Determine the present value ratio

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Reference no: EM131688638

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.

Verified Expert

The task pertains to solving the questions based on the cash flows, present value etc. The answers has been done with the proper formulas and the reasoning. Further, the excel file has also been attached for your reference in order to get the clarification for the links and the formulas used. The calculation of payback period, cash flows, WDV at the year end and the other formulas have been explained lucidly. All the answers have been explained with clear bifurcation for each and every figure.

Reference no: EM131688638

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