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Tail Risk
Tail risk, sometimes called "fat tail risk", is the financial risk of an asset or portfolio of assets moving more than three standard deviations from its current price, above the risk of a normal distribution. Tail risks include low-probability events arising at both ends of a normal distribution curve, also known as tail events. However, as investors are generally more concerned with unexpected losses rather than gains, a debate about tail risk is focused on the left tail. Prudent asset managers are typically cautious with the tail involving losses which could damage or ruin portfolios, and not the beneficial tail of outsized gains. The common technique of theorizing a normal distribution of price changes underestimates tail risk when market data exhibit fat tails, thus understating asset prices, stock returns and subsequent risk management strategies. Tail risk is sometimes defined less strictly: as merely the risk (or probability) of rare events. The arbitrary definition of t ...
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Financial Risk
Financial risk is any of various types of risk associated with financing, including financial transactions that include company loans in risk of default. Often it is understood to include only downside risk, meaning the potential for financial loss and uncertainty about its extent. Modern portfolio theory initiated by Harry Markowitz in 1952 under his thesis titled "Portfolio Selection" is the discipline and study which pertains to managing market and financial risk. In modern portfolio theory, the variance (or standard deviation In statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its Expected value, mean. A low standard Deviation (statistics), deviation indicates that the values tend to be close to the mean ( ...) of a portfolio is used as the definition of risk. Types According to Bender and Panz (2021), financial risks can be sorted into five different categories. In their study, they apply an algorith ...
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Black Swan Events
The black swan theory or theory of black swan events is a metaphor that describes an event that comes as a surprise, has a major effect, and is often inappropriately rationalized after the fact with the benefit of hindsight. The term arose from a Latin expression which was based on the presumption that black swans did not exist. The expression was used in the original manner until around 1697 when Dutch mariners saw black swans living in Australia. After this, the term was reinterpreted to mean an unforeseen and consequential event. The reinterpreted theory was articulated by Nassim Nicholas Taleb, starting in 2001, to explain: # The disproportionate role of high-profile, hard-to-predict, and rare events that are beyond the realm of normal expectations in history, science, finance, and technology. # The non-computability of the probability of consequential rare events using scientific methods (owing to the very nature of small probabilities). # The psychological biases that blin ...
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Alpha (finance)
Alpha is a measure of the active return on an investment, the performance of that investment compared with a suitable market index. An alpha of 1% means the investment's return on investment over a selected period of time was 1% better than the market during that same period; a negative alpha means the investment underperformed the market. Alpha, along with beta, is one of two key coefficients in the capital asset pricing model used in modern portfolio theory and is closely related to other important quantities such as standard deviation, R-squared and the Sharpe ratio. In modern financial markets, where index funds are widely available for purchase, alpha is commonly used to judge the performance of mutual funds and similar investments. As these funds include various fees normally expressed in percent terms, the fund has to maintain an alpha greater than its fees in order to provide positive gains compared with an index fund. Historically, the vast majority of traditional fun ...
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Great Recession
The Great Recession was a period of market decline in economies around the world that occurred from late 2007 to mid-2009.“US Business Cycle Expansions and Contractions”
United States NBER, or National Bureau of Economic Research, updated March 14, 2023. This government agency dates the Great Recession as starting in December 2007 and bottoming-out in June 2009.
The scale and timing of the recession varied from country to country (see map). At the time, the International Monetary Fund (IMF) concluded that it was the most severe economic and financial meltdown since the Great Depression. The causes of the Great Recession include a combination of vulnerabilities that developed in the financial system ...
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2008 Financial Crisis
The 2008 financial crisis, also known as the global financial crisis (GFC), was a major worldwide financial crisis centered in the United States. The causes of the 2008 crisis included excessive speculation on housing values by both homeowners and financial institutions that led to the 2000s United States housing bubble, exacerbated by predatory lending for subprime mortgages and deficiencies in regulation. Cash out refinancings had fueled an increase in consumption that could no longer be sustained when home prices declined. The first phase of the crisis was the subprime mortgage crisis, which began in early 2007, as mortgage-backed securities (MBS) tied to U.S. real estate, and a vast web of Derivative (finance), derivatives linked to those MBS, collapsed in value. A liquidity crisis spread to global institutions by mid-2007 and climaxed with the bankruptcy of Lehman Brothers in September 2008, which triggered a stock market crash and bank runs in several countries. The crisis ...
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Value At Risk
Value at risk (VaR) is a measure of the risk of loss of investment/capital. It estimates how much a set of investments might lose (with a given probability), given normal market conditions, in a set time period such as a day. VaR is typically used by firms and regulators in the financial industry to gauge the amount of assets needed to cover possible losses. For a given portfolio, time horizon, and probability ''p'', the ''p'' VaR can be defined informally as the maximum possible loss during that time after excluding all worse outcomes whose combined probability is at most ''p''. This assumes mark-to-market pricing, and no trading in the portfolio. For example, if a portfolio of stocks has a one-day 5% VaR of $1 million, that means that there is a 0.05 probability that the portfolio will fall in value by $1 million or more over a one-day period if there is no trading. Informally, a loss of $1 million or more on this portfolio is expected on 1 day out of 20 days (because of 5% p ...
