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1
Standard Costing
& Variance Analysis
Drury: Chapter 17 and 18
Standard costing and variance analysis
2
Objectives • Revision of standard costing:
– Conventional production and sales variances • Rate variances
• Usage variances
• Sales volume variance
• Sales price variance
– Raw materials mix and yield variances
– Sales quantity and mix variances
• Extension of standard costing (new*) – Market share and size variances
– Ex post variances (Planning and operating variances)
• Integration with other topics
3
Standard costing When do we use a standard costing system? • Common or repetitive operations (Often used in a manufacturing firm)
What is standard costing? • A financial control system that enables:
– deviations from budget to be analysed in detail, – costs to be controlled more effectively. – good planning, as we have detailed knowledge on how costs are driven.
• Of paramount importance is the flexible budget: – the master budget adjusted to the actual level of volume NB Flex your budget – Standard costing compares the flexed budgeted costs to the actual costs.
What are standard costs? • Pre-determined target costs that can be incurred under efficient operating conditions. • Standard costs are given on a per unit basis, i.e. the cost expectation per unit • Budgeted costs relate to the anticipated costs for an entire activity or operation
Standard Cost Card (always per unit)
Cost item Details Amount
Direct materials 1 meter @R10 R 10
Direct labour 0.1 hrs @ R20 R 2
Fixed overhead 0.1 hrs @R10 R 1
R 13
Include normal losses/ normal wastage:
Take 9 hours @ 75% efficiency = effectively taking
12 hours (3 hours= normal loss which needs to be included in std)
4
Remember: • Always value inventory at the standard (AQ*SR)
• Raw materials T account: Opening balance at standard rate (AQ*SR)
Add: Actual purchases
Add: favourable variances (income)
Less: unfavourable variances (expense)
Less: closing balance at standard rate (AQ*SR)
= Balance transferred to WIP representing amount used
Rate variances Usage variances
Given [AQ of DM purchased/AQ of labour hours used]; how much should I have spent and how much did I spend?
Given actual units produced, how many kg’s
or hours should I have used and how many did I use?
5
What variances usually arise under a standard costing system?
• Material variances (price, usage, mix & yield)
• Labour variances (expenditure, usage & mix)
• Variable overhead variances (expenditure & usage)
• Fixed overhead variances (expenditure, volume, capacity
& efficiency)
• Sales variances – Price and volume (mix and quantity)
– Market size and share variances (new!)
Production
What levels of activity are important when calculating variances?
• Budgeted Quantity: Only use to calculate budgeted profit /income statement
• Actual Production Quantity: Use to calculate your production variances
• Actual Sales Quantity: Use to calculate your sales variances
On a traditional costing basis, or on an ABC basis
Not recognised in
acc records!
6
7
Raw materials variances
Total Raw Materials Variance
= Standard Cost – Actual Cost
= (SQ x SP) – (AQ x AP)
= RM Price Variance + RM Usage Variance
(SQ – AQ) x SP (SP – AP) x AQ
Raw Materials actually used
Raw Materials Purchased
Mix Variance Yield Variance
8
Raw materials Mix and Yield Variances
• 3 Things before you can have a mix and yield variance: – More than one raw material input – There is an optimal mix of raw materials that minimises cost while still meeting the
quality standards – A change in mix affects the yield (normal loss).
Only arises when you use different amounts of the inputs compared to budget • Mix variance = inputs A mix variance arises when the actual mix differs from the predetermined standard mix.
(AQ in budgeted proportions - AQ) SP for each unit of input
• Yield variance = outputs A yield variance arises when the actual output differs from what should have come out the
process, based on what we put in.
