In-Depth Guides
Learn the math behind each calculator
Understanding the formulas helps you make better decisions — and catch any numbers that don't look right.
Mortgage & Loan Refinance: Is It Worth It?
Refinancing a mortgage or car loan means replacing your current loan with a new one — ideally at a lower interest rate. Done right, it can save you hundreds per month and tens of thousands over the life of the loan. Done wrong — especially when fees are high or you plan to sell soon — it costs more than you save.
The Refinance Break-Even Formula
The single most important calculation in any refinancing decision is your break-even point: how many months until your monthly savings fully recover your upfront costs.
Break-Even Months = Total Refinancing Fees ÷ Monthly Payment Savings
If your refinancing costs $4,000 and you save $180/month, your break-even is approximately 22 months. If you plan to sell the property or pay off the loan before 22 months, refinancing is not worthwhile — even if the new rate is lower.
What Counts as a Refinancing Fee?
Always include all costs when entering the "Refinancing Fees" figure into the calculator. These typically include:
- Origination / application fee — usually 0.5–1% of the loan amount
- Appraisal fee — $300–$700 for a professional property valuation
- Title search and insurance — $500–$1,500 depending on region
- Prepayment penalty — if your current lender charges one for early exit
- Legal / settlement fees — varies by lender and jurisdiction
Pro tip: Some lenders offer "no-closing-cost" refinancing — but they simply roll the fees into a slightly higher rate or add them to your loan balance. Use our calculator to compare both scenarios and find which truly costs less over your planned hold period.
When Refinancing Makes Sense
Refinancing is generally worth considering when: your new rate is at least 0.5–1% lower than your current rate; you plan to keep the loan long enough to pass the break-even point; your credit score has improved significantly since your original loan; or you want to switch from an adjustable-rate to a fixed-rate mortgage for stability.
1%
Minimum rate drop that typically justifies refinancing
24mo
Ideal break-even target for most borrowers
$5K
Average US mortgage refinancing cost
Compound Interest: The Formula That Builds Wealth
Compound interest is interest calculated on both your initial principal and the accumulated interest from previous periods. Unlike simple interest — which only calculates returns on your original deposit — compound interest allows your returns to generate their own returns. Over decades, this creates exponential, not linear, growth.
The Compound Interest Formula
A = P × (1 + r/n)^(n×t) + PMT × [((1 + r/n)^(n×t) - 1) / (r/n)]
Where: P = Principal | r = Annual rate | n = Compounds per year | t = Years | PMT = Monthly contribution
Why Compounding Frequency Matters
The more frequently interest compounds, the faster your money grows — though the difference between daily and monthly compounding is surprisingly small. What matters far more is your interest rate and how long you stay invested.
A $10,000 investment at 7% over 30 years grows to:
- Annually: $76,123
- Monthly: $81,136
- Daily: $81,371
The real wealth multiplier isn't compounding frequency — it's time in the market and consistent monthly contributions.
The Power of Starting Early
Someone who invests $500/month from age 25 to 65 at 7% annual returns will accumulate approximately $1.3 million. Someone who waits until age 35 to start the same contributions will have only about $610,000 — less than half — despite contributing for only 10 fewer years. This is the compounding effect in action.
Key insight: Use the "Tax Rate on Gains" field if you're investing in a taxable account. For tax-advantaged accounts like IRAs, 401(k)s, or ISAs, set this to 0% — your gains compound tax-free until withdrawal.
How to Set Your Freelance Hourly Rate
The most damaging mistake freelancers make is pricing their services based on what they used to earn as an employee. If you earned $80,000/year as a salaried worker, you might assume $40/hour covers it. It doesn't — not even close.
The Hidden Costs of Self-Employment
As a freelancer or independent contractor, you're responsible for expenses that employers typically absorb on your behalf:
- Self-employment tax: In the US, this alone is 15.3% on top of income tax. Most freelancers set aside 25–35% for all taxes combined.
- Business overhead: Software subscriptions (Adobe, Figma, accounting tools), professional insurance, home office costs, equipment depreciation, and professional development.
- Unpaid time: The hours you spend on admin, invoicing, client calls, proposals, networking, and portfolio maintenance — none of which are billable.
- No paid benefits: Health insurance, retirement contributions, paid leave, and sick days are all out-of-pocket.
The Freelance Rate Formula
Step 1: Gross Income Needed = Desired Take-Home ÷ (1 - Tax Rate)
Step 2: Total Revenue Needed = Gross Income + Annual Overhead
Step 3: Effective Hours = Weekly Hours × Weeks × (1 - Unpaid Buffer %)
Step 4: Minimum Rate = Total Revenue ÷ Effective Hours
Step 5: Final Rate = Minimum Rate × (1 + Profit Margin %)
Industry benchmark: Most experienced freelancers find their true rate is 2–3× their equivalent employee hourly rate once all factors are accounted for. If you'd earn $40/hour as an employee, a well-calculated freelance rate often lands between $80–$120/hour.
Rental Yield Explained: Gross vs Net vs Cash-on-Cash
Rental yield is the annual return generated by an investment property, expressed as a percentage of its value. There are three different yield metrics every property investor should understand — they tell you very different things about the same investment.
Gross Rental Yield
Gross Yield = (Annual Rent ÷ Property Price) × 100
This is the quick, top-line figure you'll see in most property listings and investment summaries. It ignores all expenses and is useful for comparing properties quickly — but never for making a final decision.
Net Rental Yield
Net Yield = ((Annual Rent - Annual Expenses) ÷ Property Price) × 100
Net yield subtracts all operating expenses — maintenance, property management fees (typically 8–12% of rent), insurance, property taxes, and vacancy losses — from your rental income before dividing by the property price. This is the more realistic and useful figure.
Cash-on-Cash Return
Cash-on-Cash Return = (Annual Net Cash Flow ÷ Total Cash Invested) × 100
Cash-on-cash return is arguably the most practical metric for leveraged property investors. Unlike yield calculations which use the full property value, cash-on-cash measures your return against only the cash you actually invested — your down payment plus closing costs. It fully accounts for your mortgage payments, making it ideal for comparing leveraged deals.
Cap Rate
Cap Rate = (Net Operating Income ÷ Property Price) × 100
The capitalization rate measures a property's income-generating potential independent of how it's financed. It's the metric professional investors and lenders use to compare properties on a level playing field — regardless of loan structure or down payment size.
5–8%
Good gross rental yield in most markets
4%+
Target net yield after all expenses
8%+
Strong cash-on-cash return for leveraged deals