Mark to market
Encyclopedia
Mark-to-market or fair value accounting refers to accounting for the fair value
Fair value
Fair value, also called fair price , is a concept used in accounting and economics, defined as a rational and unbiased estimate of the potential market price of a good, service, or asset, taking into account such objective factors as:* acquisition/production/distribution costs, replacement costs,...

 of an asset or liability based on the current market price
Market price
In economics, market price is the economic price for which a good or service is offered in the marketplace. It is of interest mainly in the study of microeconomics...

 of the asset or liability, or for similar assets and liabilities, or based on another objectively assessed "fair" value. Fair value accounting has been a part of Generally Accepted Accounting Principles (GAAP) in the United States since the early 1990s, and has been used increasingly since then.

Mark-to-market accounting can change values on the balance sheet frequently, as market conditions change. In contrast, historical cost
Historical cost
In accounting, historical costs is the original monetary value of an economic item. Historical cost is based on the stable measuring unit assumption. In some circumstances, assets and liabilities may be shown at their historical cost, as if there had been no change in value since the date of...

 accounting, based on the past transactions, is simpler, more stable, and easier to perform, but does not reflect current fair value at all. It summarizes past transactions instead. Mark-to-market accounting can become inaccurate if market prices change unpredictably. Buyers and sellers may claim a number of specific instances when this is the case, including inability to both accurately and collectively value the future income and expenses, often due to unreliable information, over-optimistic, and over-pessimistic expectations.

History and development

The practice of mark to market as an accounting device first developed among traders on futures exchange
Futures exchange
A futures exchange or futures market is a central financial exchange where people can trade standardized futures contracts; that is, a contract to buy specific quantities of a commodity or financial instrument at a specified price with delivery set at a specified time in the future. These types of...

s in the 20th century. It was not until the 1980s that the practice spread to big banks and corporations far from the traditional exchange trading pits, and beginning in the 1990s, mark-to-market accounting began to give rise to scandals.

To understand the original practice, consider that a futures trader, when taking a position, deposits money with the exchange, called a "margin
Margin (finance)
In finance, a margin is collateral that the holder of a financial instrument has to deposit to cover some or all of the credit risk of their counterparty...

". This is intended to protect the exchange against loss. At the end of every trading day, the contract is marked to its present market value. If the trader is on the winning side of a deal, his contract has increased in value that day, and the exchange pays this profit into his account. On the other hand, if the market price of his contract has declined, the exchange charges his account that holds the deposited margin. If the balance of this accounts falls below the deposit required to maintain the position, the trader must immediately pay additional margin into the account to maintain his position (a "margin call
Margin Call
Margin Call is a 2011 American independent drama film, written and directed by J.C. Chandor. The film has an ensemble cast that includes Kevin Spacey, Demi Moore, Paul Bettany, Jeremy Irons, Zachary Quinto, Stanley Tucci, Simon Baker, and Penn Badgley...

"). As an example, the Chicago Mercantile Exchange
Chicago Mercantile Exchange
The Chicago Mercantile Exchange is an American financial and commodity derivative exchange based in Chicago. The CME was founded in 1898 as the Chicago Butter and Egg Board. Originally, the exchange was a non-profit organization...

, taking the process one step further, marks positions to market twice a day, at 10:00 am and 2:00 pm.

Over-the-counter (OTC) derivatives on the other hand are formula-based financial contracts between buyers and sellers, and are not traded on exchanges, so their market prices are not established by any active, regulated market trading. Market values are, therefore, not objectively determined or readily available (purchasers of derivative contracts are customarily furnished by computer programs which compute market values based upon data input from the active markets and the provided formulas). During their early development, OTC derivatives such as interest rate swap
Interest rate swap
An interest rate swap is a popular and highly liquid financial derivative instrument in which two parties agree to exchange interest rate cash flows, based on a specified notional amount from a fixed rate to a floating rate or from one floating rate to another...

s were not marked to market frequently. Deals were monitored on a quarterly or annual basis, when gains or losses would be acknowledged or payments exchanged.

