3.5 Financial Capital
Why businesses raise outside capital, where it comes from, and how to pitch lenders and investors.
Why a business goes looking for money
Most founders start with bootstrapping: funding the startup from personal savings, and for some founders from personal bank loans or personal credit cards. The first test an entrepreneur runs is a comparison, holding personal funds against the business's initial needs. A founder with $6,000 of saved money facing a $21,000 launch has answered the question already, and the gap has an exact size.
The second test is break-even, which asks for the sales volume that covers a period's costs exactly, leaving neither profit nor loss. If projected monthly costs at opening are $6,000 and each unit sold contributes $4.50 after its own variable cost, the business needs 1,334 units a month, roughly 45 a day. An entrepreneur reaches for external financial capital once personal money can no longer fund both the launch and the months of operating costs it takes to arrive at that line.
The need does not end at launch. A business already running raises outside money for four documented reasons: to build new products, to replace fixed assets that have worn out, to push sales volume and revenue upward, and to smooth cash flow, since sales arrive unevenly while rent and payroll keep to a calendar.
Deal one: loans
Nearly every source of financial capital is one of two deals. Debt financing is the first. A fixed sum is borrowed and then repaid on a schedule, with interest added. That interest counts as a business expense and takes its own line on the income statement, and what borrowing costs climbs with both the rate charged and the amount owed.
A concrete structure makes the arithmetic visible. A $15,000 loan repaid over five years in sixty monthly payments of $300 returns $18,000 in total, so the cost of borrowing is $3,000 of interest, about 7.4% a year. When the structure is flat, every payment splits the same way, $250 of principal and $50 of interest, and only the interest half is an expense. The principal half retires the debt itself.
Who may borrow is a separate question from what borrowing costs. A business younger than about two years has produced no revenue record, which leaves a bank no way to judge whether it can repay. That is the business-scale twin of a consumer who earns steadily and has no credit history. New businesses therefore borrow from the owners' friends and family, put family credit behind a bank loan through a co-signer, or turn to equity investors. An established business with two or more years of proven revenue can borrow on its own record.
Deal two: equity financing
Equity financing raises money by issuing ownership shares. Cash comes in, whoever supplied it becomes a part owner, and that stake carries a permanent claim on a slice of future profits together with a say in how the place is run. No repayment ever happens, because nothing was borrowed, and that single fact is simultaneously the appeal and the price.
Comparing the two deals is an arithmetic exercise a founder can actually run. An offer of $15,000 for a 25% stake values the whole business at $60,000, since $15,000 divided by 0.25 is $60,000, and that estimate is what a valuation is. If the business nets $18,000 in a year, a quarter of that is $4,500 a year, permanently, plus a vote in every hire, flavor, and price. A loan costing $50 a month in interest costs $600 a year and ends at payment sixty.
What lenders and investors get, and risk
Both deals hand the provider a financial asset, either a loan or an ownership share. A lender's income is interest, and a creditor who advances $15,000 and collects $18,000 has earned $3,000. A lender's risk is nonpayment, and a co-signer is the arrangement that moves that risk onto a third person, who carries the lender's risk without earning the lender's interest.
An investor hopes to be paid two ways. Dividends are the investor's share of distributed profits, though some corporations pay none at all and reinvest every dollar instead. A capital gain arrives at the sale, when an asset sells for more than it cost. Financial assets can be resold in secondary markets, and the price there responds to how the business performs, to how badly investors want the asset, and to the PESTEL forces introduced back in Unit 1.
r = \frac{\text{income} + \text{capital gain}}{\text{price paid}}
One measure covers every asset. The annual rate of return takes the total dollars gained, meaning income together with any capital gain, and divides by what the asset cost. A $100 share that pays $3 of dividends and resells a year later at $105 has gained $8 on $100, which is an 8% return. Losses are equally available on both deals. Payments that stop cost a lender. Falling profits cost an investor her dividend income, a shrinking business costs her value, and a closure can cost her the whole stake, since owners stand last in line. Providers therefore sort themselves by risk tolerance, and every one of them demands a higher expected return as risk climbs.