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Conditional Value-at-Risk
Expected shortfall (ES) is a risk measure—a concept used in the field of financial risk measurement to evaluate the market risk or credit risk of a portfolio. The "expected shortfall at q% level" is the expected return on the portfolio in the worst q\% of cases. ES is an alternative to value at risk that is more sensitive to the shape of the tail of the loss distribution. Expected shortfall is also called conditional value at risk (CVaR), average value at risk (AVaR), expected tail loss (ETL), and superquantile. ES estimates the risk of an investment in a conservative way, focusing on the less profitable outcomes. For high values of q it ignores the most profitable but unlikely possibilities, while for small values of q it focuses on the worst losses. On the other hand, unlike the discounted maximum loss, even for lower values of q the expected shortfall does not consider only the single most catastrophic outcome. A value of q often used in practice is 5%. Expected shortfall ...
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Bankruptcy Of Lehman Brothers
The bankruptcy of Lehman Brothers, also known as the Crash of '08 and the Lehman Shock, on September 15, 2008, was the climax of the subprime mortgage crisis. After the financial services firm was notified of a pending credit downgrade due to its heavy position in subprime mortgages, the Federal Reserve summoned several banks to negotiate financing for its reorganization. These discussions failed, and Lehman filed a Chapter 11 petition that remains the Chapter 11, Title 11, United States Code#Largest cases, largest bankruptcy filing in U.S. history, involving more than in assets. The bankruptcy triggered a 4.5% one-day drop in the Dow Jones Industrial Average, then the largest decline since the September 11 attacks#Economic, attacks of September 11, 2001. It shook confidence in the government's ability to manage the crisis and prompted a general financial panic. Money market mutual funds, a key source of credit, saw mass withdrawal demands to avoid losses, and the interbank len ...
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Subprime Mortgage Crisis
The American subprime mortgage crisis was a multinational financial crisis that occurred between 2007 and 2010, contributing to the 2008 financial crisis. It led to a severe economic recession, with millions becoming unemployed and many businesses going bankrupt. The U.S. government intervened with a series of measures to stabilize the financial system, including the Troubled Asset Relief Program (TARP) and the American Recovery and Reinvestment Act (ARRA). The collapse of the United States housing bubble and high interest rates led to unprecedented numbers of borrowers missing mortgage repayments and becoming delinquent. This ultimately led to mass foreclosures and the devaluation of housing-related securities. The housing bubble preceding the crisis was financed with mortgage-backed securities (MBSes) and collateralized debt obligations (CDOs), which initially offered higher interest rates (i.e. better returns) than government securities, along with attractive risk ratin ...
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Dot-com Bubble
The dot-com bubble (or dot-com boom) was a stock market bubble that ballooned during the late-1990s and peaked on Friday, March 10, 2000. This period of market growth coincided with the widespread adoption of the World Wide Web and the Internet, resulting in a dispensation of available venture capital and the rapid growth of valuations in new dot-com Startup company, startups. Between 1995 and its peak in March 2000, investments in the NASDAQ composite stock market index rose by 80%, only to fall 78% from its peak by October 2002, giving up all its gains during the bubble. During the dot-com crash, many online shopping companies, notably Pets.com, Webvan, and Boo.com, as well as several communication companies, such as Worldcom, NorthPoint Communications, and Global Crossing, failed and shut down. Others, like Lastminute.com, MP3.com and PeopleSound were bought out. Larger companies like Amazon (company), Amazon and Cisco Systems lost large portions of their market capitalizati ...
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Long-Term Capital Management
Long-Term Capital Management L.P. (LTCM) was a highly leveraged hedge fund. In 1998, it received a $3.6 billion bailout from a group of 14 banks, in a deal brokered and put together by the Federal Reserve Bank of New York. LTCM was founded in 1994 by John Meriwether, the former vice-chairman and head of bond trading at Salomon Brothers. Members of LTCM's board of directors included Myron Scholes and Robert C. Merton, who three years later in 1997 shared the Nobel Prize in Economics for having developed the Black–Scholes model of financial dynamics.''A financial History of the United States Volume II: 1970–2001'', Jerry W. Markham, Chapter 5: "Bank Consolidation", M. E. Sharpe, Inc., 2002 LTCM was initially successful, with annualized returns (after fees) of around 21% in its first year, 43% in its second year and 41% in its third year. However, in 1998 it lost $4.6 billion in less than four months due to a combination of high leverage and exposure to the 1997 Asian fin ...
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1998 Russian Financial Crisis
The Russian financial crisis (also called the ruble crisis or the Russian flu) began in Russia on 17 August 1998. It resulted in the Russian government and the Russian Central Bank devaluing the Russian rouble, ruble and sovereign default, defaulting on its debt. The crisis had severe impacts on the economies of many neighboring countries. Background and course of events The Russian economy had set up a path for improvement after the Soviet Union had split into different countries. Russia was supposed to provide assistance to the former Soviet states and, as a result, imported heavily from them. In Russia, foreign loans financed domestic investments. When it was unable to pay back those foreign borrowings, the ruble devalued. In mid-1997, Russia had finally found a way out of inflation. The economic supervisors were happy about inflation coming to a standstill. Then the crisis hit, and supervisors had to implement a new policy. Both Russia and the countries that exported to i ...
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