As the practice of marking to market caught on in corporations and banks, some of them seem to have discovered that this was a tempting way to commit accounting fraud, especially when the market price could not be objectively determined (because there was no real day-to-day market available or the asset value was derived from other traded commodities, such as crude oil futures), so assets were being 'marked to model'
Mark to model
Mark-to-Model refers to the practice of pricing a position or portfolio at prices determined by financial models, in contrast to allowing the market to determine the price. Often the use of models is necessary where a market for the financial product is not available, such as withcomplex financial...

 in a hypothetical or synthetic manner using estimated valuations derived from financial modeling
Financial modeling
Financial modeling is the task of building an abstract representation of a financial decision making situation. This is a mathematical model designed to represent the performance of a financial asset or a portfolio, of a business, a project, or any other investment...

, and sometimes marked in a manipulative way to achieve spurious valuations. See Enron
Enron
Enron Corporation was an American energy, commodities, and services company based in Houston, Texas. Before its bankruptcy on December 2, 2001, Enron employed approximately 22,000 staff and was one of the world's leading electricity, natural gas, communications, and pulp and paper companies, with...

 and the Enron scandal
Enron scandal
The Enron scandal, revealed in October 2001, eventually led to the bankruptcy of the Enron Corporation, an American energy company based in Houston, Texas, and the dissolution of Arthur Andersen, which was one of the five largest audit and accountancy partnerships in the world...

.


Internal Revenue Code Section 475 contains the mark to market accounting method rule for taxation. Section 475 provides that qualified securities dealers that elect mark to market treatment shall recognize gain or loss as if the property were sold for its fair market value on the last business day of the year, and any gain or loss shall be taken into account in that year. The section also provides that dealers in commodities can elect mark to market treatment for any commodity (or their derivatives) which is actively traded (i.e., for which there is an established financial market that provides a reasonable basis to determine fair market value by disseminating price quotes from broker/dealers or actual prices from recent transactions).

FAS 115

Accounting for Certain Investment
Investment
Investment has different meanings in finance and economics. Finance investment is putting money into something with the expectation of gain, that upon thorough analysis, has a high degree of security for the principal amount, as well as security of return, within an expected period of time...

s in Debt and Equity
Equity (finance)
In accounting and finance, equity is the residual claim or interest of the most junior class of investors in assets, after all liabilities are paid. If liability exceeds assets, negative equity exists...

 Securities (Issued May 1993)

This statement addresses the accounting and reporting for investments in equity securities that have readily determinable fair value
Fair value
Fair value, also called fair price , is a concept used in accounting and economics, defined as a rational and unbiased estimate of the potential market price of a good, service, or asset, taking into account such objective factors as:* acquisition/production/distribution costs, replacement costs,...

s and for all investments in debt securities. Those investments are to be classified in three categories and accounted for as follows:
  • Debt securities that the enterprise has the positive intent and ability to hold to maturity are classified as "held-to-maturity" securities and reported at amortized cost less impairment.(amortization refers to spreading payments over multiple periods)

  • Debt and equity securities that are bought and held principally for the purpose of selling them in the near term are classified as "trading" securities and reported at fair value, with unrealized gains and losses included in earnings.

  • Debt and equity securities not classified as either held-to-maturity securities or trading securities are classified as "available-for-sale" securities and reported at fair value, with unrealized gains and losses excluded from earnings
    Earnings
    Earnings are the net benefits of a Corporation's operation. Earnings is also the amount on which corporate tax is due. For an analysis of specific aspects of corporate operations several more specific terms are used as EBIT -- earnings before interest and taxes, EBITDA - earnings before...

     and reported in a separate component of shareholders' equity (Other Comprehensive Income).

FAS 157

Statements of Financial Accounting Standards No. 157, Fair Value Measurements, commonly known as "FAS 157", is an accounting standard issued in September 2006 by the Financial Accounting Standards Board
Financial Accounting Standards Board
The Financial Accounting Standards Board is a private, not-for-profit organization whose primary purpose is to develop generally accepted accounting principles within the United States in the public's interest...

 (FASB) which became effective for entities with fiscal years beginning after November 15, 2007.

FAS Statement 157 includes the following:
  • Clarity on the definition of fair value;
  • A fair value hierarchy used to classify the source of information used in fair value measurements (i.e., market-based or non-market based);
  • Expanded disclosure requirements for assets and liabilities measured at fair value; and
  • A modification of the long-standing accounting presumption that a measurement date-specific transaction price of an asset or liability equals its same measurement date-specific fair value.
  • Clarification that changes in credit risk
    Credit risk
    Credit risk is an investor's risk of loss arising from a borrower who does not make payments as promised. Such an event is called a default. Other terms for credit risk are default risk and counterparty risk....

