Gratis e Instantáneo — Sin Registro Requerido

Capital Adequacy Ratio Calculator

Calculate Capital Adequacy Ratios (CAR) including Tier 1, CET1, and total capital ratios against risk-weighted assets. Assess Basel III regulatory compliance, evaluate capital buffers, and analyze the impact of portfolio changes on bank capital adequacy — built for banking professionals and financial analysts.

Capital Adequacy Ratio Calculator — Vista Previa de Relación en Vivo
Capital Ratios
—
A
B
⚖️
Proportion Solver
A : B = C : D — Enter any 3 values
:
=
:
📊
Results
Visual ratio breakdown
Solved Proportion
—
Simplified
—
Percentages
—
Decimal
—
Fraction
—
Visual Ratio
A
B
Part A: —
Part B: —
    ✨
    Ratio Simplifier
    Reduce any ratio to its simplest form
    :
    📊
    Simplified Result
    Reduced to lowest terms
    Simplified Ratio
    —
    GCD Used
    —
    Percentages
    —
    Decimal Ratio
    —
    Fraction
    —
    Visual Ratio
    A
    B
    Part A: —
    Part B: —
      📐
      Ratio Scaler
      Multiply a ratio by a scale factor
      :
      ×
      📊
      Scaled Result
      Ratio after scaling
      Scaled Ratio
      —
      Original
      —
      Factor
      —
      Percentages
      —
      Simplified
      —
      Visual Ratio
      A
      B

        🕐 Recent Calculations

        📭
        No calculations yet. Start computing above!

        What is Capital Adequacy Ratio?

        The Capital Adequacy Ratio (CAR) measures a bank's available capital as a percentage of its risk-weighted assets (RWA). It is the primary regulatory metric for ensuring banks maintain sufficient capital to absorb unexpected losses and protect depositors. Under the Basel III framework, banks must maintain a minimum total CAR of 8%, with at least 4.5% from Common Equity Tier 1 (CET1) capital.

        Tier 1 capital — comprising common equity, disclosed reserves, and retained earnings — represents the highest-quality, loss-absorbing capital. Tier 2 (supplementary) capital includes subordinated debt and hybrid instruments that absorb losses only in liquidation. Regulators worldwide use CAR as a key indicator of banking system stability, and banks falling below minimum thresholds face restrictions on dividends, bonuses, and lending growth.

        Fórmulas y Ecuaciones Utilizadas

        Esta Capital Adequacy Ratio Calculator utiliza 5 ecuaciones principales:

        1 Capital Adequacy Ratio ▼
        CAR = (Tier 1 Capital + Tier 2 Capital) / Risk-Weighted Assets × 100

        A bank with $10B Tier 1, $3B Tier 2, and $100B RWA: CAR = ($13B / $100B) × 100 = 13%.

        2 Tier 1 Ratio ▼
        Tier 1 Ratio = Tier 1 Capital / Risk-Weighted Assets × 100

        A bank with $8B Tier 1 capital and $80B RWA has a Tier 1 ratio of 10%.

        3 CET1 Ratio ▼
        CET1 Ratio = Common Equity Tier 1 / Risk-Weighted Assets × 100

        Basel III requires a minimum CET1 ratio of 4.5%. Most banks target 10%+ for safety.

        Explore all calculation options on the Calculadora de Relación home page.

        Cómo Usar esta Calculadora

        Para usar esta Calculadora de Relación, siga 3 pasos:

        1

        Ingrese los Valores

        Escriba los valores de relación conocidos en los campos de entrada. Deje un campo vacío; ese es el valor desconocido que resuelve la Calculadora de Relación.

        2

        Elija el Modo

        Seleccione el modo de relación: Resolver, Simplificar o Escalar. Cada modo aplica diferentes ecuaciones a sus valores de entrada.

        3

        Obtenga Resultados

        Haga clic en Calcular. La pantalla de resultados muestra la respuesta con una barra de relación visual, un gráfico circular y un desglose de la solución paso a paso.

        Problemas de Ejemplo y Soluciones Paso a Paso

        Aquí hay 3 problemas de ejemplo con soluciones paso a paso usando esta Calculadora de Relación:

        Entrada 1 Bank with $150M Tier 1, $50M Tier 2 capital, $1,600M RWA
        1 Calculate Total Regulatory Capital: Tier 1 (150M) + Tier 2 (50M) = 200M.
        2 Divide Total Capital by Risk-Weighted Assets (RWA): 200M ÷ 1,600M = 0.125.
        3 Convert to percentage: 0.125 × 100% = 12.5%.
        ✓ Capital Adequacy Ratio (CAR) is 12.5% (Above Basel III 10.5% threshold)
        Entrada 2 Evaluate minimum Tier 1 capital adequacy for $2,000M RWA
        1 Identify Basel III Tier 1 requirement (minimum 6.0% + 2.5% conservation buffer = 8.5%).
        2 Calculate required Tier 1 capital: 2,000M × 0.085 = 170M.
        3 Compare actual Tier 1 against capital adequacy benchmark.
        ✓ Required Tier 1 Capital is 170 Million
        Entrada 3 Impact of $100M new commercial loans at 100% risk weight
        1 Calculate additional RWA: 100M × 100% = 100M additional RWA.
        2 New Total RWA = 1,600M + 100M = 1,700M.
        3 Compute new CAR with existing 200M capital: 200M ÷ 1,700M = 11.76%.
        ✓ Adjusted CAR drops from 12.50% to 11.76%

        Preguntas Frecuentes

        What is the minimum Capital Adequacy Ratio? ▼

        Basel III requires a minimum total CAR of 8%, with at least 4.5% CET1 and 6% Tier 1 capital. Adding the mandatory 2.5% capital conservation buffer brings the effective minimum to 10.5%. Systemically important banks face additional surcharges of 1-3.5%.

