Week 9 – Chapters 13-15
INFO630 Week 9 1 www.ischool.drexel.edu
Chapter 13
INFO630 Week 9 2 www.ischool.drexel.edu
Inflation and Deflation
• Think about the last time you bought something you’ve bought before
– How much did you pay?
– How much did you pay the first time it was bought?
– Was it the same price both times?
• Most likely not
• Prices change over time
– Short term
– Long-term
INFO630 Week 9 3 www.ischool.drexel.edu
Inflation and Deflation
• Inflation and deflation, defined
• Price indices, Consumer Price Index,
Produce Price Index
• Inflation rate
• Purchasing power and inflation
• Accounting for inflation
INFO630 Week 9 4 www.ischool.drexel.edu
• Refer to long-term trends in prices
– Inflation same things cost more than before
– Deflation same things cost less than before
• Generally refer to the overall economy, not specific products and services
– Long term changes in the “purchasing power” of money
• Tendency for inflation over last 50+ years but significant deflation has happened
– Note: General trend in 1800’s was deflation
(caused by industrial revolution),
INFO630 Week 9 5 www.ischool.drexel.edu
• Inflation
– Government price support polices (subsidies)
– Deficit spending
– Higher production costs
• Wage increase of workers
– Lower availability of resources
• Deflation
– More efficient production methods
• Lowers production cost
– Higher availability of resources
INFO630 Week 9 6 www.ischool.drexel.edu
Average Relative Price Level (CPI),
1913-2002
200.0
180.0
160.0
140.0
120.0
100.0
80.0
60.0
40.0
20.0
0.0
1900 1920 1940 1960 1980 2000 2020
NOTE: Shows a substantial change in relative prices over time. Something that sold for about 10 cents in 1910 would go for nearly $2 today .
INFO630 Week 9 7 www.ischool.drexel.edu
• If planning horizon is long or high annual inflation rate
– Can cause noticeable change in value of proposal
– Might need to address during decision
• If planning horizon is short or inflation is weak
– Might be able to just ignore
• Overall it is a judgment call on the decision makers part
INFO630 Week 9 8 www.ischool.drexel.edu
Price Indices:
- Measuring Inflation and Deflation
• Ratio (expressed as percentage) of historical price to price at another time
PriceIndex now
Price
Price now then
100
• Example
– Gas in 2005 ($2.00) vs. gas in 1999 ($1.40)
GasPriceIn dex
2005
$2.00
2005
$1.40
1999
100
143 %
INFO630 Week 9 9 www.ischool.drexel.edu
Creating a Price Index
• Define a “market basket”
– Reference shopping list with kinds and amounts
• Choose a reference date
• Price the market basket on the reference date
• Price the market basket today
• Price index = ratio of current price to price on reference date
INFO630 Week 9 10 www.ischool.drexel.edu
• Consumer Price Index (CPI)
– Change from retail purchase’s perspective
• Producer Price Index (PPI)
– Change from sellers perspective
• Complied by Department of Labor and
Department of Commerce
INFO630 Week 9 11 www.ischool.drexel.edu
Consumer Price Index (CPI)
• Measures price change from retail purchaser’s perspective
– Based on spending habits of average household consumer
• Market basket of about 400 goods and services
– Housing
– Food and beverage
– Apparel
– Transportation
– Medical care
– Recreation
– Education
– Utilities and fuels, etc.
• Reference date for CPI isn’t a single point in time
– Based on average of three years (1982-1984)
INFO630 Week 9 12 www.ischool.drexel.edu
Producer Price Index (PPI)
• Family of price indices
– Measures change in selling prices for domestic goods and services before they reach the retail consumer
– Used for adjusting business-to-business contracts for inflation
(long term)
• Prices to be paid for in the future
• Over 500 industry-level price indices and 10,000+ specific product line and product category sub-indices
– Manufacturing, Agriculture, Forestry, Fisheries, Mining, Scrap, …
– Transportation, Utilities, Finance, Business services, Health,
Legal, Professional services, …
INFO630 Week 9 13 www.ischool.drexel.edu
Inflation Rate
• Measures rate of increase of corresponding price index
– Usually stated as an annual percentage
• Deflation rate is negative inflation rate
– 1.4% deflation = -1.4% inflation
INFO630 Week 9 14 www.ischool.drexel.edu
Single-Year Annual Inflation Rate
AnnualRate
Year(i)
PriceIndex
Year(i)
PriceIndex
PriceIndex
Year(i 1)
Year(i 1)
• Examples
CPI (1966) = 32.4
CPI (1965) = 31.5
AnnualRate
1966
32.4
31.5
31.5
2 .
