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Financial Maths, SMB-020

A company purchases a machine for $50 000. The two methods of depreciation being considered are the declining-balance method and the straight-line method.

For the declining-balance method, the salvage value of the machine after `n` years is given by the formula

    `S=V_(0)xx(0.80)^(n),`

where `S` is the salvage value and `V_(0)` is the initial value of the asset.

  1. What is the annual rate of depreciation used in this formula?  (1 mark)

    --- 1 WORK AREA LINES (style=lined) ---

  2. Calculate the salvage value of the machine after 3 years, based on the given formula.  (2 marks)

    --- 4 WORK AREA LINES (style=lined) ---

Show Answers Only
  1.  `20text{%}`
  2. `$25\ 600`
Show Worked Solution

a.  `text{Depreciation rate}\ = 1-0.8=0.2=20text{%}`
 

b.  `text{Find}\ \ S\ \ text{when}\ \ n=3:`

`S` `=V_0 xx (0.80)^n`  
  `=50\ 000 xx (0.80)^3`  
  `=$25\ 600`  

♦♦ Mean mark (a) 24%.
COMMENT: A poor State result in part (a) that warrants attention.

Filed Under: Depreciation Tagged With: num-title-ct-coreb, smc-4335-10-Find S, smc-4335-25-Find r

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