The corporate versions: bonds and stock
Scale both deals up and the corporate forms appear. A corporation borrows by issuing bonds, and a bond is a loan from an investor to a business that pays the holder interest. A corporation raises equity by issuing shares of stock, ownership sold privately or to the public. The secondary market is what makes this personal: buying a corporate bond makes a consumer a lender to that business, and buying a share makes that consumer one of its owners.
The pitch, and what funders check
No capital moves without persuasion. Lenders and investors ask for a business plan. Four things go inside it: the value proposition, the market research standing behind it, the marketing strategy, and the financial projections. Those four together have to justify the size of the request, the return a funder can expect, and the risk being taken on. Compressed into a presentation, that document becomes the pitch.
A funding request wins on evidence rather than enthusiasm. What funders want to see is proof that the product fits its market, and a stated reason behind every projected number, and they will always prefer less risk attached to a higher expected return. The people get read as well: how qualified the leadership is, and whether what the business exists to do matches what the funder cares about. Once a business is established the review goes deeper. Its financial reports, its projections, and independent industry data combine into an estimated valuation, which answers two questions at once. An investor learns what one share is worth. A lender learns whether the business can carry the debt.
Essential knowledge covered on this page
| Learning objective | Essential knowledge | Section |
|---|---|---|
| 3.5.A Why businesses seek external financial capital | 3.5.A.1, 3.5.A.2, 3.5.A.3, 3.5.A.4, 3.5.A.5 | Why a business goes looking for money |
| 3.5.B Potential sources of financial capital | 3.5.B.1, 3.5.B.1.i, 3.5.B.1.ii, 3.5.B.2, 3.5.B.3, 3.5.B.4 | Deal one: loans, Deal two: equity financing, The corporate versions |
| 3.5.C Benefits and risks to lenders and investors | 3.5.C.1, 3.5.C.2, 3.5.C.3, 3.5.C.4, 3.5.C.5, 3.5.C.6, 3.5.C.7 | What lenders and investors get, and risk |
| 3.5.D Developing and evaluating a pitch | 3.5.D.1, 3.5.D.2, 3.5.D.3, 3.5.D.4 | The pitch, and what funders check |
Worked examples
Break-even in units, and in units per day
Compute the sales volume that covers a period's costs and convert it into a daily target.
A founder projects $6,000 of monthly costs at opening. Each unit sells for $6.00 and carries $1.50 of ingredients and packaging. Find the monthly break-even volume and the daily pace it implies.
- Projected monthly costs
- $6,000
- Selling price per unit
- $6.00
- Variable cost per unit
- $1.50
- Days open per month
- about 30
1. Find what each unit contributes
Subtract the variable cost from the price. $6.00 minus $1.50 leaves $4.50 that each sale puts toward the monthly costs.
2. Divide the costs by the contribution
Break-even is the number of units whose combined contribution equals the costs. $6,000 divided by $4.50 is 1,333.3.
Q = \frac{6000}{4.50}
3. Round in the direction that actually covers the costs
A third of a unit cannot be sold, and 1,333 units falls just short, so the honest figure is 1,334.
4. Convert to a daily pace
Divide by the days the shop is open. 1,334 over 30 is about 44.5, which rounds to roughly 45 units a day.
Answer
1,334 units a month, about 45 a day. The business must sell about 45 units a day just to stand still.
Why it matters
Break-even converts an intimidating cost total into a daily number a founder can actually watch. Pitching 60 a day against a 45-a-day floor is what makes a projection credible to a lender rather than merely optimistic.
What an equipment loan costs in total
Compute total repayment, total interest, and the split inside a single flat loan payment.
A $15,000 equipment loan is repaid over five years in sixty monthly payments of $300, structured so that every payment splits the same way. Find the cost of borrowing and the composition of one payment.
- Principal borrowed
- $15,000
- Number of payments
- 60
- Payment amount
- $300
1. Total everything repaid
Multiply the payment by the number of payments. 60 times $300 is $18,000.
2. Subtract the amount borrowed
Everything above the principal is the cost of borrowing. $18,000 minus $15,000 is $3,000 of interest.
