AP® Business with Personal Finance review sheet from Aim for Five (aimforfive.com/business-finance/units/3/3-5)
Unit 3 · Topic 3.5
3.5 Financial Capital
Businesses need financial capital, meaning cash, to start, survive and grow. This topic covers when businesses need outside money, the difference between borrowing and selling ownership, what lenders and investors get and risk, and how a pitch persuades them.
Key terms
- bootstrapping
- break-even point
- equity financing
- bonds and stocks
- dividends and capital gains
- rate of return
When a business needs outside money
Many entrepreneurs start by bootstrapping: using personal savings, personal bank loans or personal credit cards. To decide whether that's enough, they compare their own funds with what the business needs at first, and they find the break-even point, the number of units they must sell in a period to cover all costs for that period.
Break-even quantity = fixed costs ÷ (price − variable cost per unit). Each unit sold earns its price minus its variable cost, and that amount goes toward covering fixed costs.
If the owner can't pay startup and operating costs until sales reach break-even, they need external financial capital. Established businesses look for it to develop new products, replace fixed assets (equipment, buildings) and grow sales. Both new and established businesses also borrow to smooth cash flow, since customers pay at irregular times but bills are always due.
Loans vs. equity
- New businesses (usually under about two years old) often borrow from friends and family or sell ownership shares to friends, family or outside investors.
- Established businesses (usually at least two years old, with proven revenue and the ability to repay) can get business bank loans.
- Corporations can issue bonds or stock. A bond is a loan from an investor to the business. Stock is an ownership share, sold privately or publicly.
| Type | How it works | Cost to the business |
|---|---|---|
| Loans (debt) | Borrow money and repay it with interest | Interest is an expense; bigger loans and higher rates cost more |
| Equity financing | Sell ownership shares to investors, who become part owners | Give up some control and a share of future profits |
What lenders and investors get, and risk
Lenders and investors receive financial assets: loans (including bonds) or shares of stock. They can later resell these in a secondary market, such as a stock exchange. If you buy a corporate bond there, you become a lender to that business; if you buy a share of stock, you become a shareholder.
Lenders earn interest. Investors may earn dividends, a share of the profits, though many corporations reinvest earnings instead of paying dividends. Anyone who sells an asset for more than they paid earns a capital gain. Prices of stocks and bonds move with the business's performance, investor demand and PESTEL forces.
Annual rate of return = (income + capital gain) ÷ price paid for the asset.
The risks: lenders lose if the business can't pay interest or repay. Investors lose dividends and stock value if profits fall, and can lose everything if the business shuts down. People differ in risk tolerance, their willingness to take financial risk, and anyone funding a riskier business expects a higher return.
The pitch
Lenders and investors usually want a business plan: the value proposition, market research, marketing strategy and financial projections that justify how much money is requested, the expected return and the risk. The owner sums this up in a short, polished pitch.
For an established business, funders also look at financial reports and industry data to estimate its valuation, what the business is worth. That tells investors what a share is worth and tells lenders whether the business can repay. Requests do better with evidence of product-market fit, a clear basis for the projections, a qualified leadership team, and a mission that matches the funder's goals.
Worked examples
Try each one yourself first, then open the solution.
- Example 1Calculator allowed
Finding the break-even point
Rosa's food truck has fixed costs of $6,200 a month. She sells meals for $11, and each meal has a variable cost of $3.50. How many meals must she sell each month to break even?
Show the solutionHide the solution
- Step 1: Each meal contributes $11.00 − $3.50 = $7.50 toward fixed costs.
- Step 2: Break-even quantity = $6,200 ÷ $7.50 ≈ 826.67 meals.
- Step 3: The trap: you can't sell part of a meal, and 826 meals would leave her just short. Round up.
Answer: 827 meals a month. Below that she loses money; above it she makes a profit.
- Example 2Calculator allowed
Rate of return on a stock and a bond
(a) Kai buys a share of stock for $40, receives $1.20 in dividends during the year and sells it for $44. (b) Mia buys a $1,000 bond that pays $50 of interest a year and holds it. Find each one's annual rate of return.
Show the solutionHide the solution
- Step 1: Rate of return = (income + capital gain) ÷ price.
- Step 2: (a) Capital gain = $44 − $40 = $4. Total gain = $1.20 + $4 = $5.20. Return = $5.20 ÷ $40 = 0.13 = 13%.
- Step 3: (b) Income = $50, no capital gain. Return = $50 ÷ $1,000 = 0.05 = 5%.
- Step 4: The stock earned more, but its price could just as easily have fallen. If Kai had sold at $34, his return would have been ($1.20 − $6) ÷ $40 = −12%.
Answer: (a) 13%. (b) 5%. Higher possible returns come with higher risk.
Common mistakes
- Calling a bond an ownership share. A bond is a loan to the business; stock is ownership.
- Leaving dividends or interest out of the rate of return. Add income and capital gain before dividing by the price.
- Rounding the break-even quantity down. Round up to the next whole unit.
On the exam
- Expect to calculate a break-even quantity or a rate of return with a four-function calculator, and to explain what the result means for the business or investor.
- Question 1 may ask whether a common challenge, such as getting outside funding, threatens your project. Know which funding sources fit a new business and why.
Connected topics
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Check yourself: 3.5 Financial Capital
4 questions on 3.5 Financial Capital. Pick an answer to see if you got it, and why.
Rosa has run a profitable food truck for three years and wants $60,000 to open a small restaurant. She plans to put in $15,000 of her own savings.
Option 1: A bank loan of $45,000 at 8% interest, repaid over five years.
Option 2: An investor would provide $45,000 in exchange for 30% ownership of the restaurant, including 30% of future profits and a vote on major decisions.
Hypothetical scenario
Rosa's plan to use $15,000 of her own savings is an example of
Which is the main drawback of Option 2 for Rosa?
Which fact most likely makes the bank willing to lend to Rosa?
Rosa will pitch her plan to the investor. Which addition would most strengthen her funding request?
0 of 4 answered