/Harry markowitz portfolio theory pdf

Harry markowitz portfolio theory pdf

This harry markowitz portfolio theory pdf may be unbalanced towards certain viewpoints. 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 risk or volatility by investing in a variety of assets. Diversification is one of two general techniques for reducing investment risk. 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 hand, having a lot of baskets may increase costs. In finance, an example of an undiversified portfolio is to hold only one stock. It is less common for a portfolio of 20 stocks to go down that much, especially if they are selected at random.

Since the mid-1970s, it has also been argued that geographic diversification would generate superior risk-adjusted returns for large institutional investors by reducing overall portfolio risk while capturing some of the higher rates of return offered by the emerging markets of Asia and Latin America. If the prior expectations of the returns on all assets in the portfolio are identical, the expected return on a diversified portfolio will be identical to that on an undiversified portfolio. There is no magic number of stocks that is diversified versus not. Sometimes quoted is 30, although it can be as low as 10, provided they are carefully chosen.

This is based on a result from John Evans and Stephen Archer. Similarly, a 1985 book reported that most value from diversification comes from the first 15 or 20 different stocks in a portfolio. Given the advantages of diversification, many experts recommend maximum diversification, also known as “buying the market portfolio”. Unfortunately, identifying that portfolio is not straightforward. Diversification has no maximum so long as more assets are available.

Every equally weighted, uncorrelated asset added to a portfolio can add to that portfolio’s measured diversification. When assets are not uniformly uncorrelated, a weighting approach that puts assets in proportion to their relative correlation can maximize the available diversification. This weights assets in inverse proportion to risk, so the portfolio has equal risk in all asset classes. This is justified both on theoretical grounds, and with the pragmatic argument that future risk is much easier to forecast than either future market price or future economic footprint.

One simple measure of financial risk is variance of the return on the portfolio. Diversification can lower the variance of a portfolio’s return below what it would be if the entire portfolio were invested in the asset with the lowest variance of return, even if the assets’ returns are uncorrelated. The latter analysis can be adapted to show why adding uncorrelated volatile assets to a portfolio, thereby increasing the portfolio’s size, is not diversification, which involves subdividing the portfolio among many smaller investments. Thus, for example, when an insurance company adds more and more uncorrelated policies to its portfolio, this expansion does not itself represent diversification—the diversification occurs in the spreading of the insurance company’s risks over a large number of part-owners of the company. Thus, in an equally weighted portfolio, the portfolio variance tends to the average of covariances between securities as the number of securities becomes arbitrarily large. The capital asset pricing model introduced the concepts of diversifiable and non-diversifiable risk. Synonyms for diversifiable risk are idiosyncratic risk, unsystematic risk, and security-specific risk.

P 500 one is obviously exposed only to movements in that index. P 500, one is exposed both to index movements and movements in the stock based on its underlying company. In the presence of per-asset investment fees, there is also the possibility of overdiversifying to the point that the portfolio’s performance will suffer because the fees outweigh the gains from diversification. The capital asset pricing model argues that investors should only be compensated for non-diversifiable risk. Other financial models allow for multiple sources of non-diversifiable risk, but also insist that diversifiable risk should not carry any extra expected return.

Still other models do not accept this contention. In 1977 Edwin Elton and Martin Gruber worked out an empirical example of the gains from diversification. In corporate portfolio models, diversification is thought of as being vertical or horizontal. Horizontal diversification is thought of as expanding a product line or acquiring related companies. Vertical diversification is synonymous with integrating the supply chain or amalgamating distributions channels. Non-incremental diversification is a strategy followed by conglomerates, where the individual business lines have little to do with one another, yet the company is attaining diversification from exogenous risk factors to stabilize and provide opportunity for active management of diverse resources. Diversification is mentioned in the Bible, in the book of Ecclesiastes which was written in approximately 935 B.