What's the difference between SYD and straight-line depreciation?

SYD (sum-of-years-digits) assigns larger deductions to earlier years and progressively smaller amounts to later years, reflecting the asset's steeper early-life value loss. SLN divides the depreciable base equally across all periods, producing the same deduction every year. SYD is more aggressive early; SLN is constant and simpler.

Can I use SYD for tax reporting?

Yes, in many jurisdictions SYD is an IRS-approved depreciation method for qualified property (though it is less common today than MACRS). Always consult your tax advisor or local tax authority to confirm SYD is permitted for your asset type and situation.

What should I do if my per value exceeds the asset's life?

SYD returns #NUM! if per > life because depreciation is only defined for periods within the asset's useful life. Verify that your period number is correct (e.g., year 5 of a 30-year asset, not year 35).

How does SYD depreciation compare to accelerated methods like double-declining balance?

Both SYD and DDB accelerate deductions early, but DDB typically produces even larger first-year deductions and applies a constant rate to the declining book value, whereas SYD uses a declining fraction of the fixed depreciable base. The choice depends on your tax strategy and jurisdiction rules.

SYD function

SYD returns the sum-of-years-digits depreciation of an asset for a specified period, front-loading deductions in early years.

=SYD(cost, salvage, life, per)

Generate a SYD formula

Describe what you need. The generator will reach for SYD where SYD is the right tool, and tell you when it is not.

Arguments

How SYD reads its arguments

Argument	Required	Description
cost	Required	The initial cost of the asset; must be non-negative. Typically a purchase price or acquisition amount.
salvage	Required	The salvage (residual) value at the end of the asset's useful life; must be non-negative and ≤ cost. Often zero.
life	Required	The useful life of the asset in periods (typically years); must be a positive integer. If zero or negative, SYD returns #NUM!.
per	Required	The specific period for which to calculate depreciation; must be a positive integer ≤ life. If per > life, returns #NUM!.

Returns

A number representing the depreciation expense (in the same units as cost) for the given period.

Availability

Excel: All · Google Sheets: Supported

Worked examples

1. Calculate first-year depreciation for a rental property

Address	Beds	Baths	List Price	Days on Market
425 Maple Drive	3	2	450000	45
1205 Oak Lane	4	3	625000	28
892 Pine Street	2	1	275000	62

=SYD(450000, 300000, 30, 1)

Result: $9,677.42

The 425 Maple Drive property was acquired at the $450,000 list price with an expected salvage value of $300,000 after a 30-year hold period. SYD calculates year 1 depreciation as (30 remaining years / 465 total sum-of-years) × ($450,000 − $300,000), which front-loads the deduction in the first year.

2. Calculate fifth-year depreciation for a higher-priced property

Address	Beds	Baths	List Price	Days on Market
425 Maple Drive	3	2	450000	45
1205 Oak Lane	4	3	625000	28
892 Pine Street	2	1	275000	62

=SYD(625000, 400000, 30, 5)

Result: $12,580.65

By year 5 of the Oak Lane property (purchased at $625,000, salvage $400,000), the remaining useful years drop to 26 (30 − 5 + 1). The depreciation is now (26 / 465) × $225,000. Notice the deduction is lower than year 1; SYD systematically reduces annual depreciation as the asset ages.

3. Calculate mid-life depreciation for a lower-priced property

Address	Beds	Baths	List Price	Days on Market
425 Maple Drive	3	2	450000	45
1205 Oak Lane	4	3	625000	28
892 Pine Street	2	1	275000	62

=SYD(275000, 125000, 30, 15)

Result: $5,161.29

At the 15-year midpoint of the Pine Street property (purchase $275,000, salvage $125,000), remaining years total 16 (30 − 15 + 1). The sum-of-years-digits method yields (16 / 465) × $150,000 ≈ $5,161. At this stage, annual deductions have dropped significantly compared to year 1, by design.

Common errors

Which SYD error are you seeing?

Error	Why it happens	How to fix it
#NUM!	The per argument exceeds life (e.g., SYD(450000, 300000, 30, 35) requests depreciation for year 35 of a 30-year asset), or life is zero or negative.	Verify that per is a positive integer and per ≤ life. For a 30-year property, per must be between 1 and 30.
#VALUE!	One or more arguments are text, dates, or other non-numeric types (e.g., =SYD("$450,000", 300000, 30, 1) if cost is formatted as text).	Ensure all four arguments are numeric values. Remove currency symbols, text prefixes, or convert text numbers using VALUE().
#NUM!	Salvage exceeds cost (e.g., SYD(450000, 500000, 30, 1)), creating a negative depreciable base, which violates the method's assumptions.	Confirm that salvage ≤ cost. In real-estate, the salvage value should not exceed the original purchase price unless a major renovation added value.

Tips and when to use something else

SYD front-loads depreciation: year 1 deductions are much larger than year 30. This differs sharply from SLN (straight-line), which divides cost evenly across all periods.
Choose SYD when early-year tax deductions are strategically valuable (e.g., new rental property investments). For uniform depreciation, use SLN instead.
The sum-of-years formula is L × (L+1) / 2 (here, 30 × 31 / 2 = 465). Memorizing this helps you spot calculation errors.
For accelerated depreciation with an even steeper front-load, compare DDB (double-declining balance) or DB (declining balance), which compound the reduction rate.

Related functions

SLNCalculates the straight-line annual depreciation expense of an asset based on its cost, salvage value, and useful life in years.DBDB returns the periodic depreciation amount of an asset using the declining balance method, which reduces depreciation each period.DDBCalculates depreciation using the double declining balance method, an accelerated depreciation approach that depreciates assets faster in early periods.VDBVDB calculates depreciation of an asset using the declining balance method, with an optional switch to straight-line depreciation when more advantageous.RATERATE calculates the interest rate per period for an investment or loan given regular periodic payments and present/future values.

Frequently asked questions

What's the difference between SYD and straight-line depreciation?: SYD (sum-of-years-digits) assigns larger deductions to earlier years and progressively smaller amounts to later years, reflecting the asset's steeper early-life value loss. SLN divides the depreciable base equally across all periods, producing the same deduction every year. SYD is more aggressive early; SLN is constant and simpler.
Can I use SYD for tax reporting?: Yes, in many jurisdictions SYD is an IRS-approved depreciation method for qualified property (though it is less common today than MACRS). Always consult your tax advisor or local tax authority to confirm SYD is permitted for your asset type and situation.
What should I do if my per value exceeds the asset's life?: SYD returns #NUM! if per > life because depreciation is only defined for periods within the asset's useful life. Verify that your period number is correct (e.g., year 5 of a 30-year asset, not year 35).
How does SYD depreciation compare to accelerated methods like double-declining balance?: Both SYD and DDB accelerate deductions early, but DDB typically produces even larger first-year deductions and applies a constant rate to the declining book value, whereas SYD uses a declining fraction of the fixed depreciable base. The choice depends on your tax strategy and jurisdiction rules.

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Reviewed 2026-09-17