        What is the difference between Tier 1 and Tier 2 capital? ▼

        Tier 1 (core capital) includes common equity and retained earnings — it absorbs losses while the bank continues operating. Tier 2 (supplementary capital) includes subordinated debt and hybrid instruments that absorb losses only in winding-up or liquidation. Tier 1 is considered higher quality because it is permanently available.

        What are risk-weighted assets? ▼

        Risk-weighted assets assign risk weights to different asset categories reflecting their credit risk. Cash and government bonds carry 0-20% weight, residential mortgages 35-50%, and unsecured corporate loans 100%. Total RWA = sum of (asset value × risk weight) across all exposures.

        Why is CAR important for banks? ▼

        CAR ensures banks can absorb unexpected losses from loan defaults, market declines, and operational failures without becoming insolvent. Higher CAR provides a larger cushion for depositors and the broader financial system. Banks with insufficient CAR face regulatory restrictions on lending, dividends, and growth.

        How does a bank improve its CAR? ▼

        Banks can raise CAR by issuing new common equity, retaining earnings instead of paying dividends, reducing risk-weighted assets (selling or securitizing risky loans), converting debt to equity, or shifting the portfolio toward lower-risk-weight assets like government bonds.

        What is CET1 and why does it matter? ▼

        Common Equity Tier 1 (CET1) is the highest-quality form of regulatory capital, consisting of common shares, retained earnings, and accumulated other comprehensive income. It is the first line of defense against losses. Basel III requires a minimum CET1 ratio of 4.5%, but most well-capitalized banks maintain 10-14%.

        How do loan losses affect the capital adequacy ratio? ▼

        Loan losses directly reduce Tier 1 capital through the income statement (provisions reduce retained earnings). A $100M write-off on a bank with $1B in Tier 1 capital and $10B RWA drops the Tier 1 ratio from 10% to 9%. The RWA may also change as the defaulted asset is written off.

        What is the leverage ratio vs. capital adequacy ratio? ▼

        The leverage ratio uses total assets (not risk-weighted) as the denominator: Tier 1 Capital ÷ Total Exposure. Basel III requires a minimum 3% leverage ratio. It serves as a backstop to CAR, preventing banks from gaming risk weights to appear well-capitalized while holding enormous total exposures.

        How often are capital adequacy ratios reported? ▼

        Banks report CAR quarterly to their national regulator (e.g., Fed, PRA, APRA). Publicly listed banks also disclose capital ratios in their quarterly earnings releases. Regulators may require more frequent reporting during periods of financial stress.

        What happens if a bank falls below minimum CAR? ▼

        Banks below the capital conservation buffer (10.5% total) face automatic restrictions on dividend payments, share buybacks, and discretionary bonus payments. Banks below absolute minimums (8% total, 6% Tier 1, 4.5% CET1) may face supervisory intervention, mandatory capital raising, or in extreme cases, resolution proceedings.

        Do all countries use the same CAR requirements? ▼

        Basel III provides the global framework, but national regulators can (and do) impose stricter requirements. For example, Switzerland requires 14.3% for systemically important banks, India mandates 9% minimum CAR, and Australia requires 10.5%. Always check your jurisdiction's specific requirements.

        Aprenda Sobre las Relaciones

        ¿Qué es una relación?

        Una relación es una comparación entre dos o más cantidades que muestra el tamaño relativo de una respecto a otra. Escrita como A : B, significa 'por cada A unidades de la primera cantidad, hay B unidades de la segunda.' Por ejemplo, una relación de 3 : 4 significa que por cada 3 partes de A, hay 4 partes de B. Las relaciones se utilizan en cocina, construcción, finanzas, ciencias y en la vida diaria.

        ¿Cómo resuelvo una proporción?

        Una proporción es una ecuación que establece que dos relaciones son iguales: A : B = C : D. Para resolver un valor faltante, utilice la multiplicación cruzada. Si D es desconocido: D = (B × C) / A. Esto funciona porque en relaciones iguales, los productos cruzados siempre son iguales: A × D = B × C. Nuestro Solucionador de Proporciones hace esto automáticamente: ingrese 3 valores cualesquiera y encontrará el cuarto.

        ¿Cómo simplifico una relación?

        Para simplificar una relación, encuentre el Máximo Común Divisor (MCD) de ambos números y divida cada uno por él. Por ejemplo, para 24 : 36, el MCD es 12. Entonces 24 ÷ 12 = 2 y 36 ÷ 12 = 3, dando la relación simplificada de 2 : 3. Nuestro Simplificador encuentra automáticamente el MCD y reduce su relación a sus términos mínimos.

        ¿Qué es el escalado de relaciones y cuándo es útil?

        Escalar una relación significa multiplicar ambas partes por el mismo factor para crear una relación equivalente más grande (o más pequeña). Por ejemplo, escalar 2 : 5 por un factor de 3 da 6 : 15. Esto es muy útil en recetas (triplicar una receta), construcción (escalar planos), mezclar soluciones o cualquier escenario donde necesite mantener la misma proporción a una escala diferente.

        ¿Cuál es la diferencia entre una relación y una fracción?

        Una relación A : B compara dos cantidades entre sí (parte a parte), mientras que una fracción A/B normalmente representa una relación de parte a todo. Sin embargo, cualquier relación se puede expresar como una fracción: 3 : 4 equivale a 3/4 = 0.75. La diferencia clave es el contexto: las relaciones comparan cantidades cara a cara, mientras que las fracciones representan una porción de un total.