9 %
CPI (2000) = 172.26
CPI (1999) = 166
AnnualRate
2000
172.2
166.6
166.6
3 .
4 %
INFO630 Week 9 15 www.ischool.drexel.edu
Annual Inflation Rate, 1914 - 2002
20.0%
15.0%
10.0%
5.0%
0.0%
-5.0%
1900
-10.0%
-15.0%
1920 1940 1960 1980 2000 2020
INFO630 Week 9 16 www.ischool.drexel.edu
Average Annual Inflation Rate f
n
CPI t
n
CPI t
1
• Example
CPI (1999) = 166.6
CPI (1990) = 130.7
f
10
166.6
1999
130.7
1990
1
2 .
46 %
Note: For decisions spanning over 1 year, use Average Inflation Rate applied over entire planning horizon.
INFO630 Week 9 17 www.ischool.drexel.edu
• Inflation means
– Purchasing power if money is going down.
– “Same amount of money later on doesn’t buy as much as it did before”
– Inflation rate – tells how much more is
• Purchasing Power means
– “How much can I buy for a given amount”
• Example
– 1970 candy bar = 25 cents
– 1997 = $1.00
• Purchasing power and inflation are closely related but not equivalent
INFO630 Week 9 18 www.ischool.drexel.edu
K = PurchasingPower year(1)
= PriceIndex year(0)
------------------
PriceIndex year(1)
K = PurchasingPower
1976
= PriceIndex
(1975)
= 53.8
----------------------- = 0.946
PriceIndex
(1976)
56.9
Means: it would take $1 (end 1976) to buy same goods that could be bought for 94.6 cents (end 1975)
INFO630 Week 9 19 www.ischool.drexel.edu
Purchasing Power and Inflation
• Average loss in purchasing power over multiple years k
1 n
CPI t
CPI t
n
Example k
1 -
10
130.7
1990
166.6
1999
2 .
40 %
Average annual loss in purchasing power was 2.4% in the ’90s
INFO630 Week 9 20 www.ischool.drexel.edu
Purchasing Power and Inflation
• Purchasing power and inflation are closely related but not equivalent
(1
f ) n
(1
1 k ) n
• E xample
(1
2.46)
10
(1
1
2.40)
10
Note: fbar (annual inflation rate) thru 1990’s (above) and k-bar (average loss in purchasing power) thru 1990’s (above)
INFO630 Week 9 21 www.ischool.drexel.edu
Recap - Purchasing power and inflation
• Purchasing power and inflation are closely related but not equivalent
• Use Inflation rate when
– Ask “How much will <x> cost at <time>?”
• Use Purchasing Power when
– Ask “How much can I buy for <amount of money> at <time>?”
INFO630 Week 9 22 www.ischool.drexel.edu
Two Methods
• Actual dollar analysis
– Cash-flow instances represent actual out-ofpocket dollars paid/received at that time
– A.k.a. current dollars, escalated dollars, inflated dollars, …
• Constant dollar analysis
– Cash-flow instances represent hypothetical constant purchasing power amounts
– A.k.a. real dollars, deflated dollars, today’s dollars, …
INFO630 Week 9 23 www.ischool.drexel.edu
Actual-Constant Dollar Analogy
Rock on shore
(Beginning of planning horizon)
Ball
River speed
(Inflation)
Boat speed through water
(Interest)
Distance between boat and rock
(Constant dollars)
Distance between boat and ball
(Actual dollars)
INFO630 Week 9 24 www.ischool.drexel.edu
Converting Actual Dollars to Constant
Dollars
Constant Dollars
1
(1
f) n
Actual Dollars
• Example
Constant Dollars
1990
1
(1
0.0246)
5
$ 12.95
1995
$ 11 .
