An annuity depreciation problem!

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Hi All, 

Kindly help me in an Annuity Depreciation problem:

Example:

Product purchased for Rs.20,000/-. It has to be depreciated in 4 years @ 5% P.A. using the annuity method. 

I have the answer but NOT the formula to arrive at it! 

Can someone please give me an elaborate example / step by step formula?

:))

Nash.

Replies (2)

The formula is as under:

E = P×r×(1 + r)n/((1 + r)n - 1)

E is EMI

where P is Cost of the asset:

r is rate of interest to be used.  if interest rate is 5%, then r shall be 0.05

n is tenure in number of years

in your case the formula shall be (20000*0.05*(1+.05)^4)/((1+.05)^4-1)

 

Answer shall be Rs 5,640.24

  Opening Balance Interest @ 5% Depreciation Charge Closing Balance
Year 1                      20,000                   1,000                          5,640.24                    15,360
Year 2                      15,360                      768                          5,640.24                    10,488
Year 3                      10,488                      524                          5,640.24                      5,372
Year 4                         5,372                      269                          5,640.24                             -  

 

Thank you so much Nikhil !!!!

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