(Actual production - What should have come out the process) SP for each unit of output (actual yield - Actual quantity*standard yield )*SP (where SP is the budgeted average
cost per unit of output) Example: expect a 15% loss, if produce 1 000 000l, expect output of 850 000l
9
• Standard ingredient of 1kg of product FDN is: – 0.65kg of F @ R4.00
– 0.3kg of D @ R6.00
– 0.2kg of N @ R2.50
1.15kg
• Budgeted production of product X is 4000 kg
• Actual production is 4200kg
• Actual material costs: – 2840kg of F
– 1210kg of D and Total used: 4910kg
– 860kg of N
– Total cost R20380.00
Standard proportions:
F = 56.5% D = 26.1% N = 17.4%
10
Raw materials Mix and Yield Variances: Example
Mix variance
A mix variance arises when the actual mix differs from the predetermined standard mix.
(AQ in budgeted proportions - AQ ) SP for each unit of input
Yield variance
A yield variance arises when the actual output differs from what should have come out the process, based on what we put in.
(Actual production - What should have come out the process) SP
( – ) x =
(AQ in budg prop - AQ)SP
F ( - 2840 ) £ 4.00
D ( - 1210 ) £ 6.00
N ( - 860 ) £ 2.50
4910 £ 150.87 F
2775.22
1280.87
853.91
4910
£ 259.13
£ 425.22
£ 15.22
F
A
A
£4.9 4200 4910kg x 1/1.15 = 4270kg
R340.87 A
£4*0.65kg+ £6*0.3kg+ £2.5*0.2kg
11
Raw materials Mix and Yield Variances Material Usage Variance:
Usage Variance (Mix and Yield)
(The amount of raw materials I should have used at my actual level of production – AQ)SP
My actual level of production is 4 200 units of FDN
My input at this level of production should have been 4 200 * 1.15 kg = 4 830 kg
(in other words, 4830kg should have been used to produce 4200kg based on budget)
F ( - 2840 ) £ 4.00
D ( - 1210 ) £ 6.00
N ( - 860 ) £ 2.50
190 A
4830 x( 0.65/1.15) =2730
4830 x (0.3/1.15)=1260
4830 x (0.2/1.15)=840
£ 440
£ 300
£ 50
F
A
A
(SQ – AQ) x SP
12
Sales Variances
• Total Sales Variance =
– Budgeted Contribution – Actual Contribution
– (BV x SM) – (AV x AM)
Sales Margin Volume Variance + Sales Margin Price Variance
(SM – AM) x AV or
(SSP – ASP) x AV
(BV – AV) x SM
13
Variable vs Absorption Costing
– Variable Costing - The standard/actual margin is a contribution margin:
• Standard margin:
(Standard SP – Standard VC)
• Actual margin
(Actual SP – Standard VC)
– Absorption Costing –The standard/actual margin is the profit margin:
• Standard margin
Standard SP– (std VC + std FC)
• Actual margin
Actual SP – (std VC + std FC)
Sales price variance:
(SM – AM) x AV
14
Sales mix and quantity variances Where a company sells several different products that have different profit
margins, it is possible to divide the sales volume variance into a quantity and mix
variance.
