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Financial Modeling Fundamentals:
5. Fixed Assets
Overview
01
OVERVIEW
The Apple financial model is now complete down to EBITDA in
the income statement and contains working capital
adjustments to allow for the cash flow impacts of debtors,
inventory, and creditors. It is now time to forecast the capital
expenditure, fixed assets, and depreciation of the business.
Capital expenditure, fixed assets, and depreciation exist due
to the accounting matching concept, which requires that
expenses are aligned with the revenues they derive when they
are reported in the income statement. Because some
expenses provide multiple-year benefits – such as the
purchase of a machine with a 5-year life span – these
expenses must be allocated across the periods in which they
provide benefit to avoid lumpy earnings on the income
statement.
Expenditure that is incurred to purchase assets that provide
multiple-year benefits is called capital expenditure and is allocated
across multiple income statement periods via depreciation. Any
undepreciated capital expenditure amounts are reported as fixed
assets in the non-current assets section of the balance sheet, at
what is referred to as their net written-down value – i.e. the value of
its initial capital expenditure written down by its accumulated
depreciation.
From a financial modeling perspective, the basic relationship
between capital expenditure, fixed assets, and depreciation can be
expressed as follows:
Opening Fixed Assets Balance + Capital Expenditure –
Depreciation = Closing Fixed Assets Balance
OVERVIEW
The following table shows this relationship for a single
asset costing $100 with a useful life of 5 years
purchased at the start of the 1st year:
In this example the straight-line deprecation method
has been used, which depreciates the cost of the asset
pro rata across the years of its useful life. Other more
complex depreciation methods include the declining
balance method and sum-of-the-year's digits method.
The modeling of these depreciation methods is outside
the scope of this exercise, but they all achieve the
same outcome of reducing the net written down value
(i.e. closing balance) of assets over their useful life.
Fixed Assets – Depreciation Schedule
OVERVIEW
In reality, asset modeling can become very complicated if
allowing for things such as asset revaluations, write-offs, and
sales. But in most financial models these are ignored, and the
above relationship is assumed to be sufficient for forecasting
fixed asset balances.
For completeness, it should be noted that there is a difference
between depreciation and amortization, even though they are
often grouped together in financial statements like those in
Apple's annual report. Put simply, tangible assets – such as
plant and equipment – are depreciated,
while intangible assets – such as patents and trademarks –
are amortized.
Intangible assets are distinguished from tangible assets primarily
because they are less likely to have value in an insolvency event,
and therefore help investors understand the risks associated with a
business.
The net written down value of Apple's fixed assets for the past two
financial years can be found within the non-current assets section
of its balance sheet on page 33 of its annual report. Based on notes
to the financial statements this includes Apple's tangible and
intangible assets.
OVERVIEW
Apple's closing Property, plant and
equipment, net for FY20 was $36,766m,
which was slightly lower than its FY19
closing balance of $37,378m, as shown
here:
This decrease in FY20 simplistically
implies that the depreciation of Apple's
fixed assets during FY20 was greater
than the capital expenditure it incurred
purchasing new and maintaining existing
assets.
Apple – Fixed Assets
OVERVIEW
Depreciation and amortization are not
explicitly broken out in Apple's income
statement, but have been added back
in the indirect cash flow statement on
page 35. This is because depreciation
and amortization are non-cash
expenses which have been included
in NPAT and must therefore be
removed when calculating cash flows,
as shown here:
Apple – Depreciation & Amortization
OVERVIEW
It is often very difficult to gain a clear
understanding of the exact capital
expenditure and depreciation amounts of a
business based only on the information
within its annual report, and Apple is no
exception.
Simplistically, an indication of Apple's capital
expenditure for FY20 can be calculated by
back-solving it from the movement in fixed
assets on the balance sheet and depreciation
and amortization add-back on the cash flow
statement, as follows:
Apple – Basic Capital Expenditure Calculation
OVERVIEW
Based on the decrease in Property, plant and
equipment, net during FY20 from $37,378m to
$36,766m and depreciation and amortization of
$11,056m, Apple's implied capital expenditure
for FY20 was $10,444m.
