Office equipment ost P14,000, has a useful life of 12 years, and a salvage value of P1,000. Using the sum of years digit method, find the value of the depreciation during the first year.

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Subject: Engineerings Economics 
Topics:
 Double Declining Balance Method(DDBM)
1. Sum-of-the-Years’-Digits (SYD) Method

Office equipment ost P14,000, has a useful life of 12 years, and a salvage value of P1,000. Using the sum of years digit method, find the value of the depreciation during the first year. 

 

USE THE REFERENCES AND FORMULA BELOW (ATTACHED ON THE PICTURE)

 

(SYD) Method
dn = depreciation charge during the nth year
d = (depreciation factor) x (total depreciation)
(C₁-C₂)
→ Sum-of-the-Years'-Digits
reverse digit
sum of digits
L
years =(L + 1)
dn
=
Example: a property whose life is 5 years
Year
in
Reverse Order
5
Year
1
2
4
3
3
4
2
5
1
15 = { of digits
st
Depreciation
factor
5/15
4/15
3/15
2/15
1/15
Depreciation during the
year
(5/15) (C. - C₂)
(4/15) (C. - C₂)
(3/15) (C. - C₁)
(2/15) (C. - C₂)
(1/15) (Co-C₂)
Transcribed Image Text:(SYD) Method dn = depreciation charge during the nth year d = (depreciation factor) x (total depreciation) (C₁-C₂) → Sum-of-the-Years'-Digits reverse digit sum of digits L years =(L + 1) dn = Example: a property whose life is 5 years Year in Reverse Order 5 Year 1 2 4 3 3 4 2 5 1 15 = { of digits st Depreciation factor 5/15 4/15 3/15 2/15 1/15 Depreciation during the year (5/15) (C. - C₂) (4/15) (C. - C₂) (3/15) (C. - C₁) (2/15) (C. - C₂) (1/15) (Co-C₂)
References:
Blank, L. & Tarquin, A. (2018). Engineering Economy (8th Ed.). McGraw-Hill Education.
Sullivan, W., Wicks, E. & Koelling, C. P. (2014). Engineering Economy (16th Ed.). Pearson Education South
Asia Pte Ltd.
Sta. Maria, H. (2000). Engineering Economy (3rd Ed.). National Book Store.
Arreola, M. (1993). Engineering Economy (3rd Ed.). Ken Incorporated.
Transcribed Image Text:References: Blank, L. & Tarquin, A. (2018). Engineering Economy (8th Ed.). McGraw-Hill Education. Sullivan, W., Wicks, E. & Koelling, C. P. (2014). Engineering Economy (16th Ed.). Pearson Education South Asia Pte Ltd. Sta. Maria, H. (2000). Engineering Economy (3rd Ed.). National Book Store. Arreola, M. (1993). Engineering Economy (3rd Ed.). Ken Incorporated.
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