Harry Markowitz
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Harry Max Markowitz (born August 24, 1927) is an American economist who received the 1989
John von Neumann Theory Prize The John von Neumann Theory Prize of the Institute for Operations Research and the Management Sciences (INFORMS) is awarded annually to an individual (or sometimes a group) who has made fundamental and sustained contributions to theory in operat ...
and the 1990
Nobel Memorial Prize in Economic Sciences The Nobel Memorial Prize in Economic Sciences, officially the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel ( sv, Sveriges riksbanks pris i ekonomisk vetenskap till Alfred Nobels minne), is an economics award administered ...
. Markowitz is a professor of finance at the
Rady School of Management The Rady School of Management is the graduate business school of the University of California, San Diego, United States. It was established in 2001. It offers full-time and part-time Master of Business Administration (MBA) programs, a full-ti ...
at the
University of California, San Diego The University of California, San Diego (UC San Diego or colloquially, UCSD) is a public land-grant research university in San Diego, California. Established in 1960 near the pre-existing Scripps Institution of Oceanography, UC San Diego is t ...
(UCSD). He is best known for his pioneering work in
modern portfolio theory Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk. It is a formalization and extension of diversificati ...
, studying the effects of asset
risk In simple terms, risk is the possibility of something bad happening. Risk involves uncertainty about the effects/implications of an activity with respect to something that humans value (such as health, well-being, wealth, property or the environm ...
,
return Return may refer to: In business, economics, and finance * Return on investment (ROI), the financial gain after an expense. * Rate of return, the financial term for the profit or loss derived from an investment * Tax return, a blank document or t ...
, correlation and
diversification Diversification may refer to: Biology and agriculture * Genetic divergence, emergence of subpopulations that have accumulated independent genetic changes * Agricultural diversification involves the re-allocation of some of a farm's resources to ...
on probable investment portfolio returns.


