Capital Ratio
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Capital Adequacy Ratio (CAR) is also known as ''Capital to Risk (Weighted) Assets Ratio'' (CRAR), is the ratio of a bank's
capital Capital may refer to: Common uses * Capital city, a municipality of primary status ** List of national capital cities * Capital letter, an upper-case letter Economics and social sciences * Capital (economics), the durable produced goods used f ...
to its risk. National regulators track a bank's CAR to ensure that it can absorb a reasonable amount of loss and complies with statutory Capital requirements. It is a measure of a bank's capital. It is expressed as a percentage of a bank's risk-weighted credit exposures. The enforcement of regulated levels of this ratio is intended to protect depositors and promote stability and efficiency of financial systems around the world. Two types of capital are measured: tier one capital, which can absorb losses without a bank being required to cease trading, and tier two capital, which can absorb losses in the event of a winding-up and so provides a lesser degree of protection to depositors.


Formula

Capital adequacy ratios (CARs) are a measure of the amount of a bank's
core capital Tier 1 capital is the core measure of a bank's financial strength from a regulator's point of view.By definition of Bank for International Settlements. It is composed of ''core capital'', which consists primarily of common stock and disclosed re ...
expressed as a
percentage In mathematics, a percentage (from la, per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also us ...
of its risk-weighted asset. Capital adequacy ratio is defined as: \mbox = \cfrac TIER 1 CAPITAL = (paid up capital + statutory reserves + disclosed free reserves) - (equity investments in subsidiary + intangible assets + current & brought-forward losses) TIER 2 CAPITAL = A) Undisclosed Reserves + B) General Loss reserves + C) hybrid debt capital instruments and subordinated debts where Risk can either be weighted assets (\,a) or the respective national regulator's minimum total
capital Capital may refer to: Common uses * Capital city, a municipality of primary status ** List of national capital cities * Capital letter, an upper-case letter Economics and social sciences * Capital (economics), the durable produced goods used f ...
requirement. If using risk weighted assets, \mbox = \cfrac ≥ 10%. The percent threshold varies from bank to bank (10% in this case, a common requirement for regulators conforming to the
Basel Accords The Basel Accords refer to the banking supervision accords (recommendations on banking regulations) issued by the Basel Committee on Banking Supervision (BCBS). Basel I was developed through deliberations among central bankers from major countries ...
) and is set by the national banking regulator of different countries. Two types of capital are measured:
tier one capital Tier 1 capital is the core measure of a bank's financial strength from a regulator's point of view.By definition of Bank for International Settlements. It is composed of ''core capital'', which consists primarily of common stock and disclosed res ...
(T_1 above), which can absorb losses without a bank being required to cease trading, and tier two capital (T_2 above), which can absorb losses in the event of a winding-up and so provides a lesser degree of protection to depositors.


Use

Capital adequacy ratio is the ratio which determines the bank's capacity to meet the time liabilities and other risks such as credit risk, operational risk etc. In the most simple formulation, a bank's capital is the "cushion" for potential losses, and protects the bank's depositors and other lenders. Banking regulators in most countries define and monitor ''CAR'' to protect depositors, thereby maintaining confidence in the banking system. CAR is similar to leverage; in the most basic formulation, it is comparable to the
inverse Inverse or invert may refer to: Science and mathematics * Inverse (logic), a type of conditional sentence which is an immediate inference made from another conditional sentence * Additive inverse (negation), the inverse of a number that, when ad ...
of debt-to-
equity Equity may refer to: Finance, accounting and ownership * Equity (finance), ownership of assets that have liabilities attached to them ** Stock, equity based on original contributions of cash or other value to a business ** Home equity, the dif ...
leverage formulations (although CAR uses equity over assets instead of debt-to-equity; since assets are by definition equal to debt plus equity, a transformation is required). Unlike traditional leverage, however, CAR recognizes that assets can have different levels of risk.


