PIPFA Management Accounting Syllabus

What is the production budget formula linking sales, opening and closing inventory?

Production (units) = Sales units + Closing finished goods inventory - Opening finished goods inventory. This ensures production meets sales demand plus the required closing stock, less stock already held.

What is the materials purchases budget formula?

Materials purchases = Materials required for production (usage) + Closing raw material inventory - Opening raw material inventory. Materials usage = Production units x material quantity per unit.

What is a flexible budget and how does it differ from a fixed budget?

A flexible budget is designed to change (flex) with the actual level of activity, recalculating variable costs for the actual output while keeping fixed costs unchanged. A fixed budget is set for a single planned activity level and is not adjusted. Flexible budgets allow meaningful comparison with actual results.

What is flexible budgeting used for in variance analysis and control?

It is used to compare actual results against a budget restated for the actual activity level (the flexed budget). This removes the volume difference so that the remaining variances reflect genuine differences in cost/efficiency rather than just differences in output level.

What is a cash budget and what is its primary purpose?

A cash budget is a forecast of cash receipts and payments over a future period, showing the opening balance, receipts, payments and closing balance for each period. Its purpose is to anticipate cash surpluses or shortfalls so that financing or investment can be planned in advance.

Which items are excluded from a cash budget, and why?

Non-cash items are excluded, such as depreciation, accruals, provisions, and bad debt write-offs, because the cash budget records only actual cash inflows and outflows. Timing of receipts/payments (e.g. credit terms) is what matters, not the accruals-based profit.

What is the basic format/structure of a cash budget?

Opening cash balance + Total cash receipts (e.g. cash sales, receipts from debtors, asset sales, loans) - Total cash payments (e.g. payments to creditors, wages, overheads, capital expenditure, tax, dividends) = Closing cash balance, which becomes the next period's opening balance.

What is the formula for the direct material total cost variance, and into which two variances does it split?

Material total variance = (Standard cost of actual production) - (Actual cost of materials used). It splits into the material price variance and the material usage variance.

What is the direct material price variance formula?

Material price variance = (Standard price - Actual price) x Actual quantity purchased (or used) = (SP x AQ) - (AP x AQ). It is favourable if the actual price paid is lower than standard.

What is the direct material usage variance formula?

Material usage variance = (Standard quantity for actual production - Actual quantity used) x Standard price = (SQ - AQ) x SP. It is favourable when less material is used than the standard allows.

What is the direct labour rate variance formula?

Labour rate variance = (Standard rate - Actual rate) x Actual hours paid = (SR x AH) - (AR x AH). It is favourable when the actual wage rate is lower than the standard rate.

What is the direct labour efficiency variance formula?

Labour efficiency variance = (Standard hours for actual production - Actual hours worked) x Standard rate = (SH - AH) x SR. It is favourable when fewer hours are worked than the standard allows for the output produced.

What is the idle time variance and is it always adverse?

Idle time variance = Idle hours x Standard rate per hour. It measures the cost of hours paid for but not worked (e.g. machine breakdown). It is always adverse (unfavourable) because paying for non-productive time is a loss.

What is the fixed overhead total (under/over absorbed) variance?

Fixed overhead total variance = Absorbed fixed overhead (Standard hours of actual output x OAR) - Actual fixed overhead incurred. A positive figure means overhead was over-absorbed (favourable); a negative figure means under-absorbed (adverse).

What are the fixed overhead expenditure and volume variances?

Fixed overhead expenditure variance = Budgeted fixed overhead - Actual fixed overhead (favourable if spending is less than budget). Fixed overhead volume variance = (Actual output - Budgeted output) x Fixed OAR per unit, measuring the effect of producing more or fewer units than budgeted.

How is the fixed overhead volume variance subdivided into capacity and efficiency variances?

Volume capacity variance = (Actual hours worked - Budgeted hours) x Fixed OAR per hour. Volume efficiency variance = (Standard hours for actual output - Actual hours worked) x Fixed OAR per hour. Together they make up the fixed overhead volume variance.

What are the two variable overhead variances and their formulas?

Variable overhead expenditure (rate) variance = (Actual hours x Standard variable OAR) - Actual variable overhead cost. Variable overhead efficiency variance = (Standard hours for actual output - Actual hours worked) x Standard variable OAR per hour.

What is cost-plus (full cost-plus) pricing and how is the price calculated?

Cost-plus pricing sets the selling price by adding a profit mark-up to the cost of the product. Price = Cost + (Mark-up % x Cost). Full cost-plus uses total cost (including absorbed fixed overheads); marginal cost-plus adds a mark-up to variable/marginal cost.

Distinguish between a mark-up and a margin in pricing.

A mark-up expresses profit as a percentage of cost (Profit / Cost). A margin expresses profit as a percentage of selling price (Profit / Selling price). For example, a 25% mark-up on cost equals a 20% margin on selling price.

What are the main advantages and disadvantages of full cost-plus pricing?

Advantages: simple to apply, ensures all costs and a profit are covered, useful when costs are stable. Disadvantages: ignores demand and price elasticity, relies on overhead absorption assumptions, may set prices uncompetitively, and circular (price affects volume which affects unit fixed cost).

What is target costing and how is the target cost derived?

Target costing starts from a market-driven target selling price and a required profit margin, then derives the maximum allowable cost. Target cost = Target selling price - Required profit margin. The aim is to design the product to be made within this target cost.

What is a cost gap in target costing and how can it be closed?

A cost gap is the excess of the estimated (current) cost over the target cost. Cost gap = Estimated cost - Target cost. It is closed through value engineering, redesigning the product, eliminating non-value-added activities, negotiating cheaper materials, and improving process efficiency.

