25 Quick Answers
Quick answers.
Short, sourced answers to the questions behind the calculators - compound interest, APR, BMI, TDEE, macros, mortgage math, and more.
Finance
How is APR calculated?
APR (Annual Percentage Rate) = ((Interest + Fees) / Principal) / Loan Term in Years × 100. It includes the interest rate plus any up-front fees, spread across the life of the loan,…
What is compound interest?
Compound interest is interest that earns interest. Each period, interest is added to the principal, and the next period's interest is calculated on the new, larger balance. Formula…
What is a good debt-to-income ratio?
A DTI under 36% is generally considered good, and most mortgage lenders cap DTI at 43% for qualified loans. Under 20% indicates strong financial health; above 43% makes borrowing d…
How much house can I afford?
The 28/36 rule: spend no more than 28% of gross monthly income on housing and no more than 36% on total debt. For a $100K income, that's about $2,333/month for housing, roughly a $…
What is net present value (NPV)?
NPV is the current value of future cash flows, discounted to today's dollars. NPV = Σ (Cash Flow_t / (1 + r)^t) − initial investment. Positive NPV means the investment beats the di…
How is mortgage interest calculated?
Mortgage interest is calculated monthly on the remaining balance. Formula: monthly interest = (balance × annual rate) / 12. Early payments are mostly interest; late payments are mo…
How do you calculate ROI?
ROI = (Gain − Cost) / Cost × 100. For a $1,000 investment that returns $1,250, ROI = ($250/$1,000) × 100 = 25%. Annualized ROI adjusts for time: ((1 + total ROI)^(1/years) − 1) × 1…
How is a Roth IRA taxed?
Roth IRA contributions are made with after-tax dollars, so they're not deductible. All qualified withdrawals in retirement, including earnings, are 100% tax-free. Contributions can…
How do you pay off credit card debt faster?
Three proven strategies: (1) pay more than the minimum, even $50 extra/month cuts years off; (2) target highest-APR cards first (avalanche method); (3) consolidate to a 0% balance …
What is a good credit utilization ratio?
Credit utilization = current balances / total credit limits. For the best FICO scores, keep utilization below 30% overall, and ideally under 10%. A $10,000 total limit means carryi…
How do you calculate the Sharpe ratio?
Sharpe ratio = (Portfolio Return − Risk-Free Rate) / Portfolio Standard Deviation. It measures return per unit of risk. Above 1 is good, above 2 is very good, above 3 is exceptiona…
Health
What is BMI and how is it calculated?
Body Mass Index (BMI) = weight (kg) / height (m)². In pounds and inches: BMI = (weight × 703) / height². The WHO defines normal weight as 18.5-24.9, overweight as 25-29.9, and obes…
How many calories should I eat per day?
Most adults need 1,600-2,400 calories per day for weight maintenance, depending on sex, age, weight, and activity level. Subtract about 500 calories per day for roughly 1 lb/week w…
What is a healthy body-fat percentage?
For men, 10-20% body fat is generally considered healthy; 21-24% is acceptable; 25%+ is obese. For women, 18-28% is healthy; 29-31% is acceptable; 32%+ is obese. Athletes run leane…
What is TDEE?
TDEE (Total Daily Energy Expenditure) is the total calories your body burns in a day, including resting metabolism, digestion, activity, and exercise. TDEE = BMR × activity multipl…
How much protein should I eat per day?
For most adults, 0.7-1.0 grams of protein per pound of body weight (1.6-2.2 g/kg) is ideal for muscle maintenance and fat loss. Sedentary adults need only 0.36 g/lb (RDA minimum). …
How do you calculate your macros?
Macros = calories split between protein (4 cal/g), carbs (4 cal/g), and fat (9 cal/g). A common split is 40% carbs / 30% protein / 30% fat. On 2,000 calories: 200 g carbs, 150 g pr…