47
Note: Remember we calculated earlier that fbar thru the ’90s was 2.46%.
$12.95 in 1995 was worth the same as $11.47 in 1990.
INFO630 Week 9 25 www.ischool.drexel.edu
Converting Constant Dollars to Actual
Dollars
Actual Dollars
1
f
n
Constant Dollars
• Example
Actual Dollars
1995
1
0 .
0246
5
$ 12.95
1990
$ 14 .
63
Note: Remember we calculated earlier that fbar thru the ’90s was 2.46%. So
$12.95 in 1990 was worth the same as $14.63 in 1995.
INFO630 Week 9 26 www.ischool.drexel.edu
Actual Dollar vs. Constant Dollar Analysis
• f is the inflation rate
(speed of current in river)
• i is the market interest rate
(speed of boat through water)
• i ’ is the inflation-free interest rate
(speed of boat relative fixed point) i'
1
1
f i
1 i'
1
1
0.07
0 .
03
1
3 .
88 %
INFO630 Week 9 27 www.ischool.drexel.edu
Relationship Between Actual and Constant
Dollar Analysis
Actual Dollars
P
(1 + i)n
1
(1 + i)n
0 1 2 3
F n-1 n
Constant Dollars
P'
(1 + i') n
1
(1 + i') n
0 1 2 3
F' n-1 n
1
(1 + f)n
(1 + f)n
INFO630 Week 9 28 www.ischool.drexel.edu
Simple Example of Actual and Constant
Dollar Analysis
At 7% market interest,
$10k grows to $19,670 after 10 years —this is actual dollars
At 3.88% inflation-free interest, $10k grows to be worth $14,603 base-year dollars in year 10 —this is constant dollars
Note that $19,670 actual dollars in year 10 =
$14,630 constant dollars.
F=$19,670
P=$10,000
Actual Dollars
F/P ,7,10
(1.967)
P /F,7,10
(0.5084)
0 1 2 3
P'=$10,000
Constant Dollars
F/P ,3.88,10
(1.463)
P /F,3.88,10
(0.6835)
0 1 2 3
9 10
F'=$14,630
P /F,3,10
(0.7441)
F/P ,3,10
(1.344)
9 10
INFO630 Week 9 29 www.ischool.drexel.edu
• Inflation refers to long-term increases in prices
• A price index is the ratio of the price at one time to the price at another
• The inflation rate is the rate of increase in a price index
• Purchasing power and inflation are related but different
• Inflation can be addressed using actual dollar or constant dollar analysis
INFO630 Week 9 30 www.ischool.drexel.edu
Chapter 14
INFO630 Week 9
31 www.ischool.drexel.edu
Depreciation
• Introducing depreciation
• Value-time functions
• Book value
• Depreciation methods
– Before 1981
– 1981 through 1986
– 1987 and beyond
• Units-of-production depreciation
INFO630 Week 9 32 www.ischool.drexel.edu
• Depreciation addresses how investments in capital assets are charged off against income over several years
– Important part of calculating after-tax cash flow
INFO630 Week 9 33 www.ischool.drexel.edu
• Two different meanings
– Actual depreciation
• How an asset loses value over time
– Physical depreciation
» Literally means asset is wearing out
» Wear and tear, etc.
– Functional depreciation
» Environment where asset is operating has changed and asset is not well matched to the new environment.
» Obsolescence
– Depreciation accounting
• How the organization accounts for that loss in value
• Note:
– Actual deprecation (real loss in value) is rarely the same as depreciation accounting (how loss accounted for by organization).