     (both that of the counterparty and the company's own credit rating) must be included in the valuation.


FAS 157 defines "fair value" as:
“The price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date.”

FAS 157 only applies when another accounting rule requires or permits a fair value measure for that item. While FAS 157 does not introduce any new requirements mandating the use of fair value, the definition as outlined does introduce certain key differences.

First, it is based on the exit price (for an asset, the price at which it would be sold (bid price)) rather than an entry price (for an asset, the price at which it would be bought (ask price)), regardless of whether the entity plans to hold the asset for investment or resell it later.

Second, FAS 157 emphasizes that fair value is market-based rather than entity-specific. Thus, the optimism that often characterizes an asset acquirer must be replaced with the skepticism that typically characterizes a dispassionate, risk-averse buyer.

FAS 157’s fair value hierarchy underpins the concepts of the standard. The hierarchy ranks the quality and reliability of information used to determine fair values, with level 1 inputs being the most reliable and level 3 inputs being the least reliable. Information based on direct observations of transactions (e.g., quoted prices) involving the same assets and liabilities, not assumptions, offers superior reliability; whereas, inputs based on unobservable data or a reporting entity’s own assumptions about the assumptions market participants would use are the least reliable. A typical example of the latter is shares of a privately held company whose value is based on projected cash flows.

Problems can arise when the market-based measurement does not accurately reflect the underlying asset's true value. This can occur when a company is forced to calculate the selling price of these assets or liabilities during unfavorable or volatile times, such as a financial crisis. For example, if the liquidity is low or investors are fearful, the current selling price of a bank's assets could be much lower than the value under normal liquidity conditions. The result would be a lowered shareholders' equity. This issue was seen during the financial crisis of 2008/09 where many securities held on banks' balance sheets could not be valued efficiently as the markets had disappeared from them. In April 2009, however, the Financial Accounting Standards Board (FASB) voted on and approved new guidelines that would allow for the valuation to be based on a price that would be received in an orderly market rather than a forced liquidation, starting in the first quarter of 2009.

Although FAS 157 does not require fair value to be used on any new classes of assets, it does apply to assets and liabilities that are carried at fair value in accordance with other applicable rules. The accounting rules for which assets and liabilities are held at fair value are complex. Mutual funds and securities firms have carried their assets and some liabilities at fair value for decades in accordance with securities regulations and other accounting guidance. For commercial banks and other types of financial services firms, some asset classes are required to be carried at fair value, such as derivatives and marketable equity securities. For other types of assets, such as loan receivables and debt securities, it depends on whether the assets are held for trading (active buying and selling) or for investment. All trading assets are carried at fair value. Loans and debt securities that are held for investment or to maturity are carried at amortized cost, unless they are deemed to be impaired (in which case, a loss is recognized). However, if they are available for sale or held for sale, they are required to be carried at fair value or the lower of cost or fair value, respectively. (FAS 65 and FAS 114 cover the accounting for loans, and FAS 115 covers the accounting for securities.) Notwithstanding the above, companies are permitted to account for almost any financial instrument at fair value, which they might elect to do in lieu of historical cost accounting (see FAS 159, "The Fair Value Option").

Thus, FAS 157 applies in the cases above where a company is required or elects to carry an asset or liability at fair value.

The rule requires a mark to "market," rather than to some theoretical price calculated by a computer — a system often criticized as “mark to make-believe.” (Occasionally, for certain types of assets, the rule allows for using a model)

Sometimes, there is a thin market for assets, which trade relatively infrequently - often during an economic crisis. In these periods, there are few, if any buyers for such products. This complicates the marking process. In the absence of market information, an entity is allowed to use its own assumptions, but the objective is still the same: what would be the current value in a sale to a willing buyer. In developing its own assumptions, the entity can not ignore any available market data, such as interest rates, default rates, prepayment speeds, etc.

FAS 157 makes no distinction between non cash-generating assets, i.e., broken equipment, which can theoretically have zero value if nobody will buy them in the market – and cash-generating assets, like securities, which are still worth something for as long as they earn some income from their underlying assets. The latter cannot be marked down indefinitely, or at some point, can create incentives for company insiders to buy them out from the company at the under-valued prices. Insiders are in the best position to determine the creditworthiness of such securities going forward. In theory, this price pressure should balance market prices to accurately reflect the "fair value" of a particular asset. Purchasers of distressed assets should step in to buy undervalued securities, thus moving prices higher, allowing other Companies to consequently mark up their similar holdings.

