Merton Model
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Merton Model
The Merton model, developed by Robert C. Merton in 1974, is a widely used credit risk model. Analysts and investors utilize the Merton model to understand how capable a company is at meeting financial obligations, servicing its debt, and weighing the general possibility that it will go into credit default. Under this model, the value of stock equity is modeled as a call option on the value of the whole company – i.e. including the liabilities – struck at the nominal value of the liabilities; and the equity market value thus depends on the volatility of the market value of the company assets. The idea applied is that, in general, equity may be viewed as a call option on the firm: since the principle of limited liability protects equity investors, shareholders would choose not to repay the firm's debt where the value of the firm is less than the value of the outstanding debt; where firm value is greater than debt value, the shareholders would choose to repay – i.e. exer ...
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Robert C
The name Robert is an ancient Germanic given name, from Proto-Germanic "fame" and "bright" (''Hrōþiberhtaz''). Compare Old Dutch ''Robrecht'' and Old High German ''Hrodebert'' (a compound of '' Hruod'' ( non, Hróðr) "fame, glory, honour, praise, renown" and ''berht'' "bright, light, shining"). It is the second most frequently used given name of ancient Germanic origin. It is also in use as a surname. Another commonly used form of the name is Rupert. After becoming widely used in Continental Europe it entered England in its Old French form ''Robert'', where an Old English cognate form (''Hrēodbēorht'', ''Hrodberht'', ''Hrēodbēorð'', ''Hrœdbœrð'', ''Hrœdberð'', ''Hrōðberχtŕ'') had existed before the Norman Conquest. The feminine version is Roberta. The Italian, Portuguese, and Spanish form is Roberto. Robert is also a common name in many Germanic languages, including English, German, Dutch, Norwegian, Swedish, Scots, Danish, and Icelandic. It can be use ...
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Probability Of Default
Probability of default (PD) is a financial term describing the likelihood of a default over a particular time horizon. It provides an estimate of the likelihood that a borrower will be unable to meet its debt obligations. PD is used in a variety of credit analyses and risk management frameworks. Under Basel II, it is a key parameter used in the calculation of economic capital or regulatory capital for a banking institution. PD is closely linked to the expected loss, which is defined as the product of the PD, the loss given default (LGD) and the exposure at default (EAD). Overview The probability of default is an estimate of the likelihood that the default event will occur. It applies to a particular assessment horizon, usually one year. Credit scores, such as FICO for consumers or bond ratings from S&P, Fitch or Moodys for corporations or governments, typically imply a certain probability of default. For group of obligors sharing similar credit risk characteristics such as ...
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Financial Risk Modeling
Financial risk modeling is the use of formal mathematical and econometric techniques to measure, monitor and control the market risk, credit risk, and operational risk on a firm's balance sheet, on a bank's trading book, or re a fund manager's portfolio value; see Financial risk management. Risk modeling is one of many subtasks within the broader area of financial modeling. Application Risk modeling uses a variety of techniques including market risk, value at risk (VaR), historical simulation (HS), or extreme value theory (EVT) in order to analyze a portfolio and make forecasts of the likely losses that would be incurred for a variety of risks. As above, such risks are typically grouped into credit risk, market risk, model risk, liquidity risk, and operational risk categories. Many large financial intermediary firms use risk modeling to help portfolio managers assess the amount of capital reserves to maintain, and to help guide their purchases and sales of various classes of f ...
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Probability Of Default
Probability of default (PD) is a financial term describing the likelihood of a default over a particular time horizon. It provides an estimate of the likelihood that a borrower will be unable to meet its debt obligations. PD is used in a variety of credit analyses and risk management frameworks. Under Basel II, it is a key parameter used in the calculation of economic capital or regulatory capital for a banking institution. PD is closely linked to the expected loss, which is defined as the product of the PD, the loss given default (LGD) and the exposure at default (EAD). Overview The probability of default is an estimate of the likelihood that the default event will occur. It applies to a particular assessment horizon, usually one year. Credit scores, such as FICO for consumers or bond ratings from S&P, Fitch or Moodys for corporations or governments, typically imply a certain probability of default. For group of obligors sharing similar credit risk characteristics such as ...
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Credit Risk
A credit risk is risk of default on a debt that may arise from a borrower failing to make required payments. In the first resort, the risk is that of the lender and includes lost principal and interest, disruption to cash flows, and increased collection costs. The loss may be complete or partial. In an efficient market, higher levels of credit risk will be associated with higher borrowing costs. Because of this, measures of borrowing costs such as yield spreads can be used to infer credit risk levels based on assessments by market participants. Losses can arise in a number of circumstances, for example: * A consumer may fail to make a payment due on a mortgage loan, credit card, line of credit, or other loan. * A company is unable to repay asset-secured fixed or floating charge debt. * A business or consumer does not pay a trade invoice when due. * A business does not pay an employee's earned wages when due. * A business or government bond issuer does not make a payment on ...
