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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 — リアルタイム比率プレビュー
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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.

        使用される計算公式・方程式

        この計算ツールは5つの主要な公式を使用しています:

        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 比率計算ツール home page.

        比率計算ツールの使い方

        この比率計算ツールは、以下の3ステップで簡単にご利用いただけます:

        1

        数値を入力

        入力欄に既知の比率の値を入力します。求めたい未知数の入力欄は空欄のままにしておきます。

        2

        モードを選択

        比率モード(解く、簡素化、スケーリング)を選択します。各モードで異なる計算式が適用されます。

        3

        結果を確認

        計算するボタンを押します。結果画面に答えと、視覚的な比率バー、円グラフ、詳細なステップバイステップの解決プロセスが表示されます。

        実例問題と段階的な解説

        本比率計算ツールを使って、以下の3つの例題をステップバイステップで解決するプロセスです:

        入力 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)
        入力 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
        入力 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%

        よくある質問 (FAQ)

        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.

        比率の理論を学ぶ

        比率とは具体的に何ですか?

        比率とは、2つ以上の数量の大きさを互いに比較して相対的な割合を表した数値です。記号では A : B のように表し、「Aの量に対してBの量が対応する」という相互関係を意味します。例えば、3 : 4 の比率は、Aが3つ分配されるときBは4つマッチするという正比例関係を持ちます。料理、工学設計、財務分析など日常のあらゆる場面で使われます。

        比例式はどのように解きますか?

        比例式は、2つの比率の値が等しいことを表す等式です(A : B = C : D)。外項の積(A × D)と内項 of 積(B × C)は常に等しくなります。未知数 D を求めるには、内項の積を求め、それをもう一方の外項 A で割ります: D = (B × C) / A。当ツールの比例式解決モードに既知の3つの数値を入力すれば、未知数を即座に算出できます。

        比率はどのように簡単に整理しますか?

        2つの数値の最大公約数(GCD)を求めた後、両方の数値をその最大公約数で割って約分します。例えば 24 : 36 の場合、24と36の最大公約数が 12 なので、両方を 12 で割ると最も簡単な自然数の比である 2 : 3 になります。比率計算ツールがGCDの算出と約分を自動的に処理します。

        比率のスケーリングはいつ使用しますか?

        比率の関係を崩さずに全体の分量を増やしたり減らしたりするときに使用します。例えば、2 : 5 の割合の材料があるとき、両方に 3 を掛ければ 6 : 15 になり、同じ比重を保ったまま3倍の量の配合物を準備することができます。パン生地の容量変更や、図面の縮尺変更に欠かせません。

        比率と分数の違いは何ですか?

        比率(A : B)は同等の要素同士の大きさの比較(部分対部分)に適しており、分数(A/B)は全体の中である要素が占める割合(部分対全体)を表現することが多いです。ただし、比率 3 : 4 も分数 3/4(小数で0.75)として表現できます。使われる文脈や意味合いにおいてニュアンスの違いがあります。