Also new in FAS 157 is the idea of nonperformance risk. FAS 157 requires that in valuing a liability, an entity should consider the nonperformance risk. If FAS 157 simply required that fair value be recorded as an exit price, then nonperformance risk would be extinguished upon exit. However, FAS 157 defines fair value as the price at which you would transfer a liability. In other words, the nonperformance that must be valued should incorporate the correct discount rate for an ongoing contract. An example would be to apply higher discount rate to the future cash flows to account for the credit risk above the stated interest rate. The Basis for Conclusions section has an extensive explanation of what was intended by the original statement with regards to nonperformance risk (paragraphs C40-C49).

In response to the rapid developments of the financial crisis of 2007–2008, the FASB is fast tracking the issuance of the proposed FAS 157-d, Determining the Fair Value of a Financial Asset in a Market That Is Not Active.

Simple example

Example: If an investor owns 10 shares of a stock purchased for $4 per share, and that stock now trades at $6, the "mark-to-market" value of the shares is equal to (10 shares * $6), or $60, whereas the book value
Book value
In accounting, book value or carrying value is the value of an asset according to its balance sheet account balance. For assets, the value is based on the original cost of the asset less any depreciation, amortization or Impairment costs made against the asset. Traditionally, a company's book value...

 might (depending on the accounting principles used) only equal $40.

Similarly, if the stock falls to $3, the mark-to-market value is $30 and the investor has lost $10 of the original investment. If the stock was purchased on margin, this might trigger a margin call and the investor would have to come up with an amount sufficient to meet the margin requirements for his account.

Marking-to-market a derivatives position

In marking-to-market a derivatives position, at pre-determined periodic intervals, each counterparty exchanges the change in the market value of their position in cash. For OTC derivatives, when one counterparty defaults, the sequence of events that follows is governed by an ISDA contract. When using models to calculate the ongoing exposure, FAS 157 requires that the entity consider the default risk ("nonperformance risk") of the counterparty and make a necessary adjustment to its calculations.

For exchange traded derivatives, if one of the counterparties defaults in this periodic exchange, that counterparty's position is immediately closed by the exchange and the clearing house
Clearing house (finance)
A clearing house is a financial institution that provides clearing and settlement services for financial and commodities derivatives and securities transactions...

 is substituted for that counterparty's position.
Marking-to-market virtually eliminates credit risk, but it requires the use of monitoring systems that usually only large institutions can afford.

Use by brokers

Stock brokers allow their clients to access credit via margin
Margin (finance)
In finance, a margin is collateral that the holder of a financial instrument has to deposit to cover some or all of the credit risk of their counterparty...

 accounts. These accounts allow clients to borrow funds to buy securities. Therefore, the amount of funds available is more than the value of cash (or equivalents). The credit is provided by charging a rate of interest, in a similar way as banks provide loans. Even though the value of securities (stocks or other financial instruments such as options
Option (finance)
In finance, an option is a derivative financial instrument that specifies a contract between two parties for a future transaction on an asset at a reference price. The buyer of the option gains the right, but not the obligation, to engage in that transaction, while the seller incurs the...

) fluctuates in the market, the value of accounts is not calculated in real time. Marking-to-market is performed typically at the end of the trading day, and if the account value falls below a given threshold, (typically a predefined ratio by the broker), the broker issues a margin call that requires the client to deposit more funds or liquidate his account.

Effect on subprime crisis and Emergency Economic Stabilization Act of 2008

Former Federal Deposit Insurance Corporation
Federal Deposit Insurance Corporation
The Federal Deposit Insurance Corporation is a United States government corporation created by the Glass–Steagall Act of 1933. It provides deposit insurance, which guarantees the safety of deposits in member banks, currently up to $250,000 per depositor per bank. , the FDIC insures deposits at...

