AAT L4 Budgeting and Forecasting 2 — Questions and Answers

Question 1: A business uses zero-based budgeting (ZBB). Which statement best describes ZBB?

Each department starts from last year's budget and adjusts for inflation
Every activity must be justified from scratch each budget period, regardless of past budgets (Correct answer)
Budgets are set by senior management and imposed on department heads
Only new activities need to be justified; existing activities are automatically approved

Correct answer: Every activity must be justified from scratch each budget period, regardless of past budgets

ZBB requires all activities to be justified each period as if starting from zero, eliminating the assumption that current activities will automatically continue to be funded.

Zero-based budgeting (ZBB) was developed by Peter Pyhrr at Texas Instruments and adopted by the US government in the 1970s. Unlike incremental budgeting (which adds a percentage to last year's figures), ZBB requires managers to justify every pound of expenditure from scratch. The ZBB process involves: identifying 'decision packages' (discrete activities or functions), ranking packages in order of priority, and allocating resources based on ranking until the budget is exhausted. Packages below the cut-off line receive no funding. Advantages of ZBB include: elimination of budget padding and inefficient spending carried forward from previous years, allocation of resources to highest-priority activities, encourages innovation and challenges the status quo, and improves manager understanding of their own costs. Disadvantages include: extremely time-consuming and costly to implement properly, may be difficult to quantify benefits of many activities (e.g., HR, training), can lead to short-termism (cutting activities with long-term benefits), and requires significant management expertise. ZBB is most suitable for discretionary cost centres (support departments) rather than production departments where output can be measured directly.

Question 2: A company's sales budget shows 10,000 units. Opening finished goods inventory is 500 units and target closing inventory is 800 units. What should the production budget be?

9,700 units
10,300 units (Correct answer)
10,800 units
9,200 units

Correct answer: 10,300 units

Production = Sales + Closing inventory − Opening inventory = 10,000 + 800 − 500 = 10,300 units.

The production budget is derived from the sales budget after adjusting for planned inventory changes. The basic formula is: Production required = Budgeted sales + Desired closing inventory − Opening inventory. Production = 10,000 + 800 − 500 = 10,300 units. The logic is: the company starts with 500 units in stock, needs to sell 10,000, and wants 800 left over. It must therefore produce 10,300 units. This is part of the functional budget hierarchy. The sales budget is prepared first (the limiting factor for most businesses), then the production budget, then material usage, material purchases, and labour budgets are derived in sequence. The purchases budget for materials works similarly: Purchases = Production usage + Closing material inventory − Opening material inventory. Getting these relationships right is essential for a coherent master budget that correctly captures cash flows and working capital requirements.

Question 3: In time series analysis, what does the 'trend' component represent?

Short-term random fluctuations that cannot be predicted
The underlying long-term movement in a data series (Correct answer)
Regular seasonal variations within a year
The cyclical movement linked to the economic cycle

Correct answer: The underlying long-term movement in a data series

The trend is the underlying long-term direction of movement in the data, extracted after removing seasonal, cyclical, and random variations.

Time series analysis decomposes historical data into four components to aid forecasting. Trend (T): the long-term underlying movement after removing other components. It reflects fundamental factors affecting the variable over years (e.g., population growth, economic development). Seasonal Variation (SV): regular, predictable fluctuations within a year (e.g., higher retail sales in December). Cyclical Variation (CV): longer-term waves linked to the economic cycle (boom and recession), typically 4–10 years. Residual/Random Variation (R): unpredictable irregular fluctuations due to unique events. In the additive model: Actual = T + SV + CV + R. In the multiplicative model: Actual = T × SV × CV × R. The additive model is more appropriate when seasonal variations are roughly constant in absolute terms; the multiplicative model when they grow proportionally with the trend. For forecasting, moving averages are commonly used to isolate the trend. Then seasonal variations are calculated and applied to future trend values to produce a forecast. The accuracy of time series forecasting deteriorates the further into the future one projects.

Question 4: A flexed budget for 8,000 units shows variable costs of £48,000 and fixed costs of £30,000. Actual output was 8,000 units but actual variable costs were £50,000. What is the variable cost variance?

