1001Ferramentas
📊Calculators

ROE / ROA Calculator

Compute ROE = profit/equity and ROA = profit/assets.

ROE and ROA: profitability ratios

ROE (Return on Equity) measures the return generated for shareholders: ROE = net income / shareholders' equity · 100%. ROA (Return on Assets) measures how efficiently the company uses its asset base: ROA = net income / total assets · 100%. The DuPont decomposition breaks ROE into three drivers: ROE = net margin · asset turnover · leverage, exposing whether returns come from operations, efficiency, or debt. Example: net income R$ 500k, equity R$ 2M, assets R$ 5M gives ROE 25% and ROA 10% — the gap reveals financial leverage.

Applications and benchmarks

Core metrics in fundamental analysis, valuation, equity investing decisions, sector comparison, and corporate performance management. Benchmarks: Brazilian banks typically post ROE of 15–25% (Itaú and Banco do Brasil around 20%); retail 10–15%; big tech is higher (Google ~25%). ROA: banks ~1–2% (highly leveraged), tech 10–20%. A high ROE achieved with heavy leverage can mask risk — always inspect debt-to-equity together.

FAQ

Why is ROE higher than ROA? Because equity is smaller than total assets when the firm uses debt. The bigger the gap, the more leveraged the company.

Is a very high ROE always good? Not necessarily — it can come from excessive leverage or one-off gains. Check DuPont and the debt level.

Can ROE be negative? Yes, when net income is negative. Persistent negative ROE signals capital destruction.

Related Tools

🛡️

Combined Ratio (Insurance)

Computes an insurer's combined ratio: the sum of the loss ratio and the expense ratio. It's the central measure of an insurance operation's technical profitability — below one hundred percent, the insurer had an underwriting profit, making money on operations alone, before investments. Above one hundred percent, it had a technical loss and relied on investment income to finish in the black. Enter the loss ratio and the expense ratio.

📈

ROI Calculator

Calculate Return on Investment (ROI) from invested amount and gain. Shows ROI percent, net profit and annualized ROI. Useful for investment analysis. Everything in your browser.

🧢

Interest Rate Caplet (Black Model)

Computes the premium of a caplet with the Black model: an option that pays when a period's interest rate exceeds a cap. A full interest rate cap is a sum of caplets, one for each payment period. It's the classic protection for someone who took a floating-rate loan and wants to limit how much they can pay. The price discounts the expected payoff to the payment date. Enter the forward rate, the cap rate, the volatility, the fixing time, the accrual fraction, the discount factor and the notional.

🏦

Bond Price from YTM

Computes the price of a coupon bond from its yield to maturity, discounting all future coupons and the face value to present: P = C·[1 − (1+i)^(−n)]/i + F·(1+i)^(−n). It's the inverse of computing the YTM and the foundation of fixed-income pricing. When the coupon exceeds the YTM, the bond trades at a premium; when below, at a discount. The calculation divides coupon and yield by the payment frequency. Enter the face value, the coupon rate, the YTM, the years and the coupons per year.

🎯

Implied Volatility (Black-Scholes)

Computes the implied volatility of a European call option by inverting the Black-Scholes formula via bisection: given the market price, it finds the volatility the model would need to reach it. It's the volatility the market is actually pricing in, the number behind the volatility smile and the VIX. Unlike the other Greeks, it has no closed form and requires a numerical solution. Enter the spot price, the strike, the interest rate, the term and the market price of the call.

〰️

Svensson Yield Curve

Computes the spot rate with the Svensson curve, the extension of the Nelson-Siegel model that adds a second hump to fit more complex yield curves. With six parameters (four betas and two lambdas), it captures shapes Nelson-Siegel can't, which is why it's the choice of central banks like the ECB and the Bundesbank to publish their curves. Enter the four betas in percent, the two lambdas and the desired maturity.

The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.