Biography

Harry Markowitz was born to a
Jewish Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The ...
family, the son of Morris and Mildred Markowitz.Harry M. Markowitz 
Autobiography
The Nobel Prizes 1990, Editor Tore Frängsmyr, obel Foundation Stockholm, 1991
During high school, Markowitz developed an interest in physics and philosophy, in particular the ideas of
David Hume David Hume (; born David Home; 7 May 1711 NS (26 April 1711 OS) – 25 August 1776) Cranston, Maurice, and Thomas Edmund Jessop. 2020 999br>David Hume" ''Encyclopædia Britannica''. Retrieved 18 May 2020. was a Scottish Enlightenment phil ...
, an interest he continued to follow during his undergraduate years at the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private university, private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park, Chicago, Hyde Park neighborhood. The University of Chic ...
. After receiving his Ph.B. in Liberal Arts, Markowitz decided to continue his studies at the University of Chicago, choosing to specialize in economics. There he had the opportunity to study under important economists, including
Milton Friedman Milton Friedman (; July 31, 1912 – November 16, 2006) was an American economist and statistician who received the 1976 Nobel Memorial Prize in Economic Sciences for his research on consumption analysis, monetary history and theory and the ...
,
Tjalling Koopmans Tjalling Charles Koopmans (August 28, 1910 – February 26, 1985) was a Dutch-American mathematician and economist. He was the joint winner with Leonid Kantorovich of the 1975 Nobel Memorial Prize in Economic Sciences for his work on the theory ...
,
Jacob Marschak Jacob Marschak (23 July 1898 – 27 July 1977) was an American economist. Life Born in a Jewish family of Kyiv, Jacob Marschak (until 1933 Jakob) was the son of a jeweler. During his studies he joined the social democratic Menshevik Party, ...
and
Leonard Savage Leonard Jimmie Savage (born Leonard Ogashevitz; 20 November 1917 – 1 November 1971) was an American mathematician and statistician. Economist Milton Friedman said Savage was "one of the few people I have met whom I would unhesitatingly call a g ...
. While still a student, he was invited to become a member of the
Cowles Commission for Research in Economics The Cowles Foundation for Research in Economics is an economic research institute at Yale University. It was created as the Cowles Commission for Research in Economics at Colorado Springs in 1932 by businessman and economist Alfred Cowles. In 193 ...
, which was in Chicago at the time. He completed his A.M. in Economics from the university in 1950. Markowitz chose to apply mathematics to the analysis of the stock market as the topic for his dissertation. Jacob Marschak, who was the thesis advisor, encouraged him to pursue the topic, noting that it had also been a favorite interest of
Alfred Cowles Alfred Cowles III (September 15, 1891 – December 28, 1984) was an American economist, businessman and founder of the Cowles Commission. He graduated from Yale in 1913, where he was a member of Skull and Bones. He was the grandson of Alfred ...
, the founder of the Cowles Commission. While researching the then current understanding of stock prices, which at the time consisted in the
present value In economics and finance, present value (PV), also known as present discounted value, is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has inte ...
model of
John Burr Williams John Burr Williams (November 27, 1900 – September 15, 1989) was an American economist, recognized as an important figure in the field of fundamental analysis, and for his analysis of stock prices as reflecting their " intrinsic value". He is ...
, Markowitz realized that the theory lacks an analysis of the impact of risk. This insight led to the development of his seminal theory of
portfolio Portfolio may refer to: Objects * Portfolio (briefcase), a type of briefcase Collections * Portfolio (finance), a collection of assets held by an institution or a private individual * Artist's portfolio, a sample of an artist's work or a c ...
allocation under uncertainty, published in 1952 by ''the
Journal of Finance ''The Journal of Finance'' is a peer-reviewed academic journal published by Wiley-Blackwell on behalf of the American Finance Association. It was established in 1946 and is considered to be one of the premier finance journals. The editor-in-chief i ...
''. In 1952, Harry Markowitz went to work for the RAND Corporation, where he met
George Dantzig George Bernard Dantzig (; November 8, 1914 – May 13, 2005) was an American mathematical scientist who made contributions to industrial engineering, operations research, computer science, economics, and statistics. Dantzig is known for his ...
. With Dantzig's help, Markowitz continued to research
optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...
techniques, further developing the critical line algorithm for the identification of the optimal mean-variance portfolios, relying on what was later named the
Markowitz frontier Markowitz may refer to: People * Deborah Markowitz, Vermont secretary of state * Gerald Markowitz, American historian * Harry Markowitz, a financial economist and Nobel Laureate * John Markowitz, professor of psychiatry at Weill Cornell Medical ...
. In 1954, he received a PhD in Economics from the University of Chicago with a thesis on the portfolio theory. The topic was so novel that, while Markowitz was defending his dissertation, Milton Friedman argued his contribution was not economics.Harry M. Markowitz 
Nobel Prize Lecture: Foundations of Portfolio Theory
December 7, 1990
PDF format
During 1955–1956 Markowitz spent a year at the Cowles Foundation, which had moved to
Yale University Yale University is a Private university, private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the List of Colonial Colleges, third-oldest institution of higher education in the United Sta ...
, at the invitation of
James Tobin James Tobin (March 5, 1918 – March 11, 2002) was an American economist who served on the Council of Economic Advisers and consulted with the Board of Governors of the Federal Reserve System, and taught at Harvard and Yale Universities. He d ...
. He published the critical line algorithm in a 1956 paper and used this time at the foundation to write a book on portfolio allocation which was published in 1959. (reprinted by Yale University Press, 1970, ; 2nd ed. Basil Blackwell, 1991, ) Markowitz won the
Nobel Memorial Prize in Economic Sciences The Nobel Memorial Prize in Economic Sciences, officially the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel ( sv, Sveriges riksbanks pris i ekonomisk vetenskap till Alfred Nobels minne), is an economics award administered ...
in 1990 while a professor of finance at
Baruch College Baruch College (officially the Bernard M. Baruch College) is a public college in New York City. It is a constituent college of the City University of New York system. Named for financier and statesman Bernard M. Baruch, the college operates unde ...
of the City University of New York. In the preceding year, he received the John von Neumann Theory Prize from the
Operations Research Society of America The Institute for Operations Research and the Management Sciences (INFORMS) is an international society for practitioners in the fields of operations research (O.R.), management science, and analytics. It was established in 1995 with the merger o ...
(now
Institute for Operations Research and the Management Sciences The Institute for Operations Research and the Management Sciences (INFORMS) is an international society for practitioners in the fields of operations research (O.R.), management science, and analytics. It was established in 1995 with the merger o ...
,
INFORMS The Institute for Operations Research and the Management Sciences (INFORMS) is an international society for practitioners in the fields of operations research (O.R.), management science, and analytics. It was established in 1995 with the merger o ...
) for his contributions in the theory of three fields: portfolio theory; sparse matrix methods; and simulation language programming (
SIMSCRIPT SIMSCRIPT is a free-form, English-like general-purpose simulation language conceived by Harry Markowitz and Bernard Hausner at the RAND Corporation in 1962. It was implemented as a Fortran preprocessor on the IBM 7090 and was designed for large ...
). Sparse matrix methods are now widely used to solve very large systems of simultaneous equations whose coefficients are mostly zero. SIMSCRIPT has been widely used to program computer simulations of manufacturing, transportation, and computer systems as well as war games. SIMSCRIPT (I) included the
Buddy memory allocation The buddy memory allocation technique is a memory allocation algorithm that divides memory into partitions to try to satisfy a memory request as suitably as possible. This system makes use of splitting memory into halves to try to give a best fit. ...
method, which was also developed by Markowitz. He was elected to the 2002 class of
Fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...
s of the
Institute for Operations Research and the Management Sciences The Institute for Operations Research and the Management Sciences (INFORMS) is an international society for practitioners in the fields of operations research (O.R.), management science, and analytics. It was established in 1995 with the merger o ...
.