– For actual depreciation – need to sell asset and see what someone will pay for it
INFO630 Week 9 34 www.ischool.drexel.edu
Key Ideas in Depreciation Accounting
• Corporations are taxed on profit, not income
– Profit = Income - Expenses
• Expenses claimed in a tax year should reflect actual expenses incurred
– Including actual depreciation, as best as it can be estimated
• Tax authorities are trying to force accounting and recognition of an asset’s loss in value to be as close as possible to when that loss actually happens (make each years income tax as realistic as possible)
– Alternatives to depreciation
• Write off in year of acquisition
• Write off in year of disposal
INFO630 Week 9 35 www.ischool.drexel.edu
Key Ideas in Depreciation Accounting (cont)
• Depreciation amounts aren’t actual cash-flow instances
– Actual cash flow happened on acquisition
– Depreciation amounts are allocation of actual expense over time
• Force company to spread recognition of original expense over asset’s assumed life
• Depreciable assets (required to be treated as):
– Used in business or trade
– Used for producing income
– Have a known lifespan >1 year
INFO630 Week 9 36 www.ischool.drexel.edu
• Mathematical function that models how an asset loses value over time
• Two types
– Straight-line
• Simplest
• Asset loses value at a constant rate
– Declining value
• Asset loses value as a fixed percentage of its remaining value over its lifetime.
INFO630 Week 9 37 www.ischool.drexel.edu
l u
V a e
•
Time
Straight-line
• l u
V a e
•
Time
Declining-balance
INFO630 Week 9 38 www.ischool.drexel.edu
• Tax authorities’ best estimate—based on depreciation accounting —of an asset’s actual value
– May or may not reflect the true value
Book Value year(t)
Book Value year(t 1)
Depreciati on year(t 1)
Book Value year(t)
Acquision Cost t i
1
Depreciati on year(i)
INFO630 Week 9 39 www.ischool.drexel.edu
Note: Method stays until disposal – doesn't change with laws
• Before 1981
– Straight-line
– Declining-balance
– Declining-balance switching to straight-line
– Sum-of-the-years-digits
• 1981 through 1986
– Accelerated cost recovery system (ACRS)
• 1987 and beyond
– Modified accelerated cost recovery system
(MACRS)
INFO630 Week 9 40 www.ischool.drexel.edu
• Broad survey of different methods
• Good foundation for today’s method
• When laws change, old method might come back to use
– You never know……
INFO630 Week 9 41 www.ischool.drexel.edu
• Before 1981 company could choose
– Straight-line
– Declining-balance
– Declining-balance switching to straight-line
– Sum-of-the-years-digits
• Steps
1.
Choose method
2.
Estimate asset useful life
1.
Based on organizations past history
2.
Class life asset depreciations range (CLADR)
See book pg 217, Figure 14.1
IRS approved useful life range
INFO630 Week 9 42 www.ischool.drexel.edu
• “Class Life Asset Depreciation Range”
– Defined lower, recommended, and upper limits on asset life spans
• Business aircraft: 5, 6, 7 years
• Autos & taxis: 2.5, 3, 3.5 years
• Agriculture equipment: 8, 10, 12 years
• Computers: 5, 6, 7 years
• Furniture: 8, 10, 12 years
• …
Note: IRS likes recommended (ADR)
INFO630 Week 9 43 www.ischool.drexel.edu
• Assumes value of asset decreases at constant rate over its useful life
• Asset loses fixed percentage of original value each year
Depreciati on
Acquisitio nCost
SalvageVal ue
LifetimeIn Years
BookValue year(t)
Acquision Cost -
t * Depreciati on
INFO630 Week 9 44 www.ischool.drexel.edu
• Example asset
– Acquisition cost = $34,000
– Salvage value = $2000
– Useful life = 5 years = n
End of Depreciation Book Value at
Year in that year end of year
0 -$34,000
1 $6400 $27,600
2 $6400 $21,200
3 $6400 $14,800
4 $6400 $8,400
5 $6400 $2,000
INFO630 Week 9 45 www.ischool.drexel.edu
• Value decreases at fixed percentage of remaining (book) value over useful life
– Depreciation amount is based on fixed percentage of book value ( a a 2/ n, n=years)
• Double declining-balance means a
= 2/n
• 150% declining-balance means a
= 1.5/n
Depreciati on year(t)
a
* BookValue year ( t
1 )
Book Value year(t)
Acquision Cost *
1 a t
INFO630 Week 9 46 www.ischool.drexel.edu
• Same asset
– Double declining-balance, a
= 2/5 = 0.40
End of Depreciation Book Value at
Year in that year end of year
0 -$34,000
1 0.40 * $34,000 = $13,600 $20,400
2 0.40 * $20,400 = $8160 $12,240
3 0.40 * $12,240 = $4896 $7344
4 0.40 * $7344 = $2938 $4406
5 0.40 * $4406 = $1763 $2644
INFO630 Week 9 47 www.ischool.drexel.edu
• Same asset
– 150% declining-balance, a
= 1.5/5 = 0.30
End of Depreciation Book Value at
Year in that year end of year
0 -$34,000
1 0.30 * $34,000 = $10,200 $23,800
2 0.30 * $23,800 = $7140 $16,660
3 0.30 * $16,660 = $4998 $11,662
4 0.30 * $11,662 = $3499 $8163
5 0.30 * $8163 = $2449 $5714
INFO630 Week 9 48 www.ischool.drexel.edu
Declining-balance Switching to Straight-line
Depreciation
• Declining-balance used initially
– Switch to straight-line when declining-balance amount is less than straight-line amount
– Mathematically – when slope of decliningbalance curve becomes less then slope of straight line.