How does target costing fundamentally differ from cost-plus pricing in approach?

Cost-plus pricing starts with cost and adds a margin to set the price (cost-led). Target costing starts with the market price the customer will pay and works backwards to a required cost (price-led / market-driven). Target costing makes cost the variable to be managed, not the price.

What is transfer pricing and why does it matter for divisional performance?

A transfer price is the price at which goods or services are transferred between divisions of the same organisation. It matters because it affects each division's reported profit, performance evaluation, and managers' decisions; it should promote goal congruence, divisional autonomy and fair performance measurement.

What is the general economic rule for setting a minimum transfer price?

Minimum transfer price = Marginal (variable) cost of the transferring division + Opportunity cost of making the internal transfer. When there is spare capacity, opportunity cost is zero, so the minimum is just marginal cost; when at full capacity, it includes the lost external contribution.

What are the common bases for setting transfer prices?

Common bases are: market-based price (external market price), cost-based prices (marginal cost, full cost, or cost-plus), and negotiated transfer prices agreed between divisional managers. Market price is often preferred when a competitive external market exists.

What is the payback period and what is its main decision rule?

The payback period is the time taken for a project's cumulative net cash inflows to recover the initial investment. Decision rule: accept projects with a payback period within the company's target maximum; when ranking, prefer the project with the shortest payback.

What are the main advantages and disadvantages of the payback method?

Advantages: simple, easy to understand, emphasises liquidity and early cash flows, reduces risk exposure. Disadvantages: ignores the time value of money (in its basic form), ignores cash flows after the payback period, and does not measure overall profitability.

What is the Accounting Rate of Return (ARR) and its formula?

ARR (also called return on capital employed) measures average accounting profit as a percentage of investment. ARR = (Average annual accounting profit / Average investment) x 100, where Average investment = (Initial investment + Scrap value) / 2. It uses profits, not cash flows, and ignores the time value of money.

What is the decision rule for ARR, and what is one key weakness?

Decision rule: accept a project if its ARR exceeds a predetermined target rate; rank by highest ARR. A key weakness is that ARR ignores the time value of money and is based on accounting profits (after depreciation) rather than cash flows.

What is Net Present Value (NPV) and what does a positive NPV indicate?

NPV is the sum of the present values of all a project's future cash flows, discounted at the cost of capital, less the initial investment. A positive NPV indicates the project earns more than the required return and increases shareholder wealth, so it should be accepted.

What is the present value formula and the role of the discount factor?

PV = Future cash flow x Discount factor, where Discount factor = 1 / (1 + r)^n (r = discount rate, n = number of years). The discount factor converts a future cash flow into its equivalent value today, reflecting the time value of money.

In NPV analysis, how is the discount rate chosen and what is the NPV decision rule?

The discount rate is normally the company's cost of capital (required rate of return). Decision rule: accept a project if NPV is positive (or zero); reject if NPV is negative. For mutually exclusive projects, choose the one with the highest positive NPV.

What is the Internal Rate of Return (IRR)?

The IRR is the discount rate at which a project's NPV equals zero, i.e. the rate at which the present value of inflows equals the present value of outflows. It represents the project's effective yield or breakeven cost of capital.

What is the IRR decision rule, and how does it relate to NPV?

Decision rule: accept a project if its IRR is greater than the cost of capital; reject if IRR is below it. This is consistent with NPV because an IRR above the cost of capital generally corresponds to a positive NPV.

What is the interpolation formula used to estimate the IRR?

IRR is approx = L + [NPV_L / (NPV_L - NPV_H)] x (H - L), where L = lower discount rate, H = higher discount rate, NPV_L = NPV at the lower rate (positive), and NPV_H = NPV at the higher rate (negative). It linearly interpolates between the two rates to find where NPV = 0.

Why may NPV and IRR give conflicting rankings for mutually exclusive projects, and which is preferred?

They can conflict due to differences in project scale or the timing/pattern of cash flows and the reinvestment assumption. NPV is generally preferred because it measures the absolute increase in shareholder wealth and assumes reinvestment at the cost of capital, whereas IRR assumes reinvestment at the IRR.

What is the objective of cash management in working capital management?

The objective is to hold enough cash to meet day-to-day obligations and avoid liquidity problems, while not holding so much idle cash that profitability suffers. It balances the transactions, precautionary and speculative motives for holding cash against the opportunity cost of idle funds.

What are the three motives for holding cash identified by Keynes?

(1) Transactions motive - to meet regular day-to-day payments; (2) Precautionary motive - to provide a buffer against unexpected needs or uncertain cash flows; (3) Speculative motive - to take advantage of profitable opportunities (e.g. bargain purchases or investments) as they arise.

What is the objective of receivables (debtors) management?

To set and operate a credit policy that maximises the benefit of offering credit (increased sales) while minimising the costs and risks of credit (financing cost of receivables, bad debts, and administration). It involves setting credit terms, assessing creditworthiness, and collecting debts efficiently.

How is the average collection period (debtor days) calculated and what does it indicate?

Average collection period = (Trade receivables / Credit sales) x 365 days. It indicates the average number of days customers take to pay. A rising figure may signal weaker credit control or collection problems; comparing it to the credit period granted shows policy effectiveness.

What is the typical cost-benefit basis for deciding whether to offer a cash (settlement) discount to receivables?

Compare the cost of the discount (discount % x affected sales) against the benefits: reduced financing cost from faster collection of receivables, lower bad debts, and possibly increased sales. Offer the discount only if the savings/benefits exceed the cost of giving the discount.