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Financial Maths Section 5.2 Solutions 1 March 25, 2013 Financial Maths Section 5.2 Depreciation

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Page 1: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

1

March 25, 2013

Financial Maths

Section 5.2

Depreciation

Page 2: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

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March 25, 2013

Page 3: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

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March 25, 2013

Page 4: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

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March 25, 2013

must calculate year 1 first

At end of year 1

Value after 3 years

Value after 5 years

ii)    Difference between depreciated value and cost of new machine in 4 years.

Extra money needed = Value difference Less savings

Extra investment = Present value of 65508.45 with discount rate of 4% 

Assuming the 2nd Hand Value in 4 years time is not subject to inflation

Page 5: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

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March 25, 2013

Formula for t

Page 6: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

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March 25, 2013

Page 7: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

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March 25, 2013

Straight line

depreciation

Reducing balance depreciation

Page 8: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

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March 25, 2013

From graphMethod 1

Method 2

Page 9: Financial Maths Section 5.2 Solutionslcmaths.weebly.com/uploads/1/0/7/1/10716199/_financial...Financial Maths Section 5.2 Solutions 9 March 25, 2013 Because the function approaches

Financial Maths Section 5.2 Solutions

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March 25, 2013

Because the function approaches a limit.

The value is always being reduced by 36%, but a positive number being multiplied by 0.64 is always > 0.

The reducing balance is more realistic because the AC System should still have a value in 5 years.