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QUESTION 4. Connor’s Cuisine restaurant is considering buying a new dishwashing

ID: 2590882 • Letter: Q

Question

QUESTION 4.

Connor’s Cuisine restaurant is considering buying a new dishwashing machine. The machine would cost $60,000 today. When sold as scrap at the end of three years, the machine should generate $3,000 as scrap. Connor’s could continue hiring college students on a part time basis to wash dishes at an annual payroll cost of $22,000. The dishwasher would increase outflows for power and water, manual washing leads to great breakage. Considering all these costs, the dishwasher would save $2,000 in operating costs, If Connor’s purchases the machine, it would use the straight-line depreciation method.

Use the net present value method to determine whether Connor’s should purchase the dishwasher.

4-1. Connor, the owner, claims he puts all his money in his mattress and never goes near banks. So Connor’s opportunity cost of capital is a less lumpy mattress. Ignore taxes for now.

4-2. Connor meets an investment banker, Ms. Portwood, and now realizes there is more to consider. He now estimates his cost of capital is 10%. Ignore taxes here, too.

4-3. Connor meets a tax advisor, Ms. Caire and realizes that taxes ought to be considered as well. The tax rate on his business return is 40%.

Explanation / Answer

4-1 When cost of Capital is not given

Particulars

Year 1

Year 2

Year 3

Total

Annual Payroll cost saving

$22,000

$22,000

$22,000

$66,000

Cost Saving

$2,000

$2,000

$2,000

$6,000

Scrap Value

$3,000

$3,000

Total Cash Inflow

$24,000

$24,000

$27,000

$75,000

Intial Cash Outflow

$60,000

$60,000

Net Cash Inflow

$15,000

As it is a positive Cash inflow Connor's should purchase the dish washers

4-2 When Cost of Capital is 10%

Particulars

Year 1

Year 2

Year 3

Total

Annual Payroll cost saving

$22,000

$22,000

$22,000

$66,000

Cost Saving

$2,000

$2,000

$2,000

$6,000

Scrap Value

$3,000

$3,000

Total Cash Inflow

$24,000

$24,000

$27,000

$75,000

Discount Factor @10%

      0.9091

     0.8264

     0.7513

Present Value of Cashflow

$21,818

$19,834

$20,285

$61,937

Intial Cash Outflow

$60,000

$60,000

Net Cash Inflow

$1,937

In this case also the NPV is positive, so Connor's should buy dishwasher

As Depreciation is a non cah item, it is not included in NPV calculation

4-3 When cost of capital is 10% and tax rate is 40%

Particulars

Year 1

Year 2

Year 3

Total

Annual Payroll cost saving

$22,000

$22,000

$22,000

$66,000

Cost Saving

$2,000

$2,000

$2,000

$6,000

Scrap Value

$3,000

$3,000

Total Cash Inflow

$24,000

$24,000

$27,000

$75,000

Less: Depreciation

$19,000

$19,000

$19,000

$57,000

Income befor taxes

$5,000

$5,000

$8,000

$18,000

Taxes @ 40%

$2,000

$2,000

$3,200

$7,200

After tax net income

$3,000

$3,000

$4,800

$10,800

Add: Depreciation

$19,000

$19,000

$19,000

$57,000

Afer tax net cash inflow

$22,000

$22,000

$23,800

$67,800

Discount Factor @10%

      0.9091

     0.8264

     0.7513

Present Value of Cashflow

$20,000

$18,181

$17,881

$56,062

Intial Cash Outflow

$60,000

$60,000

Net Cash Inflow

($3,938)

Now in this case, NPV is negative, thus Connor's should not buy dishwasher

4-1 When cost of Capital is not given

Particulars

Year 1

Year 2

Year 3

Total

Annual Payroll cost saving

$22,000

$22,000

$22,000

$66,000

Cost Saving

$2,000

$2,000

$2,000

$6,000

Scrap Value

$3,000

$3,000

Total Cash Inflow

$24,000

$24,000

$27,000

$75,000

Intial Cash Outflow

$60,000

$60,000

Net Cash Inflow

$15,000

As it is a positive Cash inflow Connor's should purchase the dish washers

4-2 When Cost of Capital is 10%

Particulars

Year 1

Year 2

Year 3

Total

Annual Payroll cost saving

$22,000

$22,000

$22,000

$66,000

Cost Saving

$2,000

$2,000

$2,000

$6,000

Scrap Value

$3,000

$3,000

Total Cash Inflow

$24,000

$24,000

$27,000

$75,000

Discount Factor @10%

      0.9091

     0.8264

     0.7513

Present Value of Cashflow

$21,818

$19,834

$20,285

$61,937

Intial Cash Outflow

$60,000

$60,000

Net Cash Inflow

$1,937

In this case also the NPV is positive, so Connor's should buy dishwasher

As Depreciation is a non cah item, it is not included in NPV calculation

4-3 When cost of capital is 10% and tax rate is 40%

Particulars

Year 1

Year 2

Year 3

Total

Annual Payroll cost saving

$22,000

$22,000

$22,000

$66,000

Cost Saving

$2,000

$2,000

$2,000

$6,000

Scrap Value

$3,000

$3,000

Total Cash Inflow

$24,000

$24,000

$27,000

$75,000

Less: Depreciation

$19,000

$19,000

$19,000

$57,000

Income befor taxes

$5,000

$5,000

$8,000

$18,000

Taxes @ 40%

$2,000

$2,000

$3,200

$7,200

After tax net income

$3,000

$3,000

$4,800

$10,800

Add: Depreciation

$19,000

$19,000

$19,000

$57,000

Afer tax net cash inflow

$22,000

$22,000

$23,800

$67,800

Discount Factor @10%

      0.9091

     0.8264

     0.7513

Present Value of Cashflow

$20,000

$18,181

$17,881

$56,062

Intial Cash Outflow

$60,000

$60,000

Net Cash Inflow

($3,938)

Now in this case, NPV is negative, thus Connor's should not buy dishwasher

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