INFO630 Week 9 49 www.ischool.drexel.edu
Declining-balance Switching to Straight-line
Depreciation (cont)
Note: Ignores salvage value l u
V a e
•
Declining Balance
Straight-line
Switch
Time
Depreciati on year(t)
max
DecliningB alance year ( t )
, StraightLi ne year ( t )
Book Value year(t)
Acquision Cost t i
1
Depreciati on year(i)
INFO630 Week 9 50 www.ischool.drexel.edu
• Same asset
– 150% declining-balance, a
= 1.5/5 = 0.30
– Straight-line = $6400
End of Depreciation Book Value at
Year in that year end of year
0 -$34,000
1 0.30 * $34,000 = $10,200 $23,800
2 0.30 * $23,800 = $7140 $16,660
3 0.30 * $16,660 = $4998, Switch to $6400 $10,260
4 $6400 $3860
5 $3860 $0
INFO630 Week 9 51 www.ischool.drexel.edu
Sum-of-the-Years-Digits Depreciation
• Depreciation amount determined by rule:
– List years in order, compute sum
– List years in reverse order
– Depreciation amount is (reverse order / sum)
Year in Depreciation
Year reverse order factor
1 5 5/15
2 4 4/15
3 3 3/15
4 2 2/15
5 1 1/15
Sum = 15
(k/K, K= Sum, k = rev. year)
• Note: Recognizes salvage value
INFO630 Week 9 52 www.ischool.drexel.edu
• Same asset
End of Depreciation Book Value at
Year in that year end of year
0 -$34,000
1 5/15 * ($34,000 - $2000) = $10,667 $23,333
2 4/15 * ($34,000 - $2000) = $8533 $14,800
3 3/15 * ($34,000 - $2000) = $6400 $8400
4 2/15 * ($34,000 - $2000) = $4267 $4133
5 1/15 * ($34,000 - $2000) = $2133 $2000
Note: Yr 0 = k/K * (acquisition cost – salvage value)
INFO630 Week 9 53 www.ischool.drexel.edu
• Used from 1981 to 1986
• Two variants
– Prescribed method
• All depreciable assets are assigned to 1 of 4 separate classes of property
– Alternative method
• Organization chooses 1 of 3 possible periods
INFO630 Week 9 54 www.ischool.drexel.edu
• Depreciable assets assigned to classes:
– 3-year property
– 5-year property
– 10-year property
– 15-year property
– (see text for property class descriptions)
• Note: uses half-year conversion
– Assume asset start service midyear (Jul 1) and ends service midyear (Jun 1)
INFO630 Week 9 55 www.ischool.drexel.edu
Recovery year 3-Year 5-Year 10-Year 15-Year
1 0.25 0.15 0.08 0.05
2 0.38 0.22 0.14 0.10
3 0.37 0.21 0.12 0.09
4 0.21 0.10 0.08
5 0.21 0.10 0.07
6 0.10 0.07
7 0.09 0.06
8 0.09 0.06
9 0.09 0.06
10 0.09 0.06
11 0.06
12
Each year’s depreciation amount = 0.06
13 0.06
15 0.06
INFO630 Week 9 56 www.ischool.drexel.edu
Example of ACRS Depreciation Prescribed
• Same asset
End of Depreciation Book Value at
Year in that year end of year
0 -$34,000
1 0.15 * $34,000 = $5100 $28,900
2 0.22 * $34,000 = $7480 $21,420
3 0.21 * $34,000 = $7140 $14,280
4 0.21 * $34,000 = $7140 $7140
5 0.21 * $34,000 = $7140 $0
INFO630 Week 9 57 www.ischool.drexel.edu
• Used since 1987
– Derived from ACRS
– Two new classes, 7- and 20-year property
– 3-, 5-, 7-, and 10-year classes use 200% declining-balance
– 15- and 20-year use 150% declining-balance
– No distinction between new and used property
• See text for MACRS Prescribed Method depreciation schedule
– Table 14.11 on page 227
– Also half year convention but this time entire depreciation shifted right (6 months in 1 st yr, 6 months in last year)