 Chair William Isaac placed much of the blame for the subprime mortgage crisis
Subprime mortgage crisis
The U.S. subprime mortgage crisis was one of the first indicators of the late-2000s financial crisis, characterized by a rise in subprime mortgage delinquencies and foreclosures, and the resulting decline of securities backed by said mortgages....

  on the Securities and Exchange Commission and its fair-value accounting rules, especially the requirement for banks to mark their assets to market, particularly mortgage-backed securities. Whether or not this is true has been the subject of ongoing debate.

The debate arises because this accounting rule requires companies to adjust the value of marketable securities (such as the mortgage-backed securities (MBS) at the center of the crisis) to their market value. The intent of the standard is to help investors understand the value of these assets at a point in time, rather than just their historical purchase price. Because the market for these assets is distressed, it is difficult to sell many MBS at other than prices which may (or may not) be reflective of market stresses, which may be below the value that the mortgage cash flow related to the MBS would merit. As initially interpreted by companies and their auditors, the typically lower sale value was used as the market value rather than the cash flow value. Many large financial institutions recognized significant losses during 2007 and 2008 as a result of marking-down MBS asset prices to market value.

For some institutions, this also triggered a margin call
Margin Call
Margin Call is a 2011 American independent drama film, written and directed by J.C. Chandor. The film has an ensemble cast that includes Kevin Spacey, Demi Moore, Paul Bettany, Jeremy Irons, Zachary Quinto, Stanley Tucci, Simon Baker, and Penn Badgley...

, where lenders that had provided the funds using the MBS as collateral had contractual rights to get their money back. This resulted in further forced sales of MBS and emergency efforts to obtain cash (liquidity) to pay off the margin call. Markdowns may also reduce the value of bank regulatory capital, requiring additional capital raising and creating uncertainty regarding the health of the bank.

It is the combination of the extensive use of financial leverage (i.e., borrowing to invest, leaving limited room in the event of a downturn), margin calls and large reported losses that may have exacerbated the crisis. If cash flow-derived value — which excludes market judgment as to default risk but may also more accurately reflect 'actual' value if the market is sufficiently distressed — is used (rather than sale value), the size of market-value adjustments under the accounting standard would typically be reduced. One might question why banks or government-sponsored enterprise
Government-sponsored enterprise
A government-sponsored enterprise is a financial services corporation created by the United States Congress. Their function is to enhance the flow of credit to targeted sectors of the economy and to make those segments of the capital market more efficient and transparent...

s (Fannie Mae and Freddie Mac) are allowed to use high-risk, difficult-to-value assets like MBS or deferred tax assets as part of their regulatory capital base. Whether a margin call is involved is not part of the accounting standard itself; it is part of the contracts negotiated between lender and borrower.

Critics charge that claims that this had happened are akin to claiming "the problem, in short, is not that the banks acted irresponsibly in creating financial instruments that blew up, or in making loans that could never be repaid. It is that someone is forcing them to fess up. If only the banks could pretend the assets were valuable, then the system would be safe."

On September 30, 2008, the SEC and the FASB issued a joint clarification regarding the implementation of fair value accounting in cases where a market is disorderly or inactive. This guidance clarifies that forced liquidations are not indicative of fair value, as this is not an "orderly" transaction. Further, it clarifies that estimates of fair value can be made using the expected cash flows from such instruments, provided that the estimates reflect adjustments that a willing buyer would make, such as adjustments for default and liquidity risks.

Section 132 of the Emergency Economic Stabilization Act of 2008, titled "Authority to Suspend Mark-to-Market Accounting" restates the Securities and Exchange Commission’s authority to suspend the application of FAS 157 if the SEC determines that it is in the public interest and protects investors.

Section 133 of the Act, titled "Study on Mark-to-Market Accounting," requires the SEC, in consultation with the Federal Reserve Board and the Department of the Treasury
United States Department of the Treasury
The Department of the Treasury is an executive department and the treasury of the United States federal government. It was established by an Act of Congress in 1789 to manage government revenue...

, to conduct a study on mark-to-market accounting standards as provided in FAS 157, including its effects on balance sheets, impact on the quality of financial information, and other matters, and to report to Congress within 90 days on its findings.

The Emergency Economic Stabilization Act of 2008 was passed and signed into law on October 3, 2008. On October 7, 2008, the SEC began to conduct a study on "mark-to-market" accounting, as authorized by Sec. 133 of the Emergency Economic Stabilization Act of 2008.

On October 10, 2008, the FASB issued further guidance to provide an example of how to estimate fair value in cases where the market for that asset is not active at a reporting date.

