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Quantitative Analysis
see also: due diligence
          
       

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  1. Definition
  2. Examples, Types, or Variations
  3. Formula
  4. Related Terms
  5. As Used in the Hedge Fund World
  6. Applications
  7. Misused & Abused
  8. Additional Sources of Information
    1. Books
    2. News
    3. Scholarly Papers
       
 

1.
 

Definition
 
 

A quantitative analyst is a person who works in the financial markets developing and implementing mathematical models to assist the activities of traders and risk managers within investment banks, hedge funds and other financial institutions. Throughout the industry, such professionals are known as quants.

The disciplines of finance, mathematics, statistics and computer science are now linked. A corporation whose risk management policy compels it to lock in a foreign exchange rate must deal with a foreign currency derivatives trader. The trader bases his pricing and hedging decisions on the behavior of a Brownian motion, determined by statistical estimation of parameters and simulated under probabilities that differ from those of the real world, a simulation justified by the profound mathematical and financial dual ideas of change-of-measure and risk-neutral pricing.

Although the original "quants" were concerned with risk management and derivatives pricing, the meaning of the term has expanded over time to include those individuals involved in almost any application of mathematics in finance. An example is statistical arbitrage.

Other Resources:

  • American Century Investments: Securities analysis that looks at a corporation's financial data and projections. More…
     
  • Oasis Management: Is the practice of using numerical techniques in researching securities, markets, strategies and structures. More…
     
  • Capital Performance Partners: Quantitative analysis is a form of analysis, which uses numbers, and ratios derived from a company's financials to assess its prospects. More…
     
  • Finance Encyclopedia: An assessment of specific measurable securities or investment factors, such as cost of capital, value of assets; and projections of sales, costs, earnings, and profits. More…
     

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2.
 

Examples, Types, or Variations
 
  Quantitative analysis with respect to trading equities generally includes the following research topics:
  • Annual Reports
  • Financial Statements (Earnings, Revenues, Etc.)
  • Publicly Available Data
  • General Economic Data
  • General Econometric Data

Quantitative analysis with respect to funds involves evaluating statistical analysis of the trading manager’s track record. These include:

  • Return Analysis
    • Compounded average rate of return
    • Percentage of positive months
    • Consistency
    • Length of Track Record
  • Risk Analysis
    • Volatility Measures
      • Standard Deviation
        • Monthly Standard Deviation
        • Annual Standard Deviation
        • Combined upside and downside standard deviation
        • Downside Deviation only
          • Sortino Ratio
    • Drawdowns
      • Maximum Drawdown
      • Depth of Drawdowns
      • Frequency of Drawdowns
      • Time in any given Drawdown
      • Recovery from a Drawdown
  • Reward to Risk
    • Average Return Divided by Maximum Drawdown
    • (Total Return Minus Risk Free Rate of Return)/(The Total of All Drawdowns)
    • (Average Return)/(Maximum Drawdown)
    • Sharpe Ratio: (Average Rate of Return Minus Risk Free Rate of Return)/(Annual Standard Deviation)
  • Reward to Assets Under Management
    • Evaluating all of the above measures as a manager increases assets under management
    • The average rate of return since the manager first had 50% of their current assets under management.

 

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3.
 

Formula
 
 

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4.
 

Related Terms
 
 

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5.
 

As Used in the Hedge Fund World
 
  Quantitative finance started in the U.S. in the 1930s as some astute investors began using mathematical formulas to price stocks and bonds.

Harry Markowitz's 1952 Ph.D. thesis "Portfolio Selection" was one of the first papers to formally adapt mathematical concepts to finance. Markowitz formalized a notion of mean return and covariances for common stocks which allowed him to quantify the concept of "diversification" in a market. He showed how to compute the mean return and variance for a given portfolio and argued that investors should hold only those portfolios whose variance is minimal among all portfolios with a given mean return. Although the language of finance now involves Ito calculus, minimization of risk in a quantifiable manner underlies much of the modern theory.

In 1969 Robert Merton introduced stochastic calculus into the study of finance. Merton was motivated by the desire to understand how prices are set in financial markets, which is the classical economics question of "equilibrium," and in later papers he used the machinery of stochastic calculus to begin investigation of this issue.

At the same time as Merton's work and with Merton's assistance, Fischer Black and Myron Scholes were developing their option pricing formula, which led to winning the 1997 Nobel Prize in Economics. It provided a solution for a practical problem, that of finding a fair price for a European call option, i.e., the right to buy one share of a given stock at a specified price and time. Such options are frequently purchased by investors as a risk-hedging device. In 1981, Harrison and Pliska used the general theory of continuous-time stochastic processes to put the Black-Scholes option pricing formula on a solid theoretical basis, and as a result, showed how to price numerous other "derivative" securities.



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6.
 

Applications
 
 



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7.
 

Misused & Abused
 
 



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8.
 

Additional Sources of Information
 
 
  1. Books
  2. News
  3. Scholarly Papers

 

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Any indices and other financial benchmarks shown are provided for illustrative purposes only, are unmanaged, reflect reinvestment of income and dividends and do not reflect the impact of advisory fees. Investors cannot invest directly in an index. Comparisons to indexes have limitations because indexes have volatility and other material characteristics that may differ from a particular hedge fund. For example, a hedge fund may typically hold substantially fewer securities than are contained in an index. Indices also may contain securities or types of securities that are not comparable to those traded by a hedge fund. Therefore, a hedge fund’s performance may differ substantially from the performance of an index. Because of these differences, indexes should not be relied upon as an accurate measure of comparison.




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