Example:
Budgeted sales R
A = 8 000 units at R20 contribution = 160 000
B = 7 000 units at R12 contribution = 84 000
C = 5 000 units at R9 contribution = 45 000
20 000 289 000
Actual sales R
A = 6 000 units at R20 contribution = 120 000
B = 7 000 units at R12 contribution = 84 000
C = 9 000 units at R9 contribution = 81 000
22 000 285 000
Therefore, AQ*std %= A: 40% = 8 800 B: 35% = 7 700 C: 25% = 5 500
15
Sales Margin Price Variance
(SM – AM) x AV
Sales Margin Volume Variance
(BV – AV) x SM
Mix Variance
(Actual Volume in budgeted proportions
- Actual Volume ) Std Margin
Quantity Variance
(Budgeted Volume - Actual Volume in
budgeted proportions ) x Std Margin
Total Sales Variance
BV AV X SM
Actual volume in budgeted
proportions
A 6 000
B 7 000
C 9 000
22 000
A 8 000
B 7 000
C 5 000
20 000
5500
40%
35%
25%
7700
8800
22000
A R20
B R12
C R9
16
Sales Variances
Sales Volume Variance: (BV – AV )SM
A (8000 – 6000) 20 = 40 000A
B (7000 – 7000) 12 = 0
C (5000 – 9000) 9 = 36 000F
4 000A
Sales Mix Variance: = (AQ in budgeted proportions - AQ) × Standard margin
A (8 800 – 6 000 ) × R20 = R56 000 A
B (7 700 – 7 000 ) × R12 = R 8 400 A
C (5 500 – 9 000 ) × R9 = R31 500 F
22 000 22 000 R32 900 A
Quantity variance: = (BQ - AQ in budgeted proportions ) × SM
A (8 000 – 8 800) × R20 = R16 000 F
B (7 000 – 7 700) × R12 = R 8 400 F
C (5 000 – 5 500) × R9 = R 4 500 F
R28 900 F
17
Sales Margin Price Variance
(SM – AM) x AV
Sales Margin Volume Variance
(BV – AV) x SM
Mix Variance (Actual Volume in budgeted proportions
- Actual Volume ) Std Margin
Quantity Variance (Budgeted Volume - Actual Volume in
budgeted proportions ) x Std Margin
Total Sales Variance
Market
size
variance
Market
share
variance
Where published industry sales statistics are readily available, it is possible to divide the sales quantity variance into a component due to changes in
market size and component due to changes in market share.
18
Market size and share variances
Budgeted
market
share
percentage
Market
size
variance
Actual
industry
sales
volume in
units
Budgeted
industry
sales
volume in
units
Budgeted
average
contribution
per unit X X = -
Budgeted
market
share
percentage
Market
share
variance
Actual
industry
sales
volume in
units
Budgeted
average
contribution
per unit X X = -
Actual
market
share
percentage
How much of industry am I
supposed to get?
What sales volume should I get due to change in market
share?
19
Previous example continued
Assuming that the budgeted industry sales volume for a company was
200 000 units and the actual industry sales volume was 275 000 units
• Calculate the market size and market share variances
Budgeted
market
share
percentage
Actual
industry
sales
volume in
units
Budgeted
average
contribution
per unit X X = -
Actual
market
share
percentage
Market
share
variance
Budgeted
market
share
percentage
Market
size
variance
Actual
industry
sales
volume in
units
Budgeted
industry
sales
volume in
units
Budgeted
average
contribution
per unit X X = -
R14.45
Budgeted sales Actual sales A = 8 000 units at R20 contribution A = 6 000 units at R20 contribution
B = 7 000 units at R12 contribution B = 7 000 units at R12 contribution
C = 5 000 units at R9 contribution C = 9 000 units at R9 contribution
Total 20 000 Total 22 000
R14.45
200 000
20 000/200 000
275 000
20 000/200 000
= 10%
22 000 / 275 000
= 8%
275 000
A: 40% B: 35% C: 25%
20
Solution
Market
size
variance
= R108 375 F
Market
share
variance = R79 475 A
The market size variance indicates that an additional contribution of
R108 375 was expected, given that the market expanded from
200 000 to 275 000 units.
However, the company did not attain the predicted market share of
10%. Instead, a market share of only 8% was attained, and the 2%
decline in market share resulted in a failure to obtain a contribution of
R79 475.
Sales quantity variance
= 28 900 F
21
Ex post variance analysis
A major criticism is that actual performance is compared with a standard based on
the environment that was anticipated when the standard was set.
Standard Revised standard Actual
1. Planning variance: • Variances that have arisen due to unforeseen, or uncontrollable events, and therefore
management should not be evaluated on these variances as they are outside their control.
• Planning variances can indicate how successful management is at forecasting.