This analysis is logical, but does result in a
significantly higher capital expenditure number
than the $7,309m reported as Payments for
acquisition of property, plant and equipment in
the cash flow statement for FY20, as shown
here:
Apple – Cash Flow Statement PP&E Capital
Expenditure
OVERVIEW
Further complicating things, the notes to the financial
statements on page 37 of the annual report indicate
that β€œDepreciation and amortization expense on
property and equipment was $9.7 billion” in FY20,
which is different to the $11,056m added back in the
indirect cash flow statement.
There are many possible reasons for these
differences. For example, there may have been
revaluations of tangible or intangible assets reported
within property, plant and equipment which increased
the value of these assets without capital expenditure.
Some fixed assets may also have been included
within Apple's reported $42,522m of other non-current
assets. Assets may also have been sold during the
period or acquired by acquisitions not reported in
capital expenditure.
Apple – Depreciation & Amortization
When building a financial model, sufficient research needs to
be done with the available information to facilitate justifying
forecasts with regards to historical data. In this instance, the
historical data is unclear, so decisions must be made about
how to interpret the available annual report data as a basis for
forecasting.
Given that the FY20 depreciation and amortization add-back
amount of $11,056m was subtracted from cost of goods sold
when determining margin assumptions when forecasting cost
of goods sold, it is reasonable to use this figure as the FY20
fixed assets depreciation and amortization amount when
forecasting fixed assets.
And assuming that the fixed assets balance on the balance
sheet reflects all assets to which depreciation and amortization
relates, it is a reasonable simplifying assumption to use the
implied $10,444m capital expenditure number as a basis for
forecasting capital expenditure.
OVERVIEW
In the Apple financial model, activate the
opening balance sheet in position 1.b. of the
table of contents. Enter the FY20 closing
balance of $36,766m as the fixed assets
opening balance assumption into cell J12, as
shown here:
Fixed Assets – Opening Balance
Sheet
OVERVIEW
Note that while the opening
balance sheet automatically
balances via the retained profits
balancing item, the forecast
balance sheet disbalances
because it does not yet allow for
the inclusion of fixed assets in the
forecasts.
Activate the forecasts sheet in
position 1.c. of the table of
contents. The fixed assets forecast
assumptions are located in rows
23 – 24, as shown below:
Fixed Assets – Assumptions
OVERVIEW
Capital expenditure has been forecast to increase from
$10,444m in FY20 to $11,000m in FY21 and thereafter
increase by $100m per year, reflecting Apple's
investment in its growing services business lines.
Deprecation has been forecast as 95% of capital
expenditure in each year, which will result in forecast
fixed assets increasing over time by 5% of capital
expenditure.
In most financial models, depreciation would be
forecast using a depreciation method such as the
straight-line method, but a simplified approach has
been taken in this exercise to focus on the way in which
fixed assets flows through the financial model rather
than the complexities of depreciation forecasting.
Irrespective of the approach used to model depreciation
in a financial model, the key is ensuring that depreciation
is related to capital expenditure and fixed asset balances,
so that depreciation forecasts change when forecast
capital expenditure assumptions are changed.
Calculating forecast depreciation as a percentage of
forecast capital expenditure is simplistic, but viable when
modeling many steady state businesses, as their
depreciation will usually be a fairly consistent percentage
of their capital expenditure.
For FY21, these assumptions will result in Apple's
forecast fixed assets increasing by $550m from
$36,766m to $37,316m.
This is the net of an increase from capital expenditure of
$11,000m and decrease from depreciation of $10,450m.
OVERVIEW
Unlike revenues, expenses, debtors, and
creditors, which each impact only two of the
financial statements, fixed assets impact all
three financial statements.
Capital expenditure is reported as an investing
cash flow in the cash flow statement,
depreciation is reported as a non-cash expense
in the income statement, and the closing written
down value is reported on the balance sheet, as
shown below for Apple during FY21:
Note that when forecasting depreciation based
on an assumed percentage of capital
expenditure, the depreciation expense includes
both the depreciation of fixed assets purchased
during the period as well as the depreciation of
fixed assets on the balance sheet at the start of
the period.
Fixed Assets – Financial Statement Impacts (FY21)
OVERVIEW
This simplified approach prevents the need to
separately forecast the depreciation of capital
expenditure in each forecast period, which is
what makes modeling assets using methods
such as the straight-line depreciation method a
lot more complicated.