On December 30, 2008, the SEC issued its report under Sec. 133 and decided not to suspend mark-to-market accounting.

On March 9, 2009, In remarks made in the Council on Foreign Relations in Washington, Federal Reserve Chairman Ben Bernanke
Ben Bernanke
Ben Shalom Bernanke is an American economist, and the current Chairman of the Federal Reserve, the central bank of the United States. During his tenure as Chairman, Bernanke has overseen the response of the Federal Reserve to late-2000s financial crisis....

 said, "We should review regulatory policies and accounting rules to ensure that they do not induce excessive (swings in the financial system and economy)". Although he doesn't support the full suspension of basic proposition of Mark to Market principles, he is open to improving it and provide "guidance" on reasonable ways to value assets to reduce their pro- cyclical effects.

On March 16, 2009, FASB proposed allowing companies to use more leeway in valuing their assets under "mark-to-market" accounting, a move that could ease balance-sheet pressures many companies say they are feeling during the economic crisis. On April 2, 2009, after a 15-day public comment period, FASB eased the mark-to-market rules. Financial institutions are still required by the rules to mark transactions to market prices but more so in a steady market and less so when the market is inactive. To proponents of the rules, this removes the unnecessary "positive feedback
Positive feedback
Positive feedback is a process in which the effects of a small disturbance on a system include an increase in the magnitude of the perturbation. That is, A produces more of B which in turn produces more of A. In contrast, a system that responds to a perturbation in a way that reduces its effect is...

 loop" that can result in a deeply weakened economy.

On April 9, 2009, FASB issued the official update to FAS 157 that eases the mark-to-market rules when the market is unsteady or inactive. Early adopters were allowed to apply the ruling as of March 15, 2009, and the rest as of June 15, 2009.
It was anticipated that these changes could significantly boost banks' statements of earnings and allow them to defer reporting losses. The changes, however, affected accounting standards applicable to a broad range of derivatives
Derivative (finance)
A derivative instrument is a contract between two parties that specifies conditions—in particular, dates and the resulting values of the underlying variables—under which payments, or payoffs, are to be made between the parties.Under U.S...

, not just banks holding mortgage-backed securities.

Opponents argue that the implications for investors are that the valuation of assets underlying such securities will be increasingly difficult to analyze, not less so. An example would be determining a company's actual assets, equity and earnings, which will be overstated if the assets are not allowed to be marked down appropriately.

In January 2010, Adair Turner, Chairman of the UK's Financial Services Authority
Financial Services Authority
The Financial Services Authority is a quasi-judicial body responsible for the regulation of the financial services industry in the United Kingdom. Its board is appointed by the Treasury and the organisation is structured as a company limited by guarantee and owned by the UK government. Its main...

, said that marking to market had been a cause of inflated bankers' bonuses
Bankers' bonuses
Bankers' bonuses are traditionally paid or awarded to some workers in the finance industry at the end of the bank's financial year. They are intended to reward employee behavior during that year that has increased the profits of the bank or some relevant part of its business , as shown by the annual...

. This is because it produces a self-reinforcing cycle during a rising market that feeds into banks' profit estimates.

See also

  • Deprival value
    Deprival value
    Deprival valueis a concept used in accounting theory to determine the appropriate measurement basis for assets. It is an alternative to historical cost and fair value or mark to market accounting. Some writers prefer terms such as 'value to the owner' or 'value to the firm'...

  • Enron Scandal
    Enron scandal
    The Enron scandal, revealed in October 2001, eventually led to the bankruptcy of the Enron Corporation, an American energy company based in Houston, Texas, and the dissolution of Arthur Andersen, which was one of the five largest audit and accountancy partnerships in the world...

  • Fair value
    Fair value
    Fair value, also called fair price , is a concept used in accounting and economics, defined as a rational and unbiased estimate of the potential market price of a good, service, or asset, taking into account such objective factors as:* acquisition/production/distribution costs, replacement costs,...

  • Historical cost accounting
  • List of accounting topics
  • List of finance topics
  • Mark to Model
    Mark to model
    Mark-to-Model refers to the practice of pricing a position or portfolio at prices determined by financial models, in contrast to allowing the market to determine the price. Often the use of models is necessary where a market for the financial product is not available, such as withcomplex financial...

  • Realization (finance)
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