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Credit Derivatives
In finance, a credit derivative refers to any one of "various instruments and techniques designed to separate and then transfer the ''credit risk''"The Economist ''Passing on the risks'' 2 November 1996 or the risk of an event of default of a corporate or sovereign borrower, transferring it to an entity other than the lender or debtholder. An unfunded credit derivative is one where credit protection is bought and sold between bilateral counterparties without the protection seller having to put up money upfront or at any given time during the life of the deal unless an event of default occurs. Usually these contracts are traded pursuant to an International Swaps and Derivatives Association (ISDA) master agreement. Most credit derivatives of this sort are credit default swaps. If the credit derivative is entered into by a financial institution or a special purpose vehicle (SPV) and payments under the credit derivative are funded using securitization techniques, such that a debt ob ...
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Credit Default Swap
A credit default swap (CDS) is a financial swap agreement that the seller of the CDS will compensate the buyer in the event of a debt default (by the debtor) or other credit event. That is, the seller of the CDS insures the buyer against some reference asset defaulting. The buyer of the CDS makes a series of payments (the CDS "fee" or "spread") to the seller and, in exchange, may expect to receive a payoff if the asset defaults. In the event of default, the buyer of the credit default swap receives compensation (usually the face value of the loan), and the seller of the CDS takes possession of the defaulted loan or its market value in cash. However, anyone can purchase a CDS, even buyers who do not hold the loan instrument and who have no direct insurable interest in the loan (these are called "naked" CDSs). If there are more CDS contracts outstanding than bonds in existence, a protocol exists to hold a credit event auction. The payment received is often substantially less ...
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Debt Default
In finance, default is failure to meet the legal obligations (or conditions) of a loan, for example when a home buyer fails to make a mortgage payment, or when a corporation or government fails to pay a bond which has reached maturity. A national or sovereign default is the failure or refusal of a government to repay its national debt. The biggest private default in history is Lehman Brothers, with over $600 billion when it filed for bankruptcy in 2008. The biggest sovereign default is Greece, with $138 billion in March 2012. Distinction from insolvency, illiquidity and bankruptcy The term "default" should be distinguished from the terms "insolvency", illiquidity and "bankruptcy": * Default: Debtors have been passed behind the payment deadline on a debt whose payment was due. * Illiquidity: Debtors have insufficient cash (or other "liquefiable" assets) to pay debts. * Insolvency: A legal term meaning debtors are unable to pay their debts. * Bankruptcy: A legal finding that im ...
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Bankruptcy
Bankruptcy is a legal process through which people or other entities who cannot repay debts to creditors may seek relief from some or all of their debts. In most jurisdictions, bankruptcy is imposed by a court order, often initiated by the debtor. Bankrupt is not the only legal status that an insolvent person may have, and the term ''bankruptcy'' is therefore not a synonym for insolvency. Etymology The word ''bankruptcy'' is derived from Italian ''banca rotta'', literally meaning "broken bank". The term is often described as having originated in renaissance Italy, where there allegedly existed the tradition of smashing a banker's bench if he defaulted on payment so that the public could see that the banker, the owner of the bench, was no longer in a condition to continue his business, although some dismiss this as a false etymology. History In Ancient Greece, bankruptcy did not exist. If a man owed and he could not pay, he and his wife, children or servants were forced into " ...
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Credit Risk
A credit risk is risk of default on a debt that may arise from a borrower failing to make required payments. In the first resort, the risk is that of the lender and includes lost principal and interest, disruption to cash flows, and increased collection costs. The loss may be complete or partial. In an efficient market, higher levels of credit risk will be associated with higher borrowing costs. Because of this, measures of borrowing costs such as yield spreads can be used to infer credit risk levels based on assessments by market participants. Losses can arise in a number of circumstances, for example: * A consumer may fail to make a payment due on a mortgage loan, credit card, line of credit, or other loan. * A company is unable to repay asset-secured fixed or floating charge debt. * A business or consumer does not pay a trade invoice when due. * A business does not pay an employee's earned wages when due. * A business or government bond issuer does not make a payment on ...
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Jarrow–Turnbull Model
The Jarrow–Turnbull model is a widely used "reduced-form" credit risk model. It was published in 1995 by Robert A. Jarrow and Stuart Turnbull. Under the model, which returns the corporate's probability of default, bankruptcy is modeled as a statistical process. The model extends the reduced-form model of Merton (1976) to a random interest rates framework. Reduced-form models are an approach to credit risk modeling that contrasts sharply with "structural credit models", the best known of which is the Merton model of 1974. Reduced-form models focus on modeling the probability of default as a statistical process, whereas structural-models inhere a microeconomic model of the firm's capital structure, deriving the (single-period) probability of default from the random variation in the (unobservable) value of the firm's assets.Robert C. Merton “On the Pricing of Corporate Debt: The Risk Structure of Interest Rates,” ''Journal of Finance'' 29, 1974, pp. 449–470 Large fina ...
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