new one after four years.
Andor, G., Mohanty, S. K., & Toth, T. (2015). Capital budgeting practices: a survey of Central and Eastern European firms. Emerging Markets Review, 23, 148-172
Brüggen, A., & Luft, J. L. (2015). Cost estimates, cost overruns, and project continuation decisions. The Accounting Review, 91(3), 793-810
Burns, R., & Walker, J. (2015). Capital budgeting surveys: the future is now.
Clancy, D. K., & Collins, D. (2014). Capital budgeting research and practice: The state of the art. In Advances in Management Accounting (pp. 117-161). Emerald Group Publishing Limited
Dellavigna, S., & Pollet, J. M. (2013). Capital budgeting versus market timing: An evaluation using demographics. The Journal of Finance, 68(1), 237-270
DRURY, C. M. (2013). Management and cost accounting. Springer.
Kashyap, A. (2014). Capital Allocating Decisions: Time Value of Money. Asian Journal of Management, 5(1), 106-110.
Kerler III, W. A., Fleming, A. S., & Allport, C. D. (2014). How framed information and justification impact capital budgeting decisions. In Advances in Management Accounting (pp. 181-210). Emerald Group Publishing Limited
Rossi, M. (2015). The use of capital budgeting techniques: an outlook from Italy. International Journal of Management Practice, 8(1), 43-56
Zhang, Q., Huang, X., & Zhang, C. (2015). A mean-risk index model for uncertain capital budgeting. Journal of the Operational Research Society, 66(5), 761-770
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