Overhead Variances: Fixed

Level: Advanced Module: Budgeting & Variance Analysis 4 min read Lesson 7 of 67

Overview

  • What you’ll learn: Fixed overhead budgeted vs. actual spending variance, the production-volume variance, why fixed overhead has no efficiency variance, and how denominator level choice affects product costing.
  • Prerequisites: Lesson 6 — Variable Overhead Variances
  • Estimated reading time: 16 minutes

Introduction

The Grand Historian records: Variable overhead moves with the army; fixed overhead is the fortress itself — it stands whether the garrison is at full strength or half-empty. The rent does not care whether you produced 10,000 units or 1. The factory supervisor’s salary does not fluctuate with the production schedule. Fixed overhead is the cost of having capacity available, and its variances tell a different story from variable costs.

Horngren (Chapter 8) reveals that fixed overhead produces only two variances — a spending variance and a production-volume variance. There is no efficiency variance for fixed overhead because, by definition, fixed costs do not change with the volume of the allocation base.

Fixed Overhead Spending Variance

FOH Spending Variance = Actual Fixed OH − Budgeted Fixed OH

This is the simplest variance in all of cost accounting. Did we spend more or less on fixed overhead than we budgeted? If budgeted fixed overhead is $300,000 and actual is $310,000, the spending variance is $10,000 unfavorable.

Causes include: unexpected salary increases, unplanned equipment lease, property tax reassessments, or insurance premium changes. These are largely non-controllable in the short term — the fortress costs what it costs.

Fixed Overhead Allocation Rate

To assign fixed overhead to products, we need an allocation rate:

Standard FOH Rate = Budgeted Fixed OH / Denominator Level (budgeted allocation base)

The denominator level is the budgeted volume of the allocation base (e.g., budgeted DLH or budgeted machine hours). This choice is critical and controversial.

The Production-Volume Variance

Production-Volume Variance = Budgeted Fixed OH − (Standard FOH Rate × Standard Qty Allowed for Actual Output)

Or equivalently: PVV = Standard FOH Rate × (Denominator Level − Standard Qty Allowed)

This variance measures the difference between budgeted fixed overhead and the amount allocated to actual production. It exists because fixed overhead is allocated at a per-unit rate, but fixed costs do not actually change with volume.

Interpretation

  • Unfavorable PVV: Actual production is below the denominator level — capacity is underutilized. The fortress is half-empty; its full cost is borne by fewer units.
  • Favorable PVV: Actual production exceeds the denominator level — capacity is more than fully utilized. The fortress shelters more troops than planned.

太史公曰:The production-volume variance is not about spending control — it is about capacity utilization. An unfavorable PVV does not mean the manager overspent; it means the empire did not fill the fortress it built.

Denominator Level Choices

Denominator Level Definition Effect on Unit Cost
Theoretical capacity Maximum possible output (24/7, no downtime) Lowest cost per unit
Practical capacity Theoretical minus unavoidable downtime Low cost per unit
Normal capacity Average utilization over multiple years Moderate cost per unit
Master-budget capacity Expected output for the budget period Highest cost per unit

The choice of denominator affects product cost, inventory valuation, and the size of the production-volume variance. Using practical capacity reveals the cost of unused capacity as a period expense — a powerful signal for strategic decision-making.

The Four-Variance Summary

Combining variable and fixed overhead variances:

Variance Variable OH Fixed OH
Spending Yes Yes
Efficiency Yes No (fixed costs don’t change with volume)
Production-Volume No Yes

Key Takeaways

  • Fixed overhead has two variances: spending (cost control) and production-volume (capacity utilization).
  • There is no fixed overhead efficiency variance — fixed costs are independent of volume.
  • The production-volume variance measures capacity utilization, not spending efficiency.
  • Denominator level choice (theoretical, practical, normal, master-budget) significantly affects unit costs and variance size.
  • Practical capacity as denominator reveals the cost of unused capacity.

What’s Next

In Lesson 8, we explore how inventory costing methods (absorption vs. variable) interact with capacity concepts, completing our study of budgeting and variance analysis.

繁體中文

概述

  • 學習目標:固定製造費用支出差異、產量差異、為何固定製造費用無效率差異,以及分母水準之選擇如何影響產品成本。
  • 先決條件:第 6 課——變動製造費用差異
  • 預計閱讀時間:16 分鐘

簡介

太史公曰:變動製造費用隨軍而動;固定製造費用乃城堡本身——無論駐軍滿員或半空,城堡巍然不動。租金不問你產了一萬件還是一件。固定製造費用乃擁有產能之代價,其差異所述之事不同於變動成本。

固定製造費用支出差異

支出差異 = 實際固定製造費用 − 預算固定製造費用

成本會計中最簡單之差異。原因包括:意外加薪、計劃外設備租賃、房產稅重估。

產量差異

產量差異 = 預算固定製造費用 − (標準費率 × 實際產出之允許標準數量)

  • 不利:實際產量低於分母水準——產能利用不足。
  • 有利:實際產量超過分母水準——產能充分利用。

太史公曰:產量差異非關支出控制,乃關產能利用。不利之產量差異非表示管理者超支,而表示帝國未填滿所建之城堡。

分母水準之選擇

分母水準 定義 對單位成本之影響
理論產能 最大可能產出 最低單位成本
實際產能 理論產能減不可避免停機 較低單位成本
正常產能 多年平均利用率 中等單位成本
總預算產能 預算期間之預期產出 最高單位成本

重點摘要

  • 固定製造費用有兩個差異:支出差異(成本控制)與產量差異(產能利用)。
  • 固定製造費用無效率差異——固定成本與產量無關。
  • 分母水準之選擇顯著影響單位成本與差異大小。

下一步

第 8 課探討存貨計價方法(歸納成本法 vs. 變動成本法)與產能概念之交互作用。

日本語

概要

  • 学習内容:固定間接費の支出差異、生産数量差異、固定間接費に効率差異がない理由、分母水準の選択が製品原価に与える影響。
  • 前提条件:レッスン6——変動間接費差異
  • 推定読了時間:16分

はじめに

太史公曰く:変動間接費は軍と共に移動する。固定間接費は要塞そのもの——駐屯軍が満員でも半分でも、要塞は微動だにしない。家賃は1万個生産しようが1個だろうが関知しない。

固定間接費支出差異

支出差異 = 実際固定間接費 − 予算固定間接費

原価計算で最もシンプルな差異。予算以上に支出したか否か。

生産数量差異

PVV = 予算固定間接費 − (標準レート × 実際産出の許容標準数量)

  • 不利:実際生産が分母水準以下——キャパシティ未活用。
  • 有利:実際生産が分母水準超——キャパシティをフル活用。

太史公曰く:生産数量差異は支出管理ではなくキャパシティ活用を測定する。

分母水準の選択肢

分母水準 定義 単位原価への影響
理論的キャパシティ 最大可能産出 最低単位原価
実際的キャパシティ 理論マイナス不可避停止 低い単位原価
正常キャパシティ 複数年の平均稼働率 中程度の単位原価
予算キャパシティ 予算期間の予想産出 最高単位原価

重要ポイント

  • 固定間接費の差異は支出差異(原価管理)と生産数量差異(キャパシティ活用)の二つ。
  • 固定間接費に効率差異はない——固定費は数量に依存しない。
  • 分母水準の選択が単位原価と差異の大きさに重大な影響を与える。

次のステップ

レッスン8では、在庫原価計算方法とキャパシティ概念の相互作用を学ぶ。

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