£2,000 Favourable
£2,000 Adverse (Correct answer)
£18,000 Adverse
No variance, as output matched the budget

Correct answer: £2,000 Adverse

The flexed budget variable cost for 8,000 units is £48,000. Actual variable cost was £50,000. Variance = £50,000 − £48,000 = £2,000 Adverse (actual exceeded budget).

Flexible budgeting adjusts the original (fixed) budget to reflect actual output levels, enabling fair comparison between budget and actual. Without flexing, any volume difference would contaminate all cost variances. At 8,000 units (which equals the flexed budget level), the flexed variable cost is £48,000. Actual variable cost was £50,000. Variance = Actual − Flexed budget = £50,000 − £48,000 = £2,000 Adverse. An adverse variance means actual cost exceeded the standard/budgeted cost for that level of output. This could be due to higher than standard prices paid, or greater usage than the standard per unit allows. Fixed costs in a flexible budget remain constant regardless of output within the relevant range — the £30,000 fixed cost would be the same in both the original and flexed budgets (assuming output of 8,000 is within the range used to set the budget). Only variable costs are adjusted proportionately when flexing.

Question 5: Which budgeting approach involves senior management setting overall targets and then passing them down through the organisation for department heads to plan how to achieve them?

Bottom-up (participative) budgeting
Top-down (imposed) budgeting (Correct answer)
Zero-based budgeting
Activity-based budgeting

Correct answer: Top-down (imposed) budgeting

Top-down (imposed) budgeting involves senior management setting the targets and communicating them downwards. Department managers then plan within those constraints rather than setting their own targets.

There are two extreme approaches to budget setting. Top-down (imposed) budgeting: senior management sets budget targets based on strategic goals. These are communicated to department managers who must achieve them. It is faster, aligns with corporate strategy, prevents budget padding, and avoids the negotiation process consuming excessive time. However, it may result in unrealistic targets, demotivated managers who feel targets are unfair, and poor use of managers' detailed operational knowledge. Bottom-up (participative) budgeting: operational managers prepare their own budgets based on their detailed knowledge of their areas. These are then reviewed and consolidated upwards. It increases motivation and ownership, produces more realistic budgets, and draws on grassroots knowledge. However, it can lead to budget slack (deliberately setting easy targets), is time-consuming, and may result in a budget that doesn't align with strategic objectives. In practice, most organisations use a hybrid approach: senior management sets strategic parameters (sales growth, cost targets), and department managers prepare detailed budgets within those parameters. The iterative process of negotiation between levels is called the 'budget negotiation' or 'budget iteration' process.

Question 6: Regression analysis is used in budgeting to forecast costs. In the equation y = a + bx, what does 'b' represent?

Fixed cost per period
Variable cost per unit of activity (Correct answer)
Total cost at zero activity
Coefficient of determination

Correct answer: Variable cost per unit of activity

In the regression equation y = a + bx, 'b' is the gradient (slope) of the regression line, representing the variable cost per unit of the independent variable (activity level).

Regression analysis fits a straight-line equation to historical cost data to separate fixed and variable components and forecast future costs. The equation y = a + bx is the equation of a straight line. y = total cost (dependent variable), x = activity level (independent variable, e.g., machine hours, units produced), a = y-intercept (the value of y when x = 0, representing fixed costs), b = gradient (how much total cost increases for each additional unit of activity, representing variable cost per unit). For example, if y = £20,000 + £3.50x, the fixed cost is £20,000 per period and the variable cost is £3.50 per machine hour. To forecast costs at 15,000 machine hours: y = £20,000 + (£3.50 × 15,000) = £72,500. The coefficient of determination (R²) measures the proportion of variation in y that is explained by x. An R² of 0.95 means 95% of cost variation is explained by the activity level, indicating a strong, reliable relationship. The closer R² is to 1, the better the predictive power of the regression line.

AAT L4 Budgeting and Forecasting 2

A business uses zero-based budgeting (ZBB).
Which statement best describes ZBB?