For example, if the $11,000m of capital
expenditure in FY21 related to a single asset
purchased at the beginning of the financial year
with a useful life of 5 years, and the straight-line
depreciation method is used to depreciation this
asset, $2,200m (i.e. $11,000m Γ· 5 years) of the
$10,450m depreciation expense in the income
statement would relate to this capital
expenditure. The remaining $8,250m (i.e.
$10,450m - $2,200m) would relate to fixed
assets purchased in prior years that are still
depreciating.
The reality is that Apple purchases a large
number of different assets at different times
throughout the year, so the financial modeling of
assets is necessarily always a simplification of
reality.
Fixed Assets – Financial Statement Impacts (FY21)
Capital Expenditure
02
CAPITAL
EXPENDITURE
Activate the cash flow statement (sheet in position 2.c. of the table of contents), then add capital expenditure by entering the following
heading into column B and data in columns J – N of the following row:
Row Heading Data
28 Capital Expenditure =-Forecasts!J23
This formula simply equals the capital expenditure in each period to the capital expenditure forecast assumptions, subtracting it so that
capital expenditure is reported on the cash flow statement as a cash outflow.
Ensure that capital expenditure is included in net cash flow from investing activities by entering the following formula in cell J30, then copy
and paste across the range J30:N30:
=J28
CAPITAL EXPENDITURE
After doing this, the net change in cash
held forecasts should start at $68,418m in
FY21 and increase to $74,497m in FY25,
as shown here:
Capital expenditure has now been
included in the cash flow statement, but
the balance sheet still does not balance
because the income statement does not
include depreciation and the balance
sheet does not include the written down
value of fixed assets.
Cash Flow Statement – Capital Expenditure
Depreciation
03
DEPRECIATION
To add depreciation to the income statement, activate the income statement (sheet in position 2.a. of the table of contents), then enter the
following heading into column B and data in columns J – N of the following row:
Row Heading Data
17 Depreciation & Amortization =-Forecasts!J23*Forecasts!J24
This formula calculates the depreciation in each period by multiplying the capital expenditure assumption by the depreciation percentage of
capital expenditure assumption, negating the result to ensure depreciation expense is negative on the income statement.
Ensure that this depreciation is included in EBIT by amending the formula in the EBIT calculation cell J18 with the following formula, then
copy and paste across the range J18:N18:
=SUM(J16:J17)
DEPRECIATION
After doing this, EBIT should equal
$68,961m in FY21 and increase to
$72,537m in FY25, as shown here:
Capital expenditure and
depreciation have now been
included in the cash flow statement
and income statement respectively,
but the balance sheet remains
unbalanced because it does not yet
contain the fixed assets closing
balances.
Income Statement – Depreciation & Amortization
WRITTEN DOWN VALUES
To add fixed assets written down values to the balance sheet, activate the balance sheet (in position 2.b. of the table of contents), then add
these closing balances by entering the following heading into column B and data in columns J – N of the following row:
Row Heading Data
20 Fixed Assets =IF(J$7=1,OBS!$J12,I20)-CFS!J28+IS!J17
This formula calculates the written down value of fixed assets in each period by taking the prior period closing balance, adding capital
expenditure, then subtracting depreciation and amortization. In the first forecast period, the prior fixed assets balance must be sourced
from the opening balance sheet, while in subsequent periods it is sourced from the prior cell in the balance sheet.
Capital expenditure must be subtracted because it is already a negative number in the cash flow statement, while depreciation is added
because it is negative in the income statement. These nuances with signage highlight the importance of using a consistent approach to
signage across the income statement and cash flow statement.
Ensure that the fixed assets closing balances are included in total assets by overwriting the zero value in the total non-current assets
calculation cell J22 with the following formula, then copy and paste across the range J22:N22:
=J20
WRITTEN DOWN VALUES
After doing this, total non-current assets
should equal $37,316m in FY21 and increase
to $39,566m in FY25, and the balance sheet
should balance, as shown below:
Balance Sheet – Fixed Assets
WRITTEN DOWN VALUES
Note that the balance sheet now balances because the movement in fixed assets on
the balance sheet in each period is the net of the increase from capital expenditure in
the cash flow statement and decrease from depreciation in the income statement.