INFO630 Week 9 58 www.ischool.drexel.edu
• Same asset
End of Depreciation Book Value at
Year in that year end of year
0 -$34,000
1 0.2000 * $34,000 = $6800 $27,200
2 0.3200 * $34,000 = $10,880 $16,320
3 0.1920 * $34,000 = $6528 $9792
4 0.1152 * $34,000 = $3917 $5875
5 0.1152 * $34,000 = $3917 $1958
6 0.0576 * $34,000 = $1958 $0
INFO630 Week 9 59 www.ischool.drexel.edu
Units-of-Production Depreciation
• Not allowed under current US tax code
• Depreciation is based on use, not time
Depreciati onPerUse
Acquisitio nCost
SalvageVal ue
LifetimeCa pacityforU se
INFO630 Week 9 60 www.ischool.drexel.edu
• Actual depreciation refers to how assets lose value over time
• Depreciation accounting refers to how the organization estimates that loss
• Value-time functions model the rate of loss
• Book value is the estimated remaining value of an asset due to depreciation
• A number of depreciation methods have been used,
MACRS is used today
INFO630 Week 9 61 www.ischool.drexel.edu
Chapter 15
INFO630 Week 9
62 www.ischool.drexel.edu
General Accounting and Cost Accounting
Outline
• Balance sheet
• Profit and loss statement
• Cash-flow statement
• Cost accounting
• Cost of goods sold statement
• Determining unit cost
INFO630 Week 9 63 www.ischool.drexel.edu
• Shows the financial position of a company at a moment in time
– “Snap shot” or “freeze frame”
– “How much is the company worth right now?”
• Assets
– Things of value the company owns or is owed by others
• Liabilities
– Opposite of assets, what the company owes others
• Owner’s equity
– The company’s net worth
Assets = Liabilities + Owner’s Equity
INFO630 Week 9 64 www.ischool.drexel.edu
Assets 20x5 20x4
Cass & equivalents $198 $161
Accounts receivable 28 14
Inventory 53 36
Property 52 47
Plant & Equipment
Investments
Total Assets
46 66
26 16
403 340
Note: Assets = Liabilities
+ Owner’s equity
Liabilities
Accounts payable
Debt
Declared dividends
Total liabilities
73 50
36 41
0 0
109 91
Owner’s Equity
Stock
Retained earnings
Total equity
121 121
173 128
294 249
Total liabilities and equity 403 340
INFO630 Week 9 65 www.ischool.drexel.edu
• Summarizes income and expenses between balance sheets
– “How quickly is the company gaining or losing value?”
– Accumulation over a period of time
• Operating income
– Gross income minus cost of goods sold
• Operating expenses
– Costs to run the company
• Investment-related expenses
– Costs to finance the company
• Income taxes
– Federal, state, and local taxes
• Net earnings after taxes
INFO630 Week 9 66 www.ischool.drexel.edu
Operating Income 20x5 20x4
Sales & operating income $784 $721
Cost of goods sold
Net operating income (loss)
470 423
314 298
Operating Expenses
Selling expenses 36 34
General & administrative expenses 62 60
Research & development
Investment Related Expenses
99 115
Interest expense
Investment expense
7 14
1 3
Depreciation 36 35
Net earnings before income taxes (loss) 73 37
Income Taxes
Federal, state, and local 28 14
Net Earnings After Taxes (loss) 45 23
INFO630 Week 9 67 www.ischool.drexel.edu
• Details actual flow of cash
– Some P&L isn’t real cash, some real cash isn’t P&L
– “How much more or less cash does the company have now?”