CACI

The company that would become CACI International was founded by Herb Karr and Harry Markowitz on July 17, 1962 as California Analysis Center, Inc. They helped develop
SIMSCRIPT SIMSCRIPT is a free-form, English-like general-purpose simulation language conceived by Harry Markowitz and Bernard Hausner at the RAND Corporation in 1962. It was implemented as a Fortran preprocessor on the IBM 7090 and was designed for large ...
, the first simulation programming language, at RAND and after it was released to the public domain, CACI was founded to provide support and training for SIMSCRIPT. In 1968, Markowitz joined Arbitrage Management company founded by Michael Goodkin. Working with
Paul Samuelson Paul Anthony Samuelson (May 15, 1915 – December 13, 2009) was an American economist who was the first American to win the Nobel Memorial Prize in Economic Sciences. When awarding the prize in 1970, the Swedish Royal Academies stated that he " ...
and Robert Merton he created a hedge fund that represents the first known attempt at computerized arbitrage trading. He took over as chief executive in 1970. After a successful run as a private hedge fund, AMC was sold to Stuart & Co. in 1971. A year later, Markowitz left the company. Years later, he was involved with CACI's
SIMSCRIPT SIMSCRIPT is a free-form, English-like general-purpose simulation language conceived by Harry Markowitz and Bernard Hausner at the RAND Corporation in 1962. It was implemented as a Fortran preprocessor on the IBM 7090 and was designed for large ...
addition of
Object-oriented Object-oriented programming (OOP) is a programming paradigm based on the concept of " objects", which can contain data and code. The data is in the form of fields (often known as attributes or ''properties''), and the code is in the form of p ...
features.


Post-CACI

Markowitz divides his time between teaching (he is an adjunct professor at the Rady School of Management at the University of California at San Diego, UCSD); video casting lectures; and consulting (out of his Harry Markowitz Company offices). He currently serves on the Advisory Board of SkyView Investment Advisors, a traditional and alternative investment advisory firm. Markowitz also serves on the Investment Committee of LWI Financial Inc. ("
Loring Ward Loring may refer to: Places ;Canada *Port Loring, Ontario, a community in Parry Sound District *Loring-Wyle Parkette, a small Toronto park ;United States *Loring, Alaska, a census-designated place in Ketchikan Gateway Borough *Loring, Missouri, a ...
"), a San Jose, California-based investment advisor; on the advisory panel of Robert D. Arnott's Newport Beach, California based investment management firm,
Research Affiliates Robert D. Arnott (born June 29, 1954) is an American entrepreneur, investor, editor and writer who focuses on articles about quantitative investing. He is the founder and chairman of the board of Research Affiliates, an asset management firm. R ...
; on the Advisory Board of Mark Hebner's Irvine, California and internet based investment advisory firm, Index Fund Advisors; and as an advisor to the Investment Committee of
1st Global First or 1st is the ordinal form of the number one (#1). First or 1st may also refer to: *World record, specifically the first instance of a particular achievement Arts and media Music * 1$T, American rapper, singer-songwriter, DJ, and rec ...
, a Dallas, Texas-based wealth management and investment advisory firm. Markowitz advises and serves on the board of ProbabilityManagement.org, a 501(c)(3) non-profit that aims "to reshape the communication and calculation of uncertainty." Markowitz is co-founder and Chief Architect of GuidedChoice, a 401(k) managed accounts provider and investment advisor. Markowitz's more recent work has included designing the backbone software analytics for the GuidedChoice investment solution and heading the GuidedChoice Investment Committee. He is actively involved in designing the next step in the retirement process: assisting retirees with wealth distribution through GuidedSpending.