Raw Materials planning variance:
(Budgeted production x SQ x SP - Budgeted production x revised SQ x revised SP)
2. Operating variance: • The variance calculations are exactly the same as before, except one uses revised
standards as opposed to the original standards in the calculations:
a) Raw Materials usage variance b) Raw Materials price variance:
(Revised SQ – AQ) Revised SP (Revised SP – AP) AQ
Planning Operational
22
Ex post variance analysis example
The original budget for August 2011 is as follows:
Sales (R20 x 50 units ) R1 000
Raw materials cost (2kg @ R5 per kg) x 50 units R 500
The budgeted profit R 500
A shortage of raw materials in the market caused the market price for 1kg to
increase to R5.18 per kg for August 2011 only. These raw materials were of a
slightly lower quality, therefore 2.2kg were expected to be used. The actual
production and sales for August 2011 was 55 units, and the profit statement is
found below:
Actual Profit Statement for August 2011:
Sales (R20 x 55 units ) R1 100.00
Raw materials cost (2.1kg @ R5.2 per kg) x 55 units R 600.60
Actual profit R 499.40
You are required:
1. Reconcile the budgeted and actual profit using conventional variance analysis.
2. Reconcile the budgeted and actual profit using ex post variance analysis.
23
Raw Materials usage variance
(SQ – AQ) SP
=(2kg-2.1kg)*55 units*R5
=R 27.50 Adverse
Raw Materials price variance:
(SP – AP) AQ
=(R5.00-R5.20)*(55 units*2.1kg)
=R 23.10 Adverse
Sales Volume variance before:
(BV - AV) SM
=(R20-R10)*(55 - 50 units)
=R50 Favourable
Reconciliation
Budgeted profit = 50 units (R20 - R10) R 500.00
Raw materials price variance
Raw Materials usage variance
Sales Volume variance
Actual Profit R 499.40
1) Conventional Variance Analysis
Raw Materials usage variance (SQ – AQ) SP
Raw Materials price variance: (SP – AP) AQ
Sales Volume variance before: (BV - AV) SM
Reconciliation Budgeted profit = 50 units (R20 - R10) R 500.00
Raw materials price variance -R 23.10
Raw Materials usage variance -R 27.50
Sales Volume variance R 50.00
Actual Profit R 499.40
24
2) Ex post Variance Analysis
-R69.8
Raw Materials usage variance
(revised SQ – AQ) Revised SP
Raw Materials price variance:
(Revised SP – AP) AQ
Sales Volume variance
(BV - AV) x revised SM
Reconciliation
Budgeted profit R 500.00
Planning variance
Operating variances
Raw materials price variance
Raw Materials usage variance
Sales Volume variance
Actual Profit R 499.40
(R20 - 2.2kg x R5.18) = R8.604
b) Operating variances
a) Planning variance
Raw Materials planning variance:
(Budgeted production x SQ x SP - Budgeted production x revised SQ x revised SP)
=50*2*5 – 50*2.2*5.18
[(55*2.2) – (55*2.1)]5.18
R28.49
Adverse
(5.18 – 5.20) 115.5
R-2.31
(50units - 55units ) R8.604 per unit
R 43.02
Revised std margin
(revised Std selling price - revised variable costs)
Favourable
Reconciliation
Budgeted profit R 500.00
Planning variance -R 69.80
Operating variances
Raw materials price variance -R 2.31
Raw Materials usage variance R 28.49
Sales Volume variance R 43.02
Actual Profit R 499.40
Favourable
25
Conventional Variance Reconciliation
Budgeted profit R 500.00
Sales Volume variance R 50.00
Standard profit at actual level of sales R 550.00
Variances
Raw materials price variance -R 23.10
Raw Materials usage variance -R 27.50
Actual Profit R 499.40
Ex post Variance Reconciliation
Budgeted profit R 500.00
Planning variance -R 69.80
Revised budgeted profit R 430.20
Sales Volume variance R 43.02
Standard profit at actual level of sales R 473.22
Operating variances
Raw materials price variance -R 2.31
Raw Materials usage variance R 28.49
Actual Profit R 499.40
26
Investigation of variances
27
Investigation of variances
1. Reasons for variances • Measurement errors e.g. Number of labour hours is incorrectly added or assigned.
• Out-of-date standards. Frequent technological changes
Standard fails to take into account learning curve effects
• Inefficient operations: Failure to follow prescribed procedures, faulty machinery or human errors
pin point cause of inefficiency and implement corrective action.