• Cash from operating activities
• Cash from investing activities
• Cash from financing activities
• Net change in cash
INFO630 Week 9 68 www.ischool.drexel.edu
Cash from Operating Activities 20x5 20x4
Net earnings $45 $23
Depreciation 36 35
Changes in accounts receivable (14) 8
Changes in accounts payable 23 (4)
Changes in inventory
Net cash from operating activities 73 69
(17) 7
Cash from Investing Activities
Capital expenditures (24) (17)
Acquisitions (11) 0
Proceeds from dispositions 4 26
Net cash from investing activities (31) 9
Cash from Financing Activities
New borrowing
Debt repayment
Net stock
Dividends paid
8 4
(13) (14)
0 0
Net cash from financing activities (5) (10)
Net change in cash
Cash at beginning
Cash at end
0 0
37 68
161 93
198 161
INFO630 Week 9 69 www.ischool.drexel.edu
•Balance Sheet - company’s financial position at a give point in time
•P&L Statement –shows company financial position changed over time
•Cash-Flow Statement - shows how the company’s cash position changed over time
Balance
Sheet for time
T
Balance
Sheet for time
T+1
Balance
Sheet for time
T+2
T
Profit &
Loss
Statement for time
T to T+1
Cash Flow
Statement for time
T to T+1
T+1
Profit &
Loss
Statement for time
T+1 to T+2
Cash Flow
Statement for time
T+1 to T+2
T+2
INFO630 Week 9 70 www.ischool.drexel.edu
• Production cost has a major influence on profit
– Cost accounting helps manage that cost
– Find out how much it costs to provide product or service
– Show in Cost of Goods statement
INFO630 Week 9 71 www.ischool.drexel.edu
Direct
Material
Indirect
Material
Direct Labor
Work in Process
Indirect Labor
Finished
Goods
INFO630 Week 9 72 www.ischool.drexel.edu
• Details cost of producing goods and services
– “How much did it cost to provide the goods and services sold during a reporting period?”
– Forwards to Cash-flow Statement
• Direct Material
– Cost of material that can be directly allocated to units of production
• Direct Labor
– Cost of labor that can be directly allocated to units of production
• Manufacturing Overhead
– Cost of material and labor that can’t be directly allocated to units of production
• Cost of Goods Made
– Total cost of good produced during this period
• Cost of Goods Sold
– Total cost of goods sold during this period
INFO630 Week 9 73 www.ischool.drexel.edu
Direct Material
In process Jan. 1, 20x5 $5
Applied during year
Total
In process Dec 31, 20x5
59
64
7 57
Cost of Goods Made
Finished goods Jan. 1, 20x5
457
49
Total 506
Finished goods Dec. 31, 20x5 36
Direct Labor
In process Jan. 1, 20x5 6
Applied during year 129
Total
In process Dec 31, 20x5
135
8 127
Cost of Goods Sold 470
Manufacturing Overhead
In process Jan. 1, 20x5 23
Applied during year 282
Total 305
In process Dec 31, 20x5 32 273
INFO630 Week 9 74 www.ischool.drexel.edu
• “How much does it cost to produce each unit?”
– Trivial for direct costs
– Difficult for indirect costs
• Traditional unit-costing methods
– Direct-material-cost method
– Direct-labor-hour method
– Direct-labor-cost method
• Activity-based costing
INFO630 Week 9 75 www.ischool.drexel.edu
• Direct costs
Gizmo
Whatzit
Direct-material dollars per unit
$65.35
$82.21
Direct-labor hours per unit
6.6
7.0
Direct-labor cost per hour
$21.75
$25.50
Direct-labor dollars per unit
$143.55
$178.50
• Indirect costs
Manufacturing overhead $273
Selling expenses 36
General and administrative expenses 62
Research & development 99
Interest
Investments
Depreciation
Total overhead
17
1
36
524
INFO630 Week 9 76 www.ischool.drexel.edu
• Overhead is allocated in proportion to the cost of direct materials
DirectMate rialCostRa te
TotalOverh
TotalDirec ead tMaterialC ost
• For Acme Corp
DirectMate rialCostRa te
$524K
$57K
9 .
