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ACCA Applied Skills · Financial Management

Finance for small- and medium-sized entities (SMEs): formula sheet

Full chapter guide

Key formulas

Matching principle
Long-term assets → long-term finance; fluctuating current assets → short-term finance
A guide, not a fixed rule. Aggressive or conservative policies depart from it.
Life cycle funding pattern
Seed/start-up → equity from owners and angels; growth → debt, leasing, venture capital; maturity → cheaper debt, listing or sale
A typical pattern, not a rule. Always adjust it to the scenario facts.
Annual cost of forgoing an early settlement discount
[(100 ÷ (100 − d)) ^ (365 ÷ N) − 1] × 100%
d is the discount % and N is the extra days of credit gained by not taking the discount (credit period minus discount period). This is the effective annual cost of trade credit.
Cash advanced by a factor
Invoice value × advance %
Typical advance is a stated percentage of approved invoices. The balance is paid when the customer pays or at the end of the agreed period, less charges.
Factor service fee
Credit sales × fee %
Often charged on turnover. Interest is charged separately on the amount advanced.
Matching principle
Short-term need → short-term finance; long-term need → long-term finance
A rule of good practice, not a law. Some businesses finance part of their permanent current assets with long-term funds.
Capital gain on exit
Gain = Exit proceeds − Original investment
Proceeds are the investor's percentage holding × value of equity at exit.
Investor's share of exit value
Proceeds = Shareholding % × Equity value at exit
Use the equity value, not the enterprise value, unless told otherwise. Deduct any debt first.
Annual return on a single exit
Annual return = (Proceeds ÷ Investment)^(1 ÷ n) − 1
n is the number of years held. This is a compound rate, not a simple average.
Equity value at exit using P/E
Equity value = Exit-year earnings × P/E ratio
Often used to value the company at flotation or trade sale.
Typical VC exit time
Exit usually within about 3 to 7 years
A general guide, not a rule. State it as typical.
Gearing (debt/equity)
Debt ÷ Equity
Define debt consistently (long-term debt, or including overdraft). Say which version you use.
Interest cover
Profit before interest and tax ÷ Interest expense
Low cover means profit gives little protection for the lender.
Current ratio
Current assets ÷ Current liabilities
Compare with the industry norm rather than a fixed target.
Quick ratio
(Current assets − Inventory) ÷ Current liabilities
Removes inventory, which may be slow to turn into cash.
Receivables days
Trade receivables ÷ Credit sales × 365
Use credit sales if given, otherwise revenue.
Inventory days
Inventory ÷ Cost of sales × 365
Use cost of sales for inventory and payables.
Payables days
Trade payables ÷ Credit purchases × 365
Use cost of sales if purchases are not given.
Cash operating cycle
Inventory days + Receivables days − Payables days
A longer cycle means more finance is tied up in working capital.
Closing cash balance
Opening balance + Receipts − Payments
Carry each closing balance forward as the next opening balance.

Quick revision

  • SMEs are often owner-managed, have limited security, short track records and no access to public markets.
  • The finance gap is the shortfall between the finance SMEs want and the finance providers will supply.
  • Lenders worry about risk, lack of security, weak information and the high cost of assessing small loans.
  • Match the term of finance to the need: short-term needs to short-term sources, long-term assets to long-term funds.
  • Retained profit and owner funds are cheap and fast but limit growth.
  • Trade credit, overdrafts and factoring support working capital but can be costly or withdrawn.
  • Leasing lets an SME use an asset without a large upfront payment.
  • Venture capital brings money and expertise but the investor expects a stake, influence and an exit route.
  • Government support can include grants, loan guarantees and tax reliefs; availability depends on the country.
  • When assessing a proposal, check purpose, amount, repayment ability, security, risk and the owners' own commitment.
  • Cash shortage, not lack of profit, is a leading cause of SME failure, so forecast cash and plan buffers.
  • In every answer, tie the advice to facts in the scenario.

Common mistakes

  • Treating SMEs as small versions of listed companies. Fix: Remember that SMEs usually have no access to public markets. Think owners, banks, trade credit, leasing and venture capital.
  • Recommending bank debt for a start-up with no assets or cash flow. Fix: Check security and cash flow. Banks lend against these. Start-ups usually need equity or angel funds first.
  • Defining the finance gap as any lack of finance. Fix: Define it as the gap between funds needed and funds supplied on reasonable terms.
  • Describing information asymmetry the wrong way round. Fix: State that the owner-managers know more than the lender, so the lender cannot judge risk.
  • Recommending a long-term source for a short-term need, or the reverse. Fix: State the time horizon first and check that the source repayment period fits it.
  • Treating trade credit as free. Fix: Remember the lost discount, the risk of supplier damage and the possible loss of future supply. Calculate the effective cost when a discount is offered.
  • Saying a loan guarantee means the government lends the money. Fix: A guarantee is a promise to cover part of the bank's loss on default. The bank still provides the loan.
  • Treating grants as free of any conditions. Fix: Mention eligibility rules, spending conditions, delays and possible clawback if conditions are broken.
  • Listing generic loan criteria without using the scenario. Fix: Tie every point to a fact given, such as the firm's age, receivables days or lack of security.
  • Treating profit as if it were cash. Fix: Remember depreciation is not a cash flow and credit sales are not yet received. Build the forecast from cash timing.

Exam tips

  • Always identify the life stage first. Most scenario marks depend on matching the source to the stage.
  • In written answers, link every characteristic to a financing consequence. A bare list earns little.
  • Check the scenario for owner control, security available and cash flow. These decide which options are suitable.
  • Do not recommend only one source. Give a short-term and a long-term source where the need has both.
  • For OT questions, eliminate options that break the matching principle first.
  • Always define the finance gap in one sentence, including 'acceptable terms'.
  • Write from the lender's perspective when the question asks why finance is refused.
  • Tie each point to scenario facts, since generic lists score poorly.