Question

In: Accounting

Shrieves Casting Company is considering adding a new line to its product mix, and the capital...

Shrieves Casting Company is considering adding a new line to its product mix, and the capital

budgeting analysis is being conducted by Sidney Johnson, a recent business school graduate.

The production line would be set up in unused space in Shrieves's main plant. The machinery's

invoice price would be approximately $200,000, another $10,000 in shipping charges would be

required, and it would cost an additional $30,000 to install the equipment. The machinery has

an economic life of 4 years and would be in Class 8 with a CCA rate of 20%. The machinery is

expected to have a salvage value of $25,000 after 4 years of use.

     The new line would generate incremental sales of 1,250 units per year for 4 years

at an incremental cost of $100 per unit in the first year, excluding depreciation. Each

unit can be sold for $200 in the first year. The sales price and cost are both expected

to increase by 3% per year due to inflation. Furthermore, to handle the new line, the

firm's net operating working capital would have to increase by an amount equal to 12%

of sales revenues. The firm's tax rate is 28%, and its overall weighted average cost of

capital is 10%.

A) 1. Construct annual incremental project operating cash flows.

2. Estimate the required net operating working capital for each year and the cash flow due to investments in net operating working capital.

3. Calculate the present value of the CCA tax shield.

B)1. What is the after-tax salvage cash flows?

2. What is the projects NPV? Should the project be undertaken?

C) 1. What is sensitivity analysis

2. Perform a sensitivity analysis on the unit sales, salvage volume, and cost of capital for the project. Assume that each of these variables can vary from its base-case, or expected, value by +/- 10% and +/- 20%. Include a sensitivity diagram, and discuss the results.

3. What is the primary weakness of sensitivity analysis? What is its primary usefulness?

D)Assume that Sidney Johnson is confident of her estimates of all the variables that affect the project’s cash flows except unit sales and sales price. If product acceptance is poor, unit sales will be only 900 units a year and the unit price will be only $160; a strong consumer response will produce sales of 1,600 units and a unit price of $240. Johnson believes that there is a 25% chance of poor acceptance, a 25% chance of excellent acceptance, and a 50% chance of average acceptance (the best case).

1.What is scenario analysis?

2.What is the worst-case NPV? The best case NPV?

3.Use the worse-, base-, and best case NPVs and probabilities of occurrence to find the projects expect NPV, standard deviation, and coefficient of variation.

E)1.   Assume that Shrieves’s average project has a coefficient of variation in the range of 0.7 to 0.9. Would the new line be classified as high risk, average risk, or low risk? What type of risk is being measured here?

2.   Shrieves typically adds or subtracts 3 percentage points to the overall cost of capital to adjust for risk. Should the new line be accepted?

3.   Are there any subjective risk factors that should be considered before the final decision is made?

Solutions

Expert Solution

Answer A
1.Statement of incremental Project Operating cash flows
Cash Inflows:
Incremental contribution after tax 90000 92700 95481 98345.43
2.Incremental Net Operating Working Capital required
Incremental sales revenue 250000 257500 265225 273181.8
Incremental working capital@ 12% -30000 -30900 -31827 -32781.8
3. Present value of CCA tax shield
Year 1 2 3 4
Incremental Tax savings on CCA 13440 10752 8601.6 6881.28
Discounting factor @10% 0.909091 0.826446 0.751315 0.683013
Present value of cash flow 12218.18 8885.95 6462.509 4700.007
NPV 32266.65
Answer B
1. After tax salvage cash flows at year 4 18000
2. NPV of Project
Year 1 2 3 4
Cash Inflows:
Incremental contribution after tax 90000 92700 95481 98345.43
Incremental Tax savings on CCA 13440 10752 8601.6 6881.28
After tax salvage cash flows at year 4 18000
Cash Outflows:
Incremental working capital@ 12% -30000 -30900 -31827 -32781.8
Net incremental cash flows 73440 72552 72255.6 90444.9
Discounting factor @10% 0.909091 0.826446 0.751315 0.683013
Present value of cash flow 66763.64 59960.33 54286.7 61775.08
Incremental NPV 242785.8

Answer C

1. Sensitivity analysis is the method of evaluation in which we evaluate the sensitivity or change in NPV according tochange in each variable, where all other variables remain constant..
2. Sensitivity on unit sales
If changes +/- 10%
Year 1 2 3 4
Incremental Sales in units 1375 1375 1375 1375
Incremental cost per unit 100      103.00      106.09      109.27
Selling price per unit 200      206.00      212.18      218.55
Incremental contribution per unit 100 103 106.09 109.2727
Incremental sales revenue 275000 283250 291747.5 300499.9
Incremental contribution before tax 137500 141625 145873.8 150250
Tax @ 28% 38500 39655 40844.65 42069.99
Incremental after tax contribution 99000 101970 105029.1 108180
Revised NPV of Project (+10% in unit sales)
Year 1 2 3 4
Cash Inflows:
Incremental contribution after tax 99000 101970 105029.1 108180
Incremental Tax savings on CCA 13440 10752 8601.6 6881.28
After tax salvage cash flows at year 4 18000
Cash Outflows:
Incremental working capital@ 12% -30000 -30900 -31827 -32781.8
Net incremental cash flows 82440 81822 81803.7 100279.4
Discounting factor @10% 0.909091 0.826446 0.751315 0.683013
Present value of cash flow 74945.45 67621.49 61460.33 68492.21
Incremental NPV 272519.5
If sales reduce by 10%
Year 1 2 3 4
Incremental Sales in units 1125 1125 1125 1125
Incremental cost per unit 100      103.00      106.09      109.27
Selling price per unit 200      206.00      212.18      218.55
Incremental contribution per unit 100 103 106.09 109.2727
Incremental sales revenue 225000 231750 238702.5 245863.6
Incremental contribution before tax 112500 115875 119351.3 122931.8
Tax @ 28% 31500 32445 33418.35 34420.9
Incremental after tax contribution 81000 83430 85932.9 88510.89
Revised NPV of Project (-10% in unit sales)
Year 1 2 3 4
Cash Inflows:
Incremental contribution after tax 81000 83430 85932.9 88510.89
Incremental Tax savings on CCA 13440 10752 8601.6 6881.28
After tax salvage cash flows at year 4 18000
Cash Outflows:
Incremental working capital@ 12% -30000 -30900 -31827 -32781.8
Net incremental cash flows 64440 63282 62707.5 80610.36
Discounting factor @10% 0.909091 0.826446 0.751315 0.683013
Present value of cash flow 58581.82 52299.17 47113.07 55057.96
Incremental NPV 213052
Sensitivity %Change in NPV 24.5%
%Change in base 20%
Sensitivity ratio of NPV to unit sales 122%
This means for each % change in unit sales, NPV changes by 122%
Similarly , sensitivity can be analysed for each variable.

Working notes:

Cost of machinery 240000
CCA 20%
Life in years 4
Salvage value 25000
Depreciation SLM 53750
CCA
Year Opening WDV CCA at 20% Closing WDV Tax savings on CCA
1 240000 48000 192000 13440
2 192000 38400 153600 10752
3 153600 30720 122880 8601.6
4 122880 24576 98304 6881.28
Year 1 2 3 4
Incremental Sales in units 1250 1250 1250 1250
Incremental cost per unit 100      103.00      106.09      109.27
Selling price per unit 200      206.00      212.18      218.55
Incremental contribution per unit 100 103 106.09

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