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Question 1. Table 1 details a proposed gold project.

Year

0

1

2

3

4

5

Production (oz)

 

30,000

50,000

50,000

50,000

50,000

Operating expenses thousand $

 

10,598

17,762

19,339

21,073

20,882

Capital expenditure thousand $

15,000

 

 

 

 

 

Table 2 Base data for gold project cash flow calculation

Item

Value

Initial capital cost

$ 15,000,000

Project life

5 years

Depreciation rate for tax purposes

27.5% declining balance method

Tax rate

35%

Discount rate

15%

Part 1

For a gold price of $1,000/oz. determine the following:
a) Operating yearly revenue
b) Operating yearly profit/loss
c) Tax depreciation yearly
d) End of year written down value for tax purposes
e) Salvage value in year 5
f) Yearly taxable profit
g) Income tax payable in each year
h) Yearly after tax profit/loss
i) Yearly net cash flow
j) Yearly discounted net cash flow
k) Net present value for the project

Part 2

Repeat part 1 for a gold price of $1,200/oz.
What is the impact on net present value?

Part 3

Using a gold price of $1,000/oz. as per part 1.

The following differential inflation adjustments apply:
- General inflation rate 10%
- Product selling price 4%
- Labour component of operating costs 11%
- Other components of operating costs 9%
- Capital equipment 9%
In addition it may be assumed that labour makes up 55% of the unescalated operating expenditure, other 45%.
Determine the inflation adjusted Net present value

Question 2. A system of mining requires 3 operators at any one time. The mine operates on a three shift basis per day, 6 days per week. Allowing for availability the mining system operates 5,000 hours per year. Each worker costs $55,000 per year. Assuming all personnel are required on service shifts, an absenteeism rate of 5%, determine the hourly cost of labour.

Question 3. For the following projects, determine the payback period.

 

Cash flow  $1000

Cash flow  $1000

Cash flow  $1000

Cash flow  $1000

Year

Alternative A

Alternative B

Alternative C

Alternative D

0

-1,200

-1,000

-1,000

-1,000

1

200

300

500

400

2

300

300

300

300

3

500

400

200

200

4

200

200

200

100

5

0

200

200

500

6

0

200

200

500

Question 4. For the following project determine the payback period and the rate of return.

Year

Cash flow $

1

-10,000,000

2

-5,000,000

3

1,000,000

4

4,000,000

5

5,000,000

6

5,000,000

7

5,000,000

8

4,000,000

9

2,000,000

10

1,000,000

Question 5. An investment of $ 5,000,000 is expected to generate cash flows of $ 2,500,000 over a period of 6 years. The cost of capital is 8%, determine the Present Value Ratio.

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