7-16
u Sum-of-the-Years’-Digits Method (SYD)
  
  
  
  
  
  
  
  
  
  
  
  
   SYD  j   :  depreciation charge for the  j th year
   RDV  j  :  remaining depreciable value at the 
end of  
j th year
u Declining-Balance Method (DB)
   DB  
j   :  depreciation charge for the  j th year
   RDV  j  :  remaining depreciable value at the 
end of  j th year
   I  % : depreciation factor
  
  
  
  
  
  
  
  
  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
   P V   ......... original cost (basis)
   F V   ......... residual book value
   j   ............. year for calculation of depreciation cost
   Y  −1 ........ number of months in the first year of depreciation
  
n (n +1)
Z =
2
2
(n' integer part +1)(n' integer part + 2*n' fraction part
 )
Z' =
SYD
1 =
{Y–1}
12
n
Z
× (PV
 – FV )
n'– j+2
Z'
)(PV
 – FV – SYD1)( j≠1)SYDj = (
RDV1 = PV – FV – SYD1
RDVj = RDVj –1  – SYDj
n'– (n +1)+2
Z'
)(PV
 – FV – SYD1)({Y–1}≠12)
12–{Y–1}
12
×SYD
n+1 = (
12
{Y–1}
n' = n – 
n (n +1)
Z =
2
2
(n' integer part +1)(n' integer part + 2*n' fraction part
 )
Z' =
SYD
1 =
{Y–1}
12
n
Z
× (PV
 – FV )
n'– j+2
Z'
)(PV
 – FV – SYD1)( j≠1)SYDj = (
RDV1 = PV – FV – SYD1
RDVj = RDVj –1  – SYDj
n'– (n +1)+2
Z'
)(PV
 – FV – SYD1)({Y–1}≠12)
12–{Y–1}
12
×SYD
n+1 = (
12
{Y–1}
n' = n – 
RDV1 = PV – FV – DB1
({Y–1}≠12)
({Y–1}≠12)
100n
Y–1I%
DB
1 = PV × 
100n
I%
12
×
×
DB
j = (RDVj–1 + FV )
RDVj = RDVj–1 – DBj
DBn +1 = RDVn 
RDVn+1 = 0  
RDV
1 = PV – FV – DB1
({Y–1}≠12)
({Y–1}≠12)
100n
Y–1I%
DB
1 = PV × 
100n
I%
12
×
×
DB
j = (RDVj–1 + FV )
RDVj = RDVj–1 – DBj
DBn +1 = RDVn 
RDVn+1 = 0