Research

A ''Markowitz-efficient portfolio'' is one where
diversification Diversification may refer to: Biology and agriculture * Genetic divergence, emergence of subpopulations that have accumulated independent genetic changes * Agricultural diversification involves the re-allocation of some of a farm's resources to ...
can lower the portfolio's
risk In simple terms, risk is the possibility of something bad happening. Risk involves uncertainty about the effects/implications of an activity with respect to something that humans value (such as health, well-being, wealth, property or the environm ...
for a given return expectation (alternately, no additional expected return can be gained without increasing the risk of the portfolio). The Markowitz
Efficient Frontier In modern portfolio theory, the efficient frontier (or portfolio frontier) is an investment portfolio which occupies the "efficient" parts of the risk–return spectrum. Formally, it is the set of portfolios which satisfy the condition that no ...
is the set of all portfolios that will give the highest expected return for each given level of risk. These concepts of efficiency were essential to the development of the capital asset pricing model. Markowitz also co-edited the textbook ''The Theory and Practice of Investment Management'' with Frank J. Fabozzi of
Yale School of Management The Yale School of Management (also known as Yale SOM) is the graduate business school of Yale University, a private research university in New Haven, Connecticut. The school awards the Master of Business Administration (MBA), MBA for Executiv ...
. In the same line, Markowitz is part of the Editorial Board of AESTIMATIO, the IEB International Journal of Finance.


Selected publications

* * * * (reprinted by Yale University Press, 1970, ; 2nd ed. Basil Blackwell, 1991, ) * * * *


See also

*
List of economists This is an incomplete alphabetical list by surname of notable economists, experts in the social science of economics, past and present. For a history of economics, see the article History of economic thought. Only economists with biographical artic ...
*
List of Jewish Nobel laureates Nobel Prizes have been awarded to over 900 individuals, of whom at least 20% were Jews. * * * * * * * * The number of Jews receiving Nobel prizes has been the subject of some attention.* * *"Jews rank high among winners of Nobel, but why ...
*
Risk management tools Risk management tools allow the uncertainty to be addressed by identifying and generating metrics, parameterizing, prioritizing, and developing responses, and tracking risk. These activities may be difficult to track without tools and techniques, d ...


References


External links

*
Harry Markowitz: Videos of Interviews by Mark Hebner and Weston Wellington and Presentations by Professor Markowitz


** ** ttp://nobelprize.org/nobel_prizes/economics/laureates/1990/markowitz-speech.html Banquet Speech December 10, 1990 *
Nobel Prize Lecture: Foundations of Portfolio Theory
December 7, 1990
PDF format

Oral history interview with Harry M. Markowitz
Charles Babbage Institute The IT History Society (ITHS) is an organization that supports the history and scholarship of information technology by encouraging, fostering, and facilitating archival and historical research. Formerly known as the Charles Babbage Foundation, ...
, University of Minnesota – Markowitz discusses his development of
portfolio theory Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk. It is a formalization and extension of diversificatio ...
,
sparse matrices In numerical analysis and scientific computing, a sparse matrix or sparse array is a matrix in which most of the elements are zero. There is no strict definition regarding the proportion of zero-value elements for a matrix to qualify as sparse b ...
, and his work at the RAND Corporation and elsewhere on simulation software development (including computer language
SIMSCRIPT SIMSCRIPT is a free-form, English-like general-purpose simulation language conceived by Harry Markowitz and Bernard Hausner at the RAND Corporation in 1962. It was implemented as a Fortran preprocessor on the IBM 7090 and was designed for large ...
), modeling, and operations research.
History of Finance, interviews
The
American Finance Association The American Finance Association (AFA) is an academic organization whose focus is the study and promotion of knowledge of financial economics. It was formed in 1939. Its main publication, the '' Journal of Finance'', was first published in 1946. ...

Guide to the Harry M. Markowitz Papers 1963, 1965, 1967

Adjunct Professor of Finance, bio
Rady School of Management, University of California at San Diego
1st Global Engages Dr. Harry M. Markowitz
1st Global * * http://people.maths.ox.ac.uk/~zhouxy/download/mvjump_part2.pdf * http://home.dacor.net/norton/finance-math/problems_w_Markowitz.pdf
Biography of Harry Markowitz
from the Institute for Operations Research and the Management Sciences {{DEFAULTSORT:Markowitz, Harry 1927 births Living people Nobel laureates in Economics American Nobel laureates Economists from California Baruch College faculty University of California, San Diego faculty Jewish American scientists University of Chicago alumni Fellows of the Econometric Society John von Neumann Theory Prize winners RAND Corporation people Jewish American economists Financial economists Management & Organization scholars Fellows of the American Academy of Arts and Sciences Fellows of the Institute for Operations Research and the Management Sciences Presidents of the American Finance Association