Part 12 Applied Depreciation Flashcards
If the effective age is 15 years and the remaining economic life is 60 years, what is the percent of accrued depreciation?
Did you get 25%?
Unfortunately, that is incorrect. You need to add the age of 15 years to the remaining life of 60 to get a total life of 75 years. Age/Life is based on age divided by life (total life), not remaining life. Once you have the total life, you can calculate the depreciation:
15 years (age) / 75 years (total life) = 0.20 or 20% depreciation.
Remember, depreciation is a loss in value to
the improvements alone, as the land itself does not depreciate
The first and perhaps most preferred method of estimating depreciation is the
Market Extraction Method
To derive the depreciation estimate, select similar improved property sales and
apply the extraction process.
Market Extraction Method
Steps to use for the extraction method
1 Select sales of similar properties that have
a comparable amount of depreciation
2 Adjust the sales for certain factors such as property rights conveyed, financing, and conditions of sale
3 Subtract the value of the land at the time of sale
4 Estimate the cost of the improvements for each comparable property at the time of sale.
5 Subtract the depreciated cost of each improvement from the cost of the improvements to arrive at an estimate of total depreciation in dollars.
This is a lump-sum amount that includes all forms of depreciation.
6 Convert the dollar estimates of depreciation into percentages by dividing each estimate of total depreciation by the cost.
7 Divide the percentage of depreciation by the age of the building to convert the percentage to an annual rate.
Limitations of using extraction for estimating depreciation
- Accuracy of the method depends on the availability of comparable improved
property sales and also on vacant land or site sales. - Real property interests conveyed should be the same for the comparable
sales and the subject property because adjusting such sales would be
difficult. - As noted before, the extraction method does not separate the depreciation
into categories such as physical, functional, or external.
the extraction method does not separate
the depreciation into categories such as physical, functional, or external.
Age-Life Method of Depreciation
The following are the four essential formulas for the age-life method
- This is the simplest relationship, showing that adding the effective age and remaining economic life together will give the total economic life. For example, if you were 25 years old, and had a remaining life of 75 years, your total life would be 100 years.
- Effective age divided by economic life equals percent depreciation
- The percent of depreciation accrued multiplied by the cost gives us the dollar amount of depreciation.
- cost minus depreciation, which gives us the depreciated cost, also known as the contributory value of the improvements
We will be using several of these formulas as sequential steps in estimating the contributory value (depreciated cost) of the improvements.
First, economic life is estimated by adding together effective age and remaining economic life, for an indication of total economic life.
Then, the percent (%) of depreciation is calculated by dividing effective age by economic life, which is the use of the basic age/life ratio (formula).
If required, the percent (%) of depreciation can be multiplied by the cost of the improvements to reflect the dollar amount of depreciation.
Finally, if the dollars of depreciation are subtracted from the cost, the value will be the difference.
He owns a building that has a current cost of $400,000. Economic life is 80 years and IO is $35,000. The capitalization rate is 9% and remaining economic life is 70 years. What is the percent of depreciation for the building?
80 (total life) - 70 (remaining life) = 10 yrs effective age.
Now you can use formula 2 to get depreciation:
10 years (age) / 80 (life) = 0.125 or 12.5% depreciation
Actual age is 10 years
Sale price is $925,000
Site value is $250,000
Current cost is $843,750
What is the annual percent of depreciation?
This is going to be similar to the seven steps covered on page 187 of the Course Handbook. Well, first we have to take the sale price and subtract the site value.
$925,000 - $250,000 = $675,000 depreciated cost of the building
Now let’s subtract that from the current cost :
$843,750 - $675,000 = $168,750, which is the amount of depreciation
Once we have the depreciation amount, we can divide it by the current cost :
$168,750 / $843,750 = 0.2 or 20% accrued depreciation
Since the question is asking for the annual percent of depreciation we need to divide by the actual age.
0.20 / 10 years = 0.02 or 2% annual depreciation rate. This is answer C.
Accrued Depreciation formula
Effective age/economic life
Remaining economic life is 75 years
Economic life is 90 years
Site value is $150,000
Current cost is $435,000
First, we have to figure out the effective age.
90 years - 75 years = 15 years
Now let’s use formula 2 to obtain accrued depreciation:
15 years / 90 years = 0.1667 or 16.67% depreciation
Once we have the depreciation, we can multiply it by the current cost:
$435,000 X 0.1666 = $72,500 amount of depreciation
We need the building cost before we can add in the site value, so let’s subtract the depreciation from current cost.
$435,000 - $72,500 = $362,500 value of improvements
You might think we’re done, but wait! We need to add in the value of the land too.
$362,500 + $150,000 = $512,500
The _____ method is the simplest way to estimate accrued depreciation.
Most commonly used method of depreciation.
Age-life method.
Works best for newer properties
is based on a ratio
it assumes every building depreciates on a straight-line basis over the course of its economic life.
Another weakness is that age-life
does not divide depreciation into subcategories
Age-life does not distinguish between short-lived and long-lived items of depreciation
Since depreciation for this method is assumed to be straight-line, you can use market data to derive the economic life from comparable sales
Age-life Depreciation
Economic life = 100% \ Annual % depreciation
Let me give you an example of how this works. Assume that you had used the methodology discussed above to extract the annual rate of depreciation from several comparable sales of 1.25% per year. You want to know the implied economic life of the improvements. The question becomes: At a level rate of 1.25% per year, how long will it take for all of the value to be depreciated? I can work this one out in my head, and I’m sure you can too. It is 80 years. Don’t see it? Then use the formula as follows:
Economic Life = 100% / Annual % Depreciation
Economic Life = 1 (100 percent) / 0.0125 (% annual rate)
Economic Life = 80 years
Introducing the Breakdown Method
Why is it called the breakdown method?
It’s called the breakdown method because the structure is broken down into various components based upon the time they will contribute value, such as in the short-run, the long-run, or never (as in the case of a component that is broken and in need of immediate repair).