uSum-of-the-Years’-Digits Method (SYD)

Z = n (n +1)n' = n

{Y–1}

 

 

 

 

 

 

12

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

Z' =
(n' integer part +1)(n' integer part + 2*n' fraction part )

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n

 

 

{Y–1}

 

 

2

 

 

 

 

 

SYD1 =

 

 

(PV FV )

 

 

 

 

 

 

 

 

12

 

 

 

 

 

 

 

 

Z

 

 

 

 

 

 

 

 

 

 

SYDj = (

 

n'j+2)(PV FV SYD1)

( j1)

 

 

 

 

 

 

 

 

 

 

 

 

 

Z'

 

 

 

 

 

 

 

 

 

 

 

 

SYDn+1 = (

n'– (n +1)+2

 

)(PV FV SYD1)

12–{Y–1}

 

({Y–1}12)

 

 

 

 

 

 

 

 

 

Z'

 

 

 

12

 

 

 

RDV1 = PV FV SYD1

 

 

 

 

 

 

 

 

RDVj = RDVj –1SYDj

 

 

 

SYDj : depreciation charge for the jth year

 

 

 

RDVj : remaining depreciable value at the

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

end of jth year

uDeclining-Balance Method (DB)

I% Y–1DB1 = PV 100n 12RDV1 = PV FV DB1I% DBj = (RDVj–1+ FV ) 100nRDVj = RDVj–1DBj

DBj : depreciation charge for the jth year

RDVj : remaining depreciable value at the end of jth year

I% : depreciation factor

DBn +1 = RDVn

({Y–1}12)

RDVn+1 = 0

({Y–1}12)

Press 3(DEPREC) from the Financial 2 screen to display the following input screen for depreciation calculation.

6(g)3(DEPREC)

n............

useful life

I% .........

depreciation ratio in the case of the fixed percent (FP) method, depreciation factor in

 

the case of the declining balance (DB) method

PV.........

original cost (basis)

FV.........

residual book value

j.............

year for calculation of depreciation cost

Y−1........

number of months in the first year of depreciation

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