Business Loan

Formula

M = P[r(1+r)^n]/[(1+r)^n-1]

Standard amortization formula. Business loans typically have shorter terms than mortgages but longer than personal loans.

Worked Examples

Example 1: SBA 7(a) Loan

Problem:$250,000 SBA loan at 8% for 10 years for equipment and working capital.

Solution:Monthly payment calculation: P = $250,000, r = 8%/12 = 0.667%, n = 120 PMT = $250,000 × [0.00667(1.00667)^120] / [(1.00667)^120 - 1] PMT = $3,033/month Total payments: $3,033 × 120 = $363,960 Total interest: $363,960 - $250,000 = $113,960 Effective cost: 45.6% of loan amount in interest

Result:$3,033/month | $113,960 total interest

Example 2: Compare Loan Terms

Problem:$100,000 loan at 10%. Compare 5-year vs 7-year term.

Solution:5-Year Term: Payment: $2,125/month Total interest: $27,480 Total cost: $127,480 7-Year Term: Payment: $1,661/month Total interest: $39,497 Total cost: $139,497 Difference: 7-year saves $464/month 7-year costs $12,017 more total Choose based on cash flow needs vs total cost tolerance.

Result:5-year saves $12K in interest

Example 3: Factor Rate vs APR

Problem:$50,000 from online lender. 1.25 factor rate, 12-month term. What's the real APR?

Solution:Factor rate calculation: Total repayment: $50,000 × 1.25 = $62,500 Weekly payment: $62,500 ÷ 52 = $1,202 Interest: $12,500 Simple interest: $12,500 ÷ $50,000 = 25% BUT - you're paying back principal over time. Effective APR is higher: ~45% Factor rates obscure true cost. Always calculate APR.

Result:1.25 factor ≈ 45% APR (not 25%!)

Frequently Asked Questions

What are typical business loan interest rates?

SBA loans: 6-9% (government-backed, lower risk). Bank term loans: 7-12% (traditional, good credit required). Online lenders: 10-30% (faster, easier approval, higher cost). Rates depend on credit score, revenue, time in business, and loan type.

What's the difference between SBA and conventional loans?

SBA loans: government-guaranteed, lower rates (6-9%), longer terms (up to 25 years), more paperwork, 30-90 days to fund. Conventional: bank's own money, higher rates, faster (1-4 weeks), stricter requirements. SBA best for larger amounts or when you need lower payments.

How much can I borrow for my business?

Depends on loan type. SBA 7(a): up to $5 million. Bank term loan: varies by bank. Online lenders: typically $5,000-$500,000. Equipment financing: up to 100% of equipment value. Generally based on annual revenue (often 10-30% of revenue) and ability to repay.

What do I need to qualify for a business loan?

Typical requirements: 2+ years in business, $100K+ annual revenue, 650+ personal credit score, positive cash flow. SBA loans: business plan, collateral. Online lenders: often more flexible - 1 year, $50K revenue, 500+ credit. Requirements vary by lender.

What is an SBA 7(a) loan?

The most common SBA loan. Up to $5 million for working capital, equipment, real estate. 7-10 year terms for working capital, 25 years for real estate. Rates: Prime + 2.25-4.75%. Government guarantees 75-85%, reducing lender risk and enabling better terms.

What is a business line of credit?

Revolving credit you draw from as needed. Pay interest only on what you use. Typically $10K-$250K. Good for managing cash flow, seasonal needs, opportunities. Rates: 7-25%. Can be secured or unsecured. Renews annually.

Should I get a term loan or line of credit?

Term loan: fixed amount, regular payments, best for specific purchases (equipment, expansion). Line of credit: flexible, pay as you use, best for ongoing cash flow needs, seasonal fluctuations, opportunities. Many businesses use both.

How does business loan interest work?

Most use simple interest on declining balance (like personal loans). Some online lenders use factor rates (multiply principal by 1.1-1.5) - looks lower but often higher effective APR. Always compare APR, not just stated rate or factor.

Can I pay off a business loan early?

Depends on terms. SBA loans: prepayment penalty in first 3 years (5%, 3%, 1%). Bank loans: may have penalty. Online loans: often no penalty. Check terms before signing. Early payoff saves interest if no penalty.

Background & Theory

Business loans fund growth, equipment, inventory, and operations. Understanding options helps you choose wisely and avoid costly mistakes. **Loan Types:** | Type | Amount | Rate | Term | Speed | |------|--------|------|------|-------| | SBA 7(a) | Up to $5M | 6-9% | 7-25 yr | 30-90 days | | Bank term | $25K-$1M+ | 7-12% | 1-10 yr | 1-4 weeks | | Online term | $5K-$500K | 10-30% | 6mo-5yr | 1-3 days | | Line of credit | $10K-$250K | 7-25% | Revolving | 1-7 days | | Equipment | Equipment value | 6-15% | Equipment life | 1-2 weeks | | Invoice factoring | Invoice value | 1-5% per month | Per invoice | 1-3 days | **Monthly Payment Formula:** PMT = P × [r(1+r)^n] / [(1+r)^n - 1] Where: - P = Principal (loan amount) - r = Monthly interest rate - n = Number of payments **Key Qualification Factors:** | Factor | Impact | |--------|--------| | Time in business | 2+ years preferred | | Annual revenue | Determines max loan | | Personal credit | 650+ for best rates | | Business credit | D&B, Experian Business | | Cash flow | Ability to repay | | Collateral | Secures better terms | **Cost Comparison Tips:** 1. Always compare APR, not stated rate 2. Factor rates hide true cost 3. Include all fees in comparison 4. Consider prepayment penalties 5. Calculate total cost of capital

History

Business lending has ancient roots. Merchants borrowed for trade expeditions millennia ago. Medieval banking families like the Medicis pioneered commercial lending. American business lending formalized in the 19th century. Banks served large businesses; small businesses relied on personal relationships and informal lending. The Small Business Administration (SBA) was created in 1953 to help small businesses access capital. SBA loan programs reduced lender risk through government guarantees, expanding access. The 1980s-90s brought securitization and new lending products. Asset-based lending, factoring, and equipment financing expanded options. Community development financial institutions (CDFIs) served underserved markets. The 2008 financial crisis tightened lending dramatically. Traditional banks pulled back from small business lending. This created opportunity for alternative lenders. Fintech transformed business lending in the 2010s. Online lenders (OnDeck, Kabbage, BlueVine) offered faster approval and funding. Technology enabled automated underwriting. Factor rate pricing emerged (controversial for obscuring true costs). Today's business lending landscape is diverse. Traditional banks, SBA-backed loans, online lenders, and alternative financing (merchant cash advances, revenue-based financing) serve different needs. The key is understanding true costs and matching product to purpose.