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Tail Risk Parity
Tail risk parity is an extension of the risk parity concept that takes into account the behavior of the Portfolio (finance), portfolio components during tail risk events. The goal of the tail risk parity approach is to protect investment portfolios at the times of Financial crisis, economic crises and reduce the cost of such protection during normal market conditions. In the tail risk parity framework risk is defined as Expected shortfall, expected tail loss. The tail risk parity concept is similar to drawdown parity Traditional portfolio diversification relies on the correlations among assets and among asset classes, but these correlations are not constant. Because correlations among assets and asset classes increase during tail risk events and can go to 100%, TRP divides asset classes into buckets that behave differently under market stress conditions, while assets in each bucket behave similarly. During tail risk events asset prices can fall significantly creating deep portfolio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Risk Parity
Risk parity (or risk premia parity) is an approach to investment management which focuses on allocation of risk, usually defined as volatility, rather than allocation of capital. The risk parity approach asserts that when asset allocations are adjusted (leveraged or deleveraged) to the same risk level, the risk parity portfolio can achieve a higher Sharpe ratio and can be more resistant to market downturns than the traditional portfolio. Risk parity is vulnerable to significant shifts in correlation regimes, such as observed in Q1 2020, which led to the significant underperformance of risk-parity funds in the COVID-19 sell-off. Roughly speaking, the approach of building a risk parity portfolio is similar to creating a minimum-variance portfolio subject to the constraint that each asset (or asset class, such as bonds, stocks, real estate, etc.) contributes equally to the portfolio overall volatility. Some of its theoretical components were developed in the 1950s and 1960s but the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Skewness
In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined. For a unimodal distribution (a distribution with a single peak), negative skew commonly indicates that the ''tail'' is on the left side of the distribution, and positive skew indicates that the tail is on the right. In cases where one tail is long but the other tail is fat, skewness does not obey a simple rule. For example, a zero value in skewness means that the tails on both sides of the mean balance out overall; this is the case for a symmetric distribution but can also be true for an asymmetric distribution where one tail is long and thin, and the other is short but fat. Thus, the judgement on the symmetry of a given distribution by using only its skewness is risky; the distribution shape must be taken into account. Introduction Consider the two d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Financial Markets
A financial market is a market in which people trade financial securities and derivatives at low transaction costs. Some of the securities include stocks and bonds, raw materials and precious metals, which are known in the financial markets as commodities. The term "market" is sometimes used for what are more strictly ''exchanges'', that is, organizations that facilitate the trade in financial securities, e.g., a stock exchange or commodity exchange. This may be a physical location (such as the New York Stock Exchange (NYSE), London Stock Exchange (LSE), Bombay Stock Exchange (BSE) or Johannesburg Stock Exchange (JSE Limited)) or an electronic system such as NASDAQ. Much trading of stocks takes place on an exchange; still, corporate actions (mergers, spinoffs) are outside an exchange, while any two companies or people, for whatever reason, may agree to sell the stock from the one to the other without using an exchange. Trading of currencies and bonds is largely on a bi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Black Swan Theory
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 bl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Holy Grail Distribution
In economics and finance, a holy grail distribution is a probability distribution with positive mean and right fat tail — a returns profile of a hypothetical investment vehicle that produces small returns centered on zero and occasionally exhibits outsized positive returns. The distribution of historical returns of most asset classes and investment managers is negatively skewed and exhibits fat left tail (abnormal negative returns). Asset classes tend to have strong negative returns when stock market crises take place. For example, in October 2008 stocks, most hedge funds, real estate and corporate bonds suffered strong downward price corrections. At the same time vehicles following the Holy Grail distribution such as the US dollar (as a DXY index), treasury bonds and certain hedge fund strategies that bought credit default swaps (CDS) and other derivative instruments had strong positive returns. Market forces that pushed the first category of assets down pulled the latter ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Risk Parity