Risk weighting

Since different types of assets have different
risk profiles Risk equalization is a way of equalizing the risk profiles of insurance members to avoid loading premiums on the insured to some predetermined extent. In health insurance, it enables private health insurance to operate in some countries to be offe ...
, CAR primarily adjusts for assets that are less risky by allowing banks to "discount" lower-risk assets. The specifics of CAR calculation vary from country to country, but general approaches tend to be similar for countries that apply the
Basel Accord The Basel Accords refer to the banking supervision accords (recommendations on banking regulations) issued by the Basel Committee on Banking Supervision (BCBS). Basel I was developed through deliberations among central bankers from major countries ...
s. In the most basic application, government debt is allowed a 0% "risk weighting" - that is, they are subtracted from total assets for purposes of calculating the CAR.


Risk weighting example

Risk weighted assets - Fund Based : Risk weighted assets mean fund based assets such as cash, loans, investments and other assets. Degrees of credit risk expressed as percentage weights have been assigned by the national regulator to each such assets. Non-funded (Off-Balance sheet) Items : The credit risk exposure attached to off-balance sheet items has to be first calculated by multiplying the face amount of each of the off-balance sheet items by the
Credit Conversion Factor The credit conversion factor (CCF) is a coefficient in the field of credit rating. It is the ratio between the additional amount of a loan used in the future and the amount that could be claimed. Background The key variables for (credit) risk a ...
. This will then have to be again multiplied by the relevant weightage. Local
regulations Regulation is the management of complex systems according to a set of rules and trends. In systems theory, these types of rules exist in various fields of biology and society, but the term has slightly different meanings according to context. For ...
establish that cash and
government bonds A government bond or sovereign bond is a form of bond issued by a government to support public spending. It generally includes a commitment to pay periodic interest, called coupon payments'','' and to repay the face value on the maturity date ...
have a 0% risk weighting, and
residential A residential area is a land used in which housing predominates, as opposed to industrial and commercial areas. Housing may vary significantly between, and through, residential areas. These include single-family housing, multi-family residen ...
mortgage loans have a 50% risk weighting. All other types of assets (loans to customers) have a 100% risk weighting. ''Bank "A"'' has assets totaling 100 units, consisting of: * Cash: 10 units * Government bonds: 15 units * Mortgage loans: 20 units * Other loans: 50 units * Other assets: 5 units ''Bank "A"'' has debt of 95 units, all of which are deposits. By definition,
equity Equity may refer to: Finance, accounting and ownership * Equity (finance), ownership of assets that have liabilities attached to them ** Stock, equity based on original contributions of cash or other value to a business ** Home equity, the dif ...
is equal to assets minus debt, or 5 units. Bank A's risk-weighted assets are calculated as follows Even though ''Bank A'' would appear to have a debt-to-equity ratio of 95:5, or equity-to-assets of only 5%, its CAR is substantially higher. It is considered less risky because some of its assets are less risky than others.


Types of capital

The
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recognize that different types of equity are more important than others. To recognize this, different adjustments are made: # Tier I Capital: Actual contributed equity plus retained earnings... # Tier II Capital: Preferred shares plus 50% of subordinated debt... Different minimum CARs are applied. For example, the minimum
Tier I The WTA Tier I tournaments were Women's Tennis Association tennis elite tournaments held from 1990 until the end of the 2008 season. From 1988 to 1990, the different levels of WTA tournaments were referred to by the term 'Category', and there ...
equity Equity may refer to: Finance, accounting and ownership * Equity (finance), ownership of assets that have liabilities attached to them ** Stock, equity based on original contributions of cash or other value to a business ** Home equity, the dif ...
allowed by statute for risk-weighted assets may be 6%, while the minimum CAR when including Tier II capital may be 8%. There is usually a maximum of Tier II capital that may be "counted" towards CAR, which varies by jurisdiction.


See also

* Capital requirement * Tier 1 capital * Tier 2 capital *
Basel accord The Basel Accords refer to the banking supervision accords (recommendations on banking regulations) issued by the Basel Committee on Banking Supervision (BCBS). Basel I was developed through deliberations among central bankers from major countries ...
s


References


External links


Capital Adequacy Ratio
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. {{DEFAULTSORT:Capital Adequacy Ratio Financial economics Financial ratios Capital requirement