• Random or uncontrollable factors.
2. Investigation will indicate that variance is due to: • Random uncontrollable factors when the operation is under control.
• Assignable causes, but the cost of investigation exceeds benefits.
• Assignable causes, but the benefits of investigation exceed the cost.
A good
investigation
model would
only
investigate
these
variances Incorrect standard?
Corrective action needed?
28
• Under traditional costing, there is one lot of fixed (assumed to be indirect) costs that are allocated over a budgeted allocation base to units (usually budgeted production or labour hours).
• Under ABC, the indirect costs are split into activities, and for each activity, variances can be performed:
– Expenditure variance
– Usage/efficiency variance
– Note: under ABC, costs and variances may also be performed per batch, not just per unit. However, calculations remain the same
Integration with ABC (VOH and FOH)
29
Fixed Overhead Variances
Allocated FMC
Budgeted FMC
Actual FMC
SR = Budgeted FMC Budgeted allocation base
AP x SR BP x SR Expenditure Volume
Volume Efficiency
Variance
(SH- AH) x SR
Volume Capacity
Variance
(AH – BH) x SR
AH SH BH
SR = Budgeted FMC BP
(AP-BP) x SR
SR = Budgeted FMC Budgeted labour hours
F when absorb more than actual
F when actual exceeds budgeted,
otherwise indication failed to
use capacity
30
ABC Variance Analysis Example
Information relating to the production set-up function:
Budget Actual
Activity level (1 600 set-ups) Activity level (1 400 set-ups)
Practical capacity supplied (2 000 set-ups) Total VC (R39 000)
Total indirect fixed costs (R80 000) Total FC (R70 000)
Total indirect variable costs (R40 000)
Cost driver rates:
Variable
Fixed
Assume that production takes place in batches of 100 units, and that the machine
needs to be set up before every batch. Actual production in units for the period is
150 000 units. Fixed costs are allocated based on practical capacity
R40 000/1600 = R25 per set up
R80 000/2000 = R40 per set up
31
Variable Overhead Variances
• Total Variable Overhead Variance
– Standard Cost – Actual Costs
– (SH x SR) – (AH x AR)
– Ovhd Expenditure Variance + Ovhd Efficiency Variance
(SR – AR) x AH (SH – AH) x SR
32
Variable Set-up Variances
• Total Variable Set-up Variance
– Standard set-up costs – Actual set-up costs – (Std number of set-ups x SR per set up) – (Actual number of set-ups x AR per set up)
– Set-up Expenditure Variance + Set-up Efficiency Variance
(SR per set up – AR per set up ) x A SU’s (Std SU’s – Act SU’s) x SR per set up
(R25 – R39 000/1 400) x 1 400
=R4 000 A
(150 000/100 – 1 400) x R25
= 2 500 F
33
Fixed Set-up Variances
Allocated set-up costs
Budgeted set-up costs
Actual set-up costs
SR = Budgeted fixed set-up costs Practical no. of set ups
E.g. Now use practical capacity, as trying to
isolate cost of not planning to use capacity.
