Question

In: Finance

Cathy Smith from Cathy’s Cool Constructions Pty. Ltd. is considering investing in some equipment to expand...

Cathy Smith from Cathy’s Cool Constructions Pty. Ltd. is considering investing in some equipment to expand her business and has asked for your advice regarding the 2 options she has available, and has given the information below. The company pays a 30% flat rate of company tax.

The current sources of funds and associated costs are as follows:

Source of funds

Value ($)

Cost % before tax

Owners’ Equity

$874,500

10.0%

Mortgage

$525,000

4.0%

Vehicle Loan

$41,000

12.0%

1B. Equipment Option 2 costs $100,000, will last 8 years and then become obsolete and be worth nothing. It is expected to bring in approximately $35,000 additional cash revenue each year and will require Cathy to take out an additional loan of $50,000, with an interest rate of 12%p.a. before tax.

i. Given the change in sources of funds and capital structure above, calculate the new Weighted Average Cost of Capital for Cathy’s Cool Constructions Pty. Ltd.

ii. Using the straight line method of depreciation, calculate the annual depreciation expense. Show your workings

iii. Calculate the additional profit per year after tax and the additional net cash inflow per year. Show your workings.

iv. What is the Average Rate of Return for Option 2?

Solutions

Expert Solution

after tax cost of debt
Mortgage Loan Interest rate*(1-tax rate) 4*(1-.3) 2.8
vehicle Loan Interest rate*(1-tax rate) 12*(1-.3) 8.4
Additional Loan Interest rate*(1-tax rate) 12*(1-.3) 8.4
cost of equity 10
WACC
Source value Weight component cost weight*component cost
owner equity 874500 0.5867159 10 5.8671587
mortgage 525000 0.3522308 2.8 0.9862462
vehicle loan 41000 0.0275075 8.4 0.2310634
additional Loan 50000 0.0335458 8.4 0.2817846
total 1490500
WACC = sum of weight*component cost 7.3662529
Annual depreciation cost of equipment-scrap value/life of equipment (100000-0)/8 12500
Year 1 2 3 4 5 6 7 8
cash revenue 35000 35000 35000 35000 35000 35000 35000 35000
less depreciation 12500 12500 12500 12500 12500 12500 12500 12500
before tax profit 22500 22500 22500 22500 22500 22500 22500 22500
less tax-30% 6750 6750 6750 6750 6750 6750 6750 6750
after tax profit 15750 15750 15750 15750 15750 15750 15750 15750
add depreciation 12500 12500 12500 12500 12500 12500 12500 12500
net operating cash flow 28250 28250 28250 28250 28250 28250 28250 28250
Average rate of return average after tax profit/average investment 15750/50000 31.50%
average after tax profit 15750
average investment 100000/2 50000

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