Modern Portfolio Theory: MPT Definition
Modern Portfolio Theory (MPT) is an investing model where the investor attempts to take minimal level of market risk to capture
maximum-level returns for a given portfolio of investments. However,
although widely used within the financial industry, there are recent criticisms
and variations of style to consider before applying MPT to your own investment
portfolio and strategy.
Markowitz, in a 1952 paper published by The Journal of Finance,
first proposed the theory as a means to create and construct a portfolio of
assets to maximize returns within a given level of risk, or to devise one with
a desired, specified and expected level of return with the least amount of risk.
He wanted to eliminate "idiosyncratic risk," or the risk
inherent in each investment because of the investment's own unique
characteristics.
Markowitz theorized that investors could design a portfolio to
maximize returns by accepting a quantifiable amount of risk. In other words,
investors could reduce risk by diversifying their assets and asset allocation
of their investments using a quantitative method.
With a well-balanced and calculated portfolio, if some of the
assets fall due to market conditions, others should rise an equal amount in
compensation, according to MPT.
Markowitz demonstrated that, by
taking a portfolio as its whole, it was less volatile than the total sum of its
parts.
To begin with, Markowitz assumed that most investors are, in their
hearts, risk-averse. That means they are more personally comfortable with less
risk, and nervous and anxious with increased risk. This also translates
into the belief that it is better to not lose money than to find or gain it.
So, given a choice between a higher return possibility with
greater risk, and a lower return possibility with less risk, most people will
naturally prefer the portfolio with the least risk, even if it means a lower
return.
The investor then naturally views a correlation between increased
risk and potential higher returns as compensation.
This gets to the heart of Markowitz's theory. Given two
portfolios, an investor will naturally prefer one that indicates the highest
return possibility with the least risk.
Portfolio Selection, the
original title of his ground-breaking theory, was published in March 1952 in and
anxious with increased risk. This also translates into the belief that it
is better to not lose money than to find or gain it.
So, given a choice between a higher return possibility with
greater risk, and a lower return possibility with less risk, most people will
naturally prefer the portfolio with the least risk, even if it means a lower
return.
The investor then naturally views a correlation between increased
risk and potential higher returns as compensation.
This gets to the heart of Markowitz's theory. Given two
portfolios, an investor will naturally prefer one that indicates the highest
return possibility with the least risk.
.
.
.
Portfolio
Selection, the
original title of his ground-breaking theory, was published in March 1952 in The
Journal of Finance, published by the American Finance Association. In it,
Markowitz argued that portfolios should optimize expected return relative to
volatility. He considered volatility could be measured as the variance
of return. He suggested also a limit he called the "efficient frontier."
In it, he notes, "the process of selecting a portfolio may be
divided into two stages. The first stage starts with observation and experience
and ends with beliefs about the future performances of available securities.
The second stage starts with relative beliefs about future performances and ends with
the choice of portfolio."
"Diversification is both observed and sensible; a
rule of behavior which does not imply the superiority of diversification must
be rejected both as a hypothesis and as a maxim," he added.
The gist of this selection method
is that a portfolio's assets must be selected on the basis of how each asset
will impact others as the overall value of the portfolio changes.
Why Is
Modern Portfolio Theory Important?
So, when your financial adviser or
you decide to have a "diversified portfolio,"
with assets divided up by percentage in different instruments and sectors --
such as 60%
equities (40% large-cap, 20% small-cap), 20% commodities, and 20% fixed income -- that's Modern
Portfolio Theory. Also, when you have to manage
your own portfolio of investments, whether they be mutual funds or specific
securities within your 401K, it helps to know a bit about allocation of your
investments versus allocation or calculation of the risks.
Most advisers and even fund
managers will do much of the work for you, which is why it is harder to try and
do it yourself. For example, in making decisions for investing in a
company-provided 401(k),
often the manager of the overall portfolio of your choices will provide at the
very least the stock or mutual fund's previous return history, and compare it
with market returns, to help you, the individual investor, decide how to
allocate your investments.
A good broker or financial adviser
will ask you what you think is your "risk profile" -- how much
risk are you willing to take to get how big a return on your investment?
Generally speaking, younger investors can "tolerate" more risk,
because they'll have more time to make back money lost in a downturn; older
people, especially living on a fixed income have
far less risk tolerance, because they might not have the time on earth it may
take to recover from a downturn.
Examples of Applying Modern Portfolio
Theory
One example of applying MPT relates to a portfolio's expected
return. MPT shows that the overall expected return of a portfolio is the
weighted average of the expected returns of the individual assets themselves.
For example, assume that an investor has a two-asset portfolio worth $1
million. Asset X has an expected return of 5%, and Asset Y has an expected
return of 10%. The portfolio has $800,000 in Asset X and $200,000 in Asset Y.
Based on these figures, the expected return of the portfolio is
Portfolio expected return = (($800,000 / $1 million) x 5%) +
(($200,000 / $1 million) x 10%) = 4% + 2% = 6%
If the investor wants to ratchet up the expected return of the
portfolio to 7.5%, all the investor needs to do is shift the appropriate amount
of capital from Asset X to Asset Y. In this case, the appropriate weights are
50% in each asset:
Expected return of
7.5% = (50% x 5%) + (50% x 10%) = 2.5% + 5% = 7.5%
This same idea applies to risk. One risk statistic that comes
from MPT, known as beta, measures a
portfolio's sensitivity to the market's systematic risk, which is the
portfolio's vulnerability to broad market events. A beta of one means that the portfolio is exposed to the same amount
of systematic risk as the market. Higher betas mean more risk, and lower betas
mean less risk. Assume that an investor has a $1 million portfolio invested in
the following four assets:
Asset A: Beta of 1, $250,000 invested
Asset B: Beta of 1.6, $250,000 invested
Asset C: Beta of 0.75, $250,000 invested
Asset D: Beta of 0.5, $250,000 invested
The portfolio beta is:
Beta = (25% x 1) + (25% x 1.6) + (25% x 0.75) + (25% x 0.5) =
0.96