Expenditure Volume
(Budgeted set-up costs – Actual set up costs)
(R80 000 – R70 000) =R10 000F
SR = R80 000 = R40 per set up 2 000 set ups
(1 400 – 1 600) x R40
= R8 000A
(1 600 – 2 000) x R40
=R16 000 A
(1 500 – 1 400) x R40
= 4 000 F
Volume Efficiency
Variance
(Ssu’s- Asu’s) x
SR per su
Volume Capacity
Variance
(Asu’s – Bsu’s) x
SR per su
Budgeted Unused
Capacity Variance
(Bsu’s – PBsu’s) x
SR per su
ASU BSU SSU PSU
1500 1400 1600 2000
34
ABC and variance analysis:
Variance analysis for variable set-up expenses:
R
Variable set-up expenses charged to products (1 500 ×R25) 37 500
Variable set-up efficiency variance 2 500 F
Variable set-up expenditure variance 4 000 A
Total actual expenses 39 000
Variance analysis for variable set-up expenses: R
Set-up expenses charged to products (1 500 × R40) 60 000
Budgeted unused capacity variance (400 × R40) 16 000 A
Capacity utilization variance (200 × R40) 8 000 A
Volume Efficiency variance (100 × R40) 4 000 F
Expenditure variance 10 000 F
Total actual expenses 70 000
35
MANAGEMENT ACCOUNTING IV
- Job Costing/Process Costing - CVP - Standard Costing - Strategy
- Joint & By-product Costing - Decisions under uncertainty - Divisional performance - Sustainability reporting
- Variable Costing (decision trees) - Performance evaluation - ABM/ TQM
- Absorption Costing - Relevant Costing - Just-in-time
- Pricing Decisions - Balanced Scorecard
- ABC
Traditional ABC - Capital investment decisions
Production Cost
Cost Classification Period Cost Inventory Valuation
Fixed Cost
Variable Cost Relevant Costing/Planning and Controlling Costs/ Inventory Valuation/CVP
Direct Costs Trace to products
Indirect Costs Allocate to products Traditional Approach
ABC
Fixed Component
How costs behave Variable Component Decision Making / Relevant Costing/Planning and Controlling Costs/ Inventory Valuation/CVP/Cost Estimation
Inventory Valuation
Decision Making Planning, Control &
Performance Measurements
Strategic
Management
36
INTEGRATION with Cost Estimation Principles
• NB Linear Regression:
– May need to split mixed costs into their fixed and variable components before you can do your variance calculations.
• NB Learning Curve:
– Seldom linked, because the standard has been set over time. However if temporary staff need to be employed, you may need to incorporate learning curve into the variances. This would be very clear (a learning curve percentage would be given).
INTEGRATION with Inventory Valuation Principles
• NB Production v period costs
Only production costs can be included in the value of the inventory. These will be included in the inventory at standard.
• NB Absorption and variable costing - Affects your:
– Fixed overhead variances (no volume, capacity and efficiency variances)
– Sales variances (use the standard contribution margin and not the gross profit margin).
37
INTEGRATION with Cost Classification Principles
• NB Cost Behaviour
– Need to identify whether costs are fixed or variable. This will determine how the variances will be calculated.
• With variable costs you flex the standard (standard quantity)
• With fixed costs you compared budgeted to actual to absorbed (as these costs do not vary with production)
INTEGRATION with Decision-Making tools • Not really linked to the decision making tools.
INTEGRATION with Performance Evaluation (often linked)
• NB Responsibility centres
– The person who was responsibility for the decision that resulted in the variance should be evaluated on the variance.
– E.g. Purchasing department purchase inferior quality raw materials, therefore more was used by the production department. This usage variance should be attributed to the purchasing department. NB: You should only be evaluated on what you have control over.
• NB Planning and operating variances
– Will have an important link here
38
What are the reasons for using a standard costing system?
• To help set budgets. • To predict future costs needed for decision making purposes. • To evaluate managers performance:
• Variances must be allocated to the correct responsibility centres in order to ensure control and accountability
• To control costs: • Reasons for variances must be identified and investigated • Remedial action should be undertaken
• To value inventory. Standard costing can be used for financial accounting purposes as long as standard costs approximate actual costs. IAS 2