Risk parity (or risk premia parity) is an approach to investment management which focuses on allocation of risk, usually defined as volatility, rather than allocation of capital. The risk parity approach asserts that when asset allocations are adjusted (leveraged or deleveraged) to the same risk level, the risk parity portfolio can achieve a higher Sharpe ratio and can be more resistant to market downturns than the traditional portfolio. Risk parity is vulnerable to significant shifts in correlation regimes, such as observed in Q1 2020, which led to the significant underperformance of risk-parity funds in the COVID-19 sell-off. Roughly speaking, the approach of building a risk parity portfolio is similar to creating a minimum-variance portfolio subject to the constraint that each asset (or asset class, such as bonds, stocks, real estate, etc.) contributes equally to the portfolio overall volatility. Some of its theoretical components were developed in the 1950s and 1960s but the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hedge Fund
A hedge fund is a Pooling (resource management), pooled investment fund that holds Market liquidity, liquid assets and that makes use of complex trader (finance), trading and risk management techniques to aim to improve investment performance and insulate returns from beta (finance), market risk. Among these portfolio (finance), portfolio techniques are short (finance), short selling and the use of leverage (finance), leverage and derivative (finance), derivative instruments. In the United States, financial regulations require that hedge funds be marketed only to institutional investors and high-net-worth individuals. Hedge funds are considered alternative investments. Their ability to use leverage and more complex investment techniques distinguishes them from regulated investment funds available to the retail market, commonly known as mutual funds and Exchange-traded fund, ETFs. They are also considered distinct from private-equity fund, private equity funds and other similar cl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kurtosis
In probability theory and statistics, kurtosis (from , ''kyrtos'' or ''kurtos'', meaning "curved, arching") refers to the degree of “tailedness” in the probability distribution of a real-valued random variable. Similar to skewness, kurtosis provides insight into specific characteristics of a distribution. Various methods exist for quantifying kurtosis in theoretical distributions, and corresponding techniques allow estimation based on sample data from a population. It’s important to note that different measures of kurtosis can yield varying interpretations. The standard measure of a distribution's kurtosis, originating with Karl Pearson, is a scaled version of the fourth moment of the distribution. This number is related to the tails of the distribution, not its peak; hence, the sometimes-seen characterization of kurtosis as " peakedness" is incorrect. For this measure, higher kurtosis corresponds to greater extremity of deviations (or outliers), and not the configur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diversification (finance)
In finance, diversification is the process of allocating capital in a way that reduces the exposure to any one particular asset or risk. A common path towards diversification is to reduce financial risk, risk or volatility (finance), volatility by investment, investing in a variety of assets. If asset prices do not change in perfect synchrony, a diversified Portfolio (finance), portfolio will have less variance than the weighted mean, weighted average variance of its constituent assets, and often less volatility than the least volatile of its constituents. Diversification is one of two general techniques for reducing investment risk. The other is hedge (finance), hedging. Examples The simplest example of diversification is provided by the proverb "Don't put all your eggs in one basket". Dropping the basket will break all the eggs. Placing each egg in a different basket is more diversified. There is more risk of losing one egg, but less risk of losing all of them. On the other h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Portfolio (finance)
In finance, a portfolio is a collection of investments. Definition The term "portfolio" refers to any combination of financial assets such as stocks, bonds and cash. Portfolios may be held by individual investors or managed by financial professionals, hedge funds, banks and other financial institutions. It is a generally accepted principle that a portfolio is designed according to the investor's risk tolerance, time frame and investment objectives. The monetary value of each asset may influence the risk/reward ratio of the portfolio. When determining asset allocation, the aim is to maximise the expected return and minimise the risk. This is an example of a multi-objective optimization problem: many efficient solutions are available and the preferred solution must be selected by considering a tradeoff between risk and return. In particular, a portfolio A is dominated by another portfolio A' if A' has a greater expected gain and a lesser risk than A. If no portfolio dominates A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Drawdown (economics)
The drawdown is the measure of the decline from a historical peak in some variable (typically the cumulative profit or total open equity of a financial trading strategy). Somewhat more formally, if X(t), \; t \ge 0 is a stochastic process with X(0) = 0, the drawdown at time T, denoted D(T), is defined as: D(T) = \max_X(t)-X(T) The average drawdown (AvDD) up to time T is the time average of drawdowns that have occurred up to time T:\operatorname(T) = \int_0^T D(t) \, dtThe maximum drawdown (MDD) up to time T is the maximum of the drawdown over the history of the variable. More formally, the MDD is defined as: \operatorname(T)=\max_D(\tau)=\max_\left max_ X(t)- X(\tau) \right/math> Pseudocode The following pseudocode computes the Drawdown ("DD") and Max Drawdown ("MDD") of the variable "NAV", the Net Asset Value of an investment. Drawdown and Max Drawdown are calculated as percentages: MDD = 0 peak = -99999 for i = 1 to N step 1 do # peak will be the maximum value seen so fa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
