AP Business with Personal Finance · Lesson 1

Accounting, costs and financial capital

Know Know it

Accounting records every money transaction a business makes and turns those records into reports. Financial management uses the reports to plan: how much money the business needs, where the money should come from and how to spend it. Owners and managers read the reports from inside the business; lenders, investors and tax authorities read them from outside.

A budget is a plan of expected revenue and spending for a coming period. At the end of the period, managers compare actual figures with the budget. The gap is a variance. It is favorable when revenue beats the plan or a cost comes in under it, and unfavorable when revenue falls short or a cost runs over.

Fixed costs, such as rent, insurance and equipment leases, stay the same in total when output changes over a normal range. Variable costs, such as materials, packaging and fees charged on each sale, rise and fall with output. Total cost = fixed costs + (variable cost per unit x number of units).

Spending on something that lasts for years, such as an oven or a van, is a capital expenditure. The business does not count the whole price as an expense in the year it buys the item. It spreads the cost over the item's useful life, and that yearly share is depreciation. With straight-line depreciation, yearly depreciation = (cost - salvage value) / years of use. The asset's book value is its cost minus all the depreciation recorded so far.

Financial capital is the money a business uses to start, run and grow. Debt financing means borrowing, through a bank loan, a line of credit or bonds: the business repays the money with interest, and the owners keep full ownership. Equity financing means selling part of the ownership to investors, such as friends and family, angel investors or venture capital firms: nothing is repaid on a schedule, but the owners give up a share of control and of future profits. A business can also use retained earnings, profits it kept instead of paying them out.

Trap Fixed in total, not per unit

Fixed costs stay the same in total, so the fixed cost per unit falls as output rises. Variable cost per unit stays the same, so total variable cost rises with output. Before you calculate, check whether the question asks for a total or a per-unit figure.

Worked example Easy

A fictional food truck has the costs below. Which one is a fixed cost?

  1. Ingredients for each meal it sells
  2. Paper boxes and napkins handed out with meals
  3. The monthly fee for its parking permitAnswer
  4. The card processing fee charged on every sale

How to solve it

  1. Ask whether the cost changes when the truck sells more meals.
  2. Ingredients, boxes and per-sale card fees all grow with sales.
  3. Only the monthly permit fee stays the same, so it is the fixed cost.

Why each choice is right or wrong

  • A. Incorrect. Ingredients are used up in every meal, so their total rises with the number of meals sold, which makes them variable.
  • B. Incorrect. Boxes and napkins go out with each meal, so their total cost grows with sales, which makes them a variable cost.
  • C. Correct. The permit fee is the same each month whether the truck sells 50 meals or 500, so it is fixed.
  • D. Incorrect. A processing fee is charged on each card sale, so more sales mean more fees; it is a variable cost.

Explain Explain it

Task verbs: calculate, explain

The break-even point is the output at which total revenue equals total cost, so the business makes neither a profit nor a loss. Each unit sold brings in its price, but part of that pays the unit's own variable cost. What is left, price minus variable cost per unit, is the unit's contribution margin: the amount it adds toward fixed costs.

Break-even units = fixed costs / (price - variable cost per unit). Below that output the business has a loss. Above it, each extra unit adds its contribution margin to profit, so profit = (price - variable cost per unit) x units - fixed costs.

When you explain a financing choice, compare the options side by side: say what the business gains with each one and what it gives up, and tie both to the business in the question.

Calculator On the exam

A 4-function calculator is allowed on both sections of this exam, and the testing app has a 4-function calculator built in. No formula sheet is listed for this exam, so learn the cost and statement formulas in this unit by heart and practice setting them up before you press any keys.

Worked example Medium

Pinecrest Candle Co., a fictional business, pays 3,200 dollars a month in fixed costs. It sells each candle for 18 dollars, and each candle costs 10 dollars in wax, wicks and jars.

How many candles must Pinecrest sell in a month to break even?

  1. 114 candles
  2. 178 candles
  3. 320 candles
  4. 400 candlesAnswer

How to solve it

  1. Contribution margin per candle: 18 - 10 = 8 dollars.
  2. Break-even units: 3,200 / 8 = 400 candles.
  3. Check: 400 x 18 = 7,200 dollars of revenue, and 3,200 + 400 x 10 = 7,200 dollars of cost.

Why each choice is right or wrong

  • A. Incorrect. 114 comes from dividing 3,200 by 28, which adds the variable cost to the price instead of subtracting it.
  • B. Incorrect. 178 comes from dividing 3,200 by the 18-dollar price, which ignores the 10 dollars each candle costs to make.
  • C. Incorrect. 320 comes from dividing 3,200 by the 10-dollar variable cost, which is not the amount each sale adds toward fixed costs.
  • D. Correct. Each candle adds 18 - 10 = 8 dollars toward fixed costs, and 3,200 / 8 = 400 candles.

Explain Your turn

A fictional bike repair shop needs 60,000 dollars for new equipment. Its owners can take a five-year bank loan, or they can sell a 25 percent share of the shop to an investor. Explain one advantage of the loan compared with selling the share, and one drawback of the loan.

Write it, then compare. Nothing you type here is saved or graded.

Compare with a model answer

A full answer does this

  • Gives a true advantage of the loan over selling the share, such as keeping full ownership, full control or all future profits
  • Gives a true drawback of the loan, such as payments with interest that are due on schedule even when business is slow

Model answer

With the loan, the owners keep 100 percent of the shop, so they keep full control of decisions and all of its future profits; an investor with a 25 percent share would take a quarter of the profits for as long as the investor owns that share. The drawback is that the loan must be repaid with interest on a fixed schedule, even in a slow month when repair work is down, which can squeeze the shop's cash.

Apply Apply it

Practice these topics. AP Practice questions on exactly what this lesson covers, with an explanation for every answer.