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In: Accounting

Question 3 Fastow Ltd, makers of plates, is considering also making spoons and has found a...

Question 3 Fastow Ltd, makers of plates, is considering also making spoons and has found a machine that would enable them to do so. This machine would be depreciated straight line, down to a book value of $20,000 over its entire useful life of ten years. Despite this, it is anticipated that the machine will be sold for $12,000 at the end of its useful life. Additional details of the project’s cash flows are tabulated below:

Cost of machine

$395,000

Delivery and installation charge of machine

$20,000

Annual revenue

$280,000

Annual operating costs

70% of generated revenue

In addition to the cash flow information, you have also been provided with the following details:

  • The corporate tax rate is 30%;
  • All tax is payable annually in arrears (i.e. tax is paid on profits one year after it is earned);
  • Renovation costs associated with preparing the factory floor for the machine are $20,000, expensed immediately;
  • Market research, required to obtain the information and figures provided above, was conducted at a cost of $15,750;
  • The required rate of return on the project is unknown. However, the project is considered to be 35% riskier than the market portfolio, the expected return on the market is 10% p.a. compounded fortnightly and the six-month risk-free rate is 2.5%.

Given this information, calculate the net present value and state whether you recommend Fastow Ltd to purchase the machine?

Solutions

Expert Solution

0 year 1 2 3 4 5 6 7 8 9 10 11
Cost of machine -3,95,000
Installation Charge      -20,000
-4,15,000
Annual Revenue        2,80,000         2,80,000        2,80,000        2,80,000        2,80,000        2,80,000        2,80,000        2,80,000        2,80,000        2,80,000
Less:Operaing Costs-70%       -1,96,000       -1,96,000       -1,96,000       -1,96,000       -1,96,000       -1,96,000       -1,96,000       -1,96,000       -1,96,000       -1,96,000
Less:Depreciation          -37,500           -37,500          -37,500          -37,500          -37,500          -37,500          -37,500          -37,500          -37,500          -37,500
Profit            46,500            46,500            46,500            46,500            46,500            46,500            46,500            46,500            46,500            46,500
Less:Tax-30%           -13,950          -13,950          -13,950          -13,950          -13,950          -13,950          -13,950          -13,950          -13,950        -13,950
Add:Depreciation            37,500            37,500            37,500            37,500            37,500            37,500            37,500            37,500            37,500            37,500
Salvage Value-after tax(12000*70%) 8400
Cash Inflow            84,000            70,050            70,050            70,050            70,050            70,050            70,050            70,050            70,050            78,450        -13,950
Discount Factor-8.5% 1              0.922               0.849              0.783              0.722              0.665              0.613              0.565              0.521              0.480              0.442            0.408
Present Value -415000            77,419            59,504            54,843            50,546            46,586            42,937            39,573            36,473            33,616            34,697           -5,687
Net Present Value 55508
NPV is Sum of present value
Note
Cost of Capital=Risk Free Rate+Risk(Expected Return)
(5%+35%*10%) 8.50%
Six month free interest Rate 2.50%
Annual Interest rate 5%
Cost of machine 395000
Book Value after 10 years 20000
Depreciation P a 37500

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