Fixed assets are forecast to increase in all forecast periods due to depreciation being
assumed to be 95% of capital expenditure.
The Apple financial model now contains fixed assets on the balance sheet and is
complete down to EBIT on the income statement.

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5. Fixed Assets.pptx

  • 3. OVERVIEW The Apple financial model is now complete down to EBITDA in the income statement and contains working capital adjustments to allow for the cash flow impacts of debtors, inventory, and creditors. It is now time to forecast the capital expenditure, fixed assets, and depreciation of the business. Capital expenditure, fixed assets, and depreciation exist due to the accounting matching concept, which requires that expenses are aligned with the revenues they derive when they are reported in the income statement. Because some expenses provide multiple-year benefits – such as the purchase of a machine with a 5-year life span – these expenses must be allocated across the periods in which they provide benefit to avoid lumpy earnings on the income statement. Expenditure that is incurred to purchase assets that provide multiple-year benefits is called capital expenditure and is allocated across multiple income statement periods via depreciation. Any undepreciated capital expenditure amounts are reported as fixed assets in the non-current assets section of the balance sheet, at what is referred to as their net written-down value – i.e. the value of its initial capital expenditure written down by its accumulated depreciation. From a financial modeling perspective, the basic relationship between capital expenditure, fixed assets, and depreciation can be expressed as follows: Opening Fixed Assets Balance + Capital Expenditure – Depreciation = Closing Fixed Assets Balance
  • 4. OVERVIEW The following table shows this relationship for a single asset costing $100 with a useful life of 5 years purchased at the start of the 1st year: In this example the straight-line deprecation method has been used, which depreciates the cost of the asset pro rata across the years of its useful life. Other more complex depreciation methods include the declining balance method and sum-of-the-year's digits method. The modeling of these depreciation methods is outside the scope of this exercise, but they all achieve the same outcome of reducing the net written down value (i.e. closing balance) of assets over their useful life. Fixed Assets – Depreciation Schedule
  • 5. OVERVIEW In reality, asset modeling can become very complicated if allowing for things such as asset revaluations, write-offs, and sales. But in most financial models these are ignored, and the above relationship is assumed to be sufficient for forecasting fixed asset balances. For completeness, it should be noted that there is a difference between depreciation and amortization, even though they are often grouped together in financial statements like those in Apple's annual report. Put simply, tangible assets – such as plant and equipment – are depreciated, while intangible assets – such as patents and trademarks – are amortized. Intangible assets are distinguished from tangible assets primarily because they are less likely to have value in an insolvency event, and therefore help investors understand the risks associated with a business. The net written down value of Apple's fixed assets for the past two financial years can be found within the non-current assets section of its balance sheet on page 33 of its annual report. Based on notes to the financial statements this includes Apple's tangible and intangible assets.
  • 6. OVERVIEW Apple's closing Property, plant and equipment, net for FY20 was $36,766m, which was slightly lower than its FY19 closing balance of $37,378m, as shown here: This decrease in FY20 simplistically implies that the depreciation of Apple's fixed assets during FY20 was greater than the capital expenditure it incurred purchasing new and maintaining existing assets. Apple – Fixed Assets
  • 7. OVERVIEW Depreciation and amortization are not explicitly broken out in Apple's income statement, but have been added back in the indirect cash flow statement on page 35. This is because depreciation and amortization are non-cash expenses which have been included in NPAT and must therefore be removed when calculating cash flows, as shown here: Apple – Depreciation & Amortization