19
Gizmo
Direct material $65.35
Direct labor 143.55
Overhead, $65.35 * 9.19 600.57
809.47
INFO630 Week 9
Whatzit
Direct material $82.21
Direct labor 178.50
Overhead, $82.21 * 9.19 755.51
1016.22
77 www.ischool.drexel.edu
• Overhead is allocated in proportion to the number of direct labor hours
DirectLabo rHourRate
TotalOverh
TotalDirec ead tLaborHour s
• For Acme Corp
DirectLabo rHourRate
$524K
5581hrs
$ 93 .
89 / hr
Gizmo
Direct material $65.35
Direct labor 143.55
Overhead, 6.6 * $93.89 619.67
828.10
Whatzit
Direct material $82.21
Direct labor 178.50
Overhead, 7.0 * $93.89 657.23
917.94
INFO630 Week 9 78 www.ischool.drexel.edu
• Overhead is allocated in proportion to the cost of direct labor
DirectLabo rCostRate
TotalOverh
TotalDirec ead tLaborCost
• For Acme Corp
DirectLabo rCostRate
$524K
$127K
4 .
13
Gizmo
Direct material $65.35
Direct labor 143.55
Overhead, 143.55 * 4.13 592.86
801.76
Whatzit
Direct material $82.21
Direct labor 178.50
Overhead, 178.50 * 4.13 737.21
997.92
INFO630 Week 9 79 www.ischool.drexel.edu
• Traditional cost
– Gather all overhead cost in a single large pool then allocate across company’s products and services
• ABC
– Entire cost of each activity is averaged out across all occurrences of that activity and is then allocated to individual products based on how much that activity occurs for that product
INFO630 Week 9 80 www.ischool.drexel.edu
Overhead pool
Overhead
1
Direct material
1
Overhead
Direct material
2
2
Activity
1
Activity
2
...
Overhead n
Direct material n
Activity n
Product
Direct labor
1
Direct labor
2
Direct labor n
Overhead
1
Direct material
1
Overhead
Direct material
2
2
Activity
1
Activity
2
...
Overhead n
Direct material n
Activity n
Product
Direct labor
1
INFO630 Week 9
Direct labor
2
Direct labor n
81 www.ischool.drexel.edu
1. Identify the activities
2. Determine total cost for each activity
3. Define a measure and quantity for each activity
4. Calculate the average cost per output for each activity
5. Specify the activity quantities for each product
6. Calculate unit costs
INFO630 Week 9 82 www.ischool.drexel.edu
• Might seem reasonable to use unit cost to calculate total cost for any arbitrary production rate
• Not that simple
– Variable costs
• proportional to the rate of production (raw materials, direct labor, …)
– Fixed costs
• Independent of the rate of production (facilities rental, loan interest, property tax, …)
– Unit cost = slope of dotted line.
• Doubling production rate will probably not double total cost!, therefore not unit cost either
INFO630 Week 9 83 www.ischool.drexel.edu
•
Sl op e =
U nit
co st
Vari able
Cos t
Total cost
Fixed Cost
Production rate
INFO630 Week 9 84 www.ischool.drexel.edu
• Balance Sheet shows financial position of a company at a point in time
• Profit & Loss Statement explains how financial position changed over time
• Cash Flow Statement shows details actual flow of cash between company and outside
• Cost accounting finds cost to provide products and services that were sold
• Unit cost shows cost to produce one instance of each product or service
– Direct-material-cost method
– Direct-labor-hour method
– Direct-labor-cost method
– Activity-Based Costing (ABC)
• Be careful to not misinterpret unit costs
INFO630 Week 9 85 www.ischool.drexel.edu