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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 — Visualização de Proporção em Tempo Real
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        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 e Equações Utilizadas

        Esta Capital Adequacy Ratio Calculator usa 5 equações principais:

        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 Proporção home page.

        Como Usar esta Calculadora

        Para usar esta Calculadora de Proporção, siga 3 passos:

        1

        Insira os Valores

        Digite os valores conhecidos nos campos de entrada. Deixe um campo vazio — esse é o valor desconhecido que a Calculadora de Proporção irá resolver.

        2

        Escolha o Modo

        Selecione o modo de proporção — Resolver, Simplificar ou Redimensionar. Cada modo aplica equações diferentes aos seus valores de entrada.

        3

        Obtenha os Resultados

        Clique em Calcular. A tela de resultados exibe a resposta com uma barra de proporção visual, um gráfico de pizza e um detalhamento da solução passo a passo.

        Problemas de Exemplo e Soluções Passo a Passo

        Aqui estão 3 problemas de exemplo com soluções passo a passo usando esta Calculadora de Proporção:

        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%

        Perguntas Frequentes

        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.

        Saiba Mais Sobre Razões

        O que é uma razão?

        Uma razão é uma comparação entre duas ou mais quantidades que indica o tamanho relativo de uma em relação à outra. Escrita como A : B, significa 'para cada A unidades da primeira quantidade, há B unidades da segunda'. Por exemplo, uma razão de 3 : 4 significa que para cada 3 partes de A, há 4 partes de B. As razões são usadas na culinária, construção, finanças, ciências e no dia a dia.

        Como resolvo uma proporção?

        Uma proporção é uma equação que indica que duas razões são iguais: A : B = C : D. Para encontrar um valor ausente, utiliza-se a multiplicação cruzada. Se D for desconhecido: D = (B × C) / A. Isso funciona porque, em razões iguais, os produtos cruzados são sempre iguais: A × D = B × C. Nossa Calculadora de Proporção faz isso automaticamente — basta digitar 3 valores para encontrar o quarto.

        Como simplifico uma razão?

        Para simplificar uma razão, encontre o Máximo Divisor Comum (MDC) de ambos os números e divida cada um deles por este divisor. Por exemplo, em 24 : 36, o MDC é 12. Assim, 24 ÷ 12 = 2 e 36 ÷ 12 = 3, resultando na razão simplificada de 2 : 3. Nosso simplificador calcula o MDC e reduz a razão automaticamente.

        O que é redimensionamento de razão e quando é útil?

        Redimensionar uma razão significa multiplicar ambas as partes pelo mesmo fator para gerar uma razão equivalente maior (ou menor). Por exemplo, redimensionar 2 : 5 por um fator de 3 resulta em 6 : 15. Isso é ideal para ajustar receitas (triplicar os ingredientes), na construção civil (escala de projetos), misturar soluções químicas ou em qualquer cenário onde é preciso manter a mesma proporção em outra escala.

        Qual é a diferença entre razão e fração?

        Uma razão A : B compara duas quantidades entre si (relação parte-parte), enquanto uma fração A/B costuma representar uma relação parte-todo. No entanto, toda razão pode ser representada como fração: 3 : 4 é o mesmo que 3/4 = 0.75. A diferença principal está no contexto de comparação das grandezas.