3. Split one payment
Spread the principal evenly across the term: $15,000 over 60 payments is $250 of principal each time, so the remaining $50 of the $300 is interest.
4. Express the cost as an annual rate
The average-balance shortcut gives a rough answer. $3,000 of interest across five years is $600 a year, and on a balance averaging roughly half of $15,000 that reads as about 8%. The rate the lender would actually disclose on this payment schedule is about 7.4% a year. The gap between the two is what the shortcut costs, because the balance falls unevenly rather than sitting at exactly half the principal.
Answer
$3,000 of interest on $15,000 borrowed. Sixty payments of $300 return $18,000 against $15,000 borrowed, so borrowing cost $3,000, and each payment is $250 of principal plus $50 of interest.
Why it matters
Only the $50 half reaches an income statement as interest expense. The $250 half retires debt and shows up on the balance sheet instead, which is why the income statement alone never tells a reader how fast a loan is disappearing.
Pricing an equity offer against a loan
Derive the valuation implied by an equity offer and compare its long-run cost against a loan.
At the end of year one an investor offers $15,000 for a 25% ownership stake. That year the business netted $18,000. The existing loan costs $50 a month in interest and ends after payment sixty. Evaluate the offer.
- Cash offered
- $15,000
- Ownership requested
- 25%
- Year one net profit
- $18,000
- Monthly loan interest
- $50
1. Back out the implied valuation
If $15,000 buys a quarter of the business, the whole business is being valued at four times that. $15,000 divided by 0.25 is $60,000.
V = \frac{15000}{0.25}
2. Price the annual cost of the stake
The investor is entitled to a quarter of the profit. 0.25 times $18,000 is $4,500 a year, and that claim has no end date.
3. Price the annual cost of the loan
Interest of $50 a month is $600 a year, and it stops when the sixtieth payment clears.
4. Set the two side by side
Compare the recurring costs. $4,500 a year forever against $600 a year for a fixed term, plus a vote in every decision on one side and none on the other.
Answer
Decline: the equity costs 7.5 times more per year and never ends. The offer values the whole business at $60,000 and would cost $4,500 of profit every year permanently, against $600 a year on the loan for a term that ends.
Why it matters
Equity is not repaid, which is exactly what makes it expensive. The comparison an exam wants is not which deal is cheaper this month, it is which deal has a final payment.
Computing an annual rate of return
Combine income and capital gain into a single return figure for a financial asset.
An investor pays $100 for a share. Over the following year it pays $3 in dividends, and she sells it for $105. Compute the annual rate of return.
- Purchase price
- $100
- Dividends received
- $3
- Sale price
- $105
1. Find the capital gain
Subtract what was paid from what the sale brought in. $105 minus $100 is a $5 gain.
2. Add income to the gain
Total dollars gained combines both ways an investor is paid. $3 of dividends plus $5 of capital gain is $8.
3. Divide by the price paid
The denominator is always what the asset cost. $8 over $100 is 0.08.
r = \frac{3 + 5}{100}
4. State it as a percentage
Multiply by 100 to reach 8%.
Answer
8%. Three dollars of income and five dollars of capital gain on a $100 asset produce an 8% annual return.
Why it matters
The same formula prices a bond, a share, or a loan, which is what makes it useful. It is also why a provider of capital demanding more return is really demanding compensation for more risk.
Key terms
8 common mistakes on 3.5
The wrong moves students actually make on these questions, why each one is wrong, and what to do instead. Part of the practice tier.
See what is includedEssential knowledge covered
3.5.A.1 · 3.5.A.2 · 3.5.A.3 · 3.5.A.4 · 3.5.A.5 · 3.5.B.1 · 3.5.B.1.i · 3.5.B.1.ii · 3.5.B.2 · 3.5.B.3 · 3.5.B.4 · 3.5.C.1 · 3.5.C.2 · 3.5.C.3 · 3.5.C.4 · 3.5.C.5 · 3.5.C.6 · 3.5.C.7 · 3.5.D.1 · 3.5.D.2 · 3.5.D.3 · 3.5.D.4