  • 8. OVERVIEW It is often very difficult to gain a clear understanding of the exact capital expenditure and depreciation amounts of a business based only on the information within its annual report, and Apple is no exception. Simplistically, an indication of Apple's capital expenditure for FY20 can be calculated by back-solving it from the movement in fixed assets on the balance sheet and depreciation and amortization add-back on the cash flow statement, as follows: Apple – Basic Capital Expenditure Calculation
  • 9. OVERVIEW Based on the decrease in Property, plant and equipment, net during FY20 from $37,378m to $36,766m and depreciation and amortization of $11,056m, Apple's implied capital expenditure for FY20 was $10,444m. This analysis is logical, but does result in a significantly higher capital expenditure number than the $7,309m reported as Payments for acquisition of property, plant and equipment in the cash flow statement for FY20, as shown here: Apple – Cash Flow Statement PP&E Capital Expenditure
  • 10. OVERVIEW Further complicating things, the notes to the financial statements on page 37 of the annual report indicate that β€œDepreciation and amortization expense on property and equipment was $9.7 billion” in FY20, which is different to the $11,056m added back in the indirect cash flow statement. There are many possible reasons for these differences. For example, there may have been revaluations of tangible or intangible assets reported within property, plant and equipment which increased the value of these assets without capital expenditure. Some fixed assets may also have been included within Apple's reported $42,522m of other non-current assets. Assets may also have been sold during the period or acquired by acquisitions not reported in capital expenditure. Apple – Depreciation & Amortization When building a financial model, sufficient research needs to be done with the available information to facilitate justifying forecasts with regards to historical data. In this instance, the historical data is unclear, so decisions must be made about how to interpret the available annual report data as a basis for forecasting. Given that the FY20 depreciation and amortization add-back amount of $11,056m was subtracted from cost of goods sold when determining margin assumptions when forecasting cost of goods sold, it is reasonable to use this figure as the FY20 fixed assets depreciation and amortization amount when forecasting fixed assets. And assuming that the fixed assets balance on the balance sheet reflects all assets to which depreciation and amortization relates, it is a reasonable simplifying assumption to use the implied $10,444m capital expenditure number as a basis for forecasting capital expenditure.
  • 11. OVERVIEW In the Apple financial model, activate the opening balance sheet in position 1.b. of the table of contents. Enter the FY20 closing balance of $36,766m as the fixed assets opening balance assumption into cell J12, as shown here: Fixed Assets – Opening Balance Sheet
  • 12. OVERVIEW Note that while the opening balance sheet automatically balances via the retained profits balancing item, the forecast balance sheet disbalances because it does not yet allow for the inclusion of fixed assets in the forecasts. Activate the forecasts sheet in position 1.c. of the table of contents. The fixed assets forecast assumptions are located in rows 23 – 24, as shown below: Fixed Assets – Assumptions
  • 13. OVERVIEW Capital expenditure has been forecast to increase from $10,444m in FY20 to $11,000m in FY21 and thereafter increase by $100m per year, reflecting Apple's investment in its growing services business lines. Deprecation has been forecast as 95% of capital expenditure in each year, which will result in forecast fixed assets increasing over time by 5% of capital expenditure. In most financial models, depreciation would be forecast using a depreciation method such as the straight-line method, but a simplified approach has been taken in this exercise to focus on the way in which fixed assets flows through the financial model rather than the complexities of depreciation forecasting. Irrespective of the approach used to model depreciation in a financial model, the key is ensuring that depreciation is related to capital expenditure and fixed asset balances, so that depreciation forecasts change when forecast capital expenditure assumptions are changed. Calculating forecast depreciation as a percentage of forecast capital expenditure is simplistic, but viable when modeling many steady state businesses, as their depreciation will usually be a fairly consistent percentage of their capital expenditure. For FY21, these assumptions will result in Apple's forecast fixed assets increasing by $550m from $36,766m to $37,316m. This is the net of an increase from capital expenditure of $11,000m and decrease from depreciation of $10,450m.
