Calculate the net present value


Assignment:

1. Fjord is considering the purchase of a new machine costing $94,000. This machine can be expected to save $14,750 at the end of each year for 8 years in reduced labour costs. The company's cost of capital is 9% pa effective, and the machine has an estimated scrap value (at the end of 8 years) of $22,000.

a)Calculate the net present value (ignore the effect of taxes). Give your answer in dollars and cents to the nearest cent.
 
b)According to the NPV calculated above:

  • One would recommend that the machine be purchased
  • One would NOT recommend that the machine be purchased

2. A company that analyses projects based on after tax cash flows has invested in a project. The project has caused an increase in the tax payable by the company that has increased by $10,000.

Due to a special ruling by the tax office, the company has been given the choice of paying the $10,000 immediately or in exactly one year.

a)The company should:

  • pay the tax now
  • pay the tax in exactly one year

b)This is because:

  • the time value of money means that the $10,000 paid in one year is worth more than $10,000 paid immediately
  • the time value of money means that the $10,000 paid in one year is worth less than $10,000 paid immediately
  • the original capital budgeting cash flows assumed tax is payable at the end of each period and those cash flows should be followed as closely as possible
  • the original capital budgeting cash flows assumed tax is payable at the beginning of each period and those cash flows should be followed as closely as possible

3. A company that analyses projects based on after tax cash flows is considering investing in a project. Accepting this project will cause an increase in the company's expected level of income tax deductions. This additional tax deduction:

  • must be taken into account when analysing the project as a reduction in cash outflows
  • only affects cash flows and not accounting profits which means it will not affect the capital budgeting decision
  • must be taken into account when analysing the project as a reduction in cash inflows
  • only affects accounting profits and not cash flows which means it will not affect the capital budgeting decision

4.  IBX Pty Ltd is considering the purchase of a new machine that is expected to save the company $74,000 at the end of each year in reduced wages.

The machine costs $220,000, plus another $14,000 to be installed. It is expected to last for five years after which it can be sold as scrap for $55,000. Operating expenses (such as fuel and maintenance) are $9,000 pa.

a) Determine the annual net cash flows of this investment (ignore the effect of taxes). Enter the information in the following table. Indicate whether cash flows are + or -:

Time              0    1    2    3    4    5
Net Cash Flow    

b) Calculate the NPV if the required rate of return is 16% pa. Give your answer in dollars and cents to the nearest cent.

c) Calculate the NPV if the required rate of return is 18% pa. Give your answer in dollars and cents to the nearest cent.

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Financial Management: Calculate the net present value
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