ENGINEERING ECONOMICS: DEPRECIATION WITH
CALCULATOR TRICKS
N. Tabanao
Email:heartfiglia143@gmail.com
May 2018
Calculators Used:
Casio Fx-115 ES PLUS
Casio Fx-570 ES PLUS
Casio Fx-991 ES PLUS
Depreciation
Depreciation is the decrease in the value of an asset due passage of
time.
Elements:
FC = 1st cost
SV = salvage value
d = depreciation charge
n = economic life of the property
m = any time before n
BVm = book value after m years
Dm = total depreciation for m years
Methods of Computing Depreciation Calculator Trick
Straight Line Method Y A BX MODE 3 2
FC SV FC SV
d n 1 ; D m d ( F / A, i, m)
Sinking Fund Method ( F / A, i, n)
((1 i) )
0
x
Declining Balance Method Y A B ^ x MODE 3 6
Double Declining Balance Method Y A B ^ x MODE 3 6
Sum-of-Year’s Digits Method Y _ cX 2 MODE 3 3
Problem presented is made up.
Straight Line Method
An engineer’s transit has a first cost of PhP 500,000 life of 4 years and
a salvage value of PhP 130,000. What is the book value of the
equipment after 2 years using straight line method?
MODE 3 2 Y A BX
X Y
0 500,000
4 130,000
AC
2 y = PhP 315,000
Sinking Fund Method
Same problem. Book value after 2 years using sinking fund method?
Assume interest at 5% compounded annually.
n 4 yrs ; m 2 yrs
FC SV FC SV 500000 130000
d n 1 41 A (Store to A)
( F / A, i, n)
0
((1 i) ) ((1 5%) )
x
0
x
2 1
Dm d ( F / A, i, m) A ((1 5%) x ) ( B Store to B)
0
Book value after 2 years = 500,000-B = PhP 324,019
Declining Balance Method
Same problem. Book value after 2 years using declining balance
method?
MODE 3 6 Y A B ^ x
X Y
0 500,000
4 130,000
AC
2 y = PhP 254,951
Double Declining Balance Method
Same problem. Book value after 2 years using double declining
balance method?
MODE 3 6 Y A B ^ x
X Y
0 500,000
4 2
500000(1 ) 4
4
AC
2 y = PhP 125,000
Sum-of-Year’s Digits Method
Same problem. Book value after 2 years using Sum-of-Year’s Digits
Method?
MODE 3 3 Y _ cX 2
X Y
0 500,000
4 130,000
5 130,000
AC
2 y = PhP 241,000
Comparison of the answers.
Straight Line Method PhP 315,000
Sinking Fund Method PhP 324,019
Declining Balance Method PhP 254,951
Double Declining Balance Method PhP 125,000
Sum-of-Year’s Digits Method PhP 241,000
I will appreciate any suggestion and will welcome any errors
pointed out.