  • 14. OVERVIEW Unlike revenues, expenses, debtors, and creditors, which each impact only two of the financial statements, fixed assets impact all three financial statements. Capital expenditure is reported as an investing cash flow in the cash flow statement, depreciation is reported as a non-cash expense in the income statement, and the closing written down value is reported on the balance sheet, as shown below for Apple during FY21: Note that when forecasting depreciation based on an assumed percentage of capital expenditure, the depreciation expense includes both the depreciation of fixed assets purchased during the period as well as the depreciation of fixed assets on the balance sheet at the start of the period. Fixed Assets – Financial Statement Impacts (FY21)
  • 15. OVERVIEW This simplified approach prevents the need to separately forecast the depreciation of capital expenditure in each forecast period, which is what makes modeling assets using methods such as the straight-line depreciation method a lot more complicated. For example, if the $11,000m of capital expenditure in FY21 related to a single asset purchased at the beginning of the financial year with a useful life of 5 years, and the straight-line depreciation method is used to depreciation this asset, $2,200m (i.e. $11,000m Γ· 5 years) of the $10,450m depreciation expense in the income statement would relate to this capital expenditure. The remaining $8,250m (i.e. $10,450m - $2,200m) would relate to fixed assets purchased in prior years that are still depreciating. The reality is that Apple purchases a large number of different assets at different times throughout the year, so the financial modeling of assets is necessarily always a simplification of reality. Fixed Assets – Financial Statement Impacts (FY21)
  • 17. CAPITAL EXPENDITURE Activate the cash flow statement (sheet in position 2.c. of the table of contents), then add capital expenditure by entering the following heading into column B and data in columns J – N of the following row: Row Heading Data 28 Capital Expenditure =-Forecasts!J23 This formula simply equals the capital expenditure in each period to the capital expenditure forecast assumptions, subtracting it so that capital expenditure is reported on the cash flow statement as a cash outflow. Ensure that capital expenditure is included in net cash flow from investing activities by entering the following formula in cell J30, then copy and paste across the range J30:N30: =J28
  • 18. CAPITAL EXPENDITURE After doing this, the net change in cash held forecasts should start at $68,418m in FY21 and increase to $74,497m in FY25, as shown here: Capital expenditure has now been included in the cash flow statement, but the balance sheet still does not balance because the income statement does not include depreciation and the balance sheet does not include the written down value of fixed assets. Cash Flow Statement – Capital Expenditure
  • 20. DEPRECIATION To add depreciation to the income statement, activate the income statement (sheet in position 2.a. of the table of contents), then enter the following heading into column B and data in columns J – N of the following row: Row Heading Data 17 Depreciation & Amortization =-Forecasts!J23*Forecasts!J24 This formula calculates the depreciation in each period by multiplying the capital expenditure assumption by the depreciation percentage of capital expenditure assumption, negating the result to ensure depreciation expense is negative on the income statement. Ensure that this depreciation is included in EBIT by amending the formula in the EBIT calculation cell J18 with the following formula, then copy and paste across the range J18:N18: =SUM(J16:J17)
  • 21. DEPRECIATION After doing this, EBIT should equal $68,961m in FY21 and increase to $72,537m in FY25, as shown here: Capital expenditure and depreciation have now been included in the cash flow statement and income statement respectively, but the balance sheet remains unbalanced because it does not yet contain the fixed assets closing balances. Income Statement – Depreciation & Amortization
  • 22. WRITTEN DOWN VALUES To add fixed assets written down values to the balance sheet, activate the balance sheet (in position 2.b. of the table of contents), then add these closing balances by entering the following heading into column B and data in columns J – N of the following row: Row Heading Data 20 Fixed Assets =IF(J$7=1,OBS!$J12,I20)-CFS!J28+IS!J17 This formula calculates the written down value of fixed assets in each period by taking the prior period closing balance, adding capital expenditure, then subtracting depreciation and amortization. In the first forecast period, the prior fixed assets balance must be sourced from the opening balance sheet, while in subsequent periods it is sourced from the prior cell in the balance sheet. Capital expenditure must be subtracted because it is already a negative number in the cash flow statement, while depreciation is added because it is negative in the income statement. These nuances with signage highlight the importance of using a consistent approach to signage across the income statement and cash flow statement. Ensure that the fixed assets closing balances are included in total assets by overwriting the zero value in the total non-current assets calculation cell J22 with the following formula, then copy and paste across the range J22:N22: =J20
  • 23. WRITTEN DOWN VALUES After doing this, total non-current assets should equal $37,316m in FY21 and increase to $39,566m in FY25, and the balance sheet should balance, as shown below: Balance Sheet – Fixed Assets
  • 24. WRITTEN DOWN VALUES Note that the balance sheet now balances because the movement in fixed assets on the balance sheet in each period is the net of the increase from capital expenditure in the cash flow statement and decrease from depreciation in the income statement. Fixed assets are forecast to increase in all forecast periods due to depreciation being assumed to be 95% of capital expenditure. The Apple financial model now contains fixed assets on the balance sheet and is complete down to EBIT on the income statement.