{"id":13566,"date":"2022-09-22T13:42:31","date_gmt":"2022-09-22T12:42:31","guid":{"rendered":"https:\/\/thefinancialeducation.co.uk\/?p=13566"},"modified":"2022-10-17T12:25:04","modified_gmt":"2022-10-17T11:25:04","slug":"309bir-session-12","status":"publish","type":"post","link":"https:\/\/thefinancialeducation.co.uk\/index.php\/2022\/09\/22\/309bir-session-12\/","title":{"rendered":"309BIR: Session 12"},"content":{"rendered":"\n<p class=\"has-medium-font-size\">Investment Practice: Correlation Beta<br><\/p>\n\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" data-mobilecollapse=\"false\" data-desktopcollapse=\"false\" data-preventcollapse=\"false\" data-showonlyone=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-0-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Session Learning Outcomes<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down open\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"true\" class=\"wp-block-ub-content-toggle-accordion-content-wrap\" id=\"ub-content-toggle-panel-0-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<p>After this session, you should be able to:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>understand the concept of correlation and how it can aid portfolio construction and asset allocation<\/li><li>understand the impact of diversification and rebalancing on portfolio risk and return<\/li><li> use <abbr class=\"c2c-text-hover\" title=\"is anything that increases one\u2019s ability to generate value. It can be used to increase value across a wide range of categories, such as financial, social, physical, intellectual, etc. In business and economics, the two most common types of capital are financial and human. Capital is the money used to build, run, or grow a business. It can also refer to the net worth (or book value) of a business. Capital most commonly refers to the money used by a business either to meet upcoming expenses, or to invest in new assets and projects.\">Capital<\/abbr> Asset Pricing Model concepts for performance measurement.<\/li><\/ul>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-1-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Understanding Correlation<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Combining different investments can achieve more than just a simple spreading of risk.<\/li><li>Appropriately selected combinations can actually reduce the level of risk without affecting the expected return.<\/li><li>It is this that makes portfolio construction such a powerful investment strategy.<\/li><li>The key to unlocking this strategy is an understanding of the correlation between <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr><br><\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_bbc01d72-0e8b-475d-9b23-6761b4f3e4bc\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>When the price of A goes up, the price of B goes down: we can say that the daily returns of A and B are negatively correlated.<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-opt-id=47483043  fetchpriority=\"high\" decoding=\"async\" width=\"990\" height=\"674\" src=\"https:\/\/mlunj1lkadsx.i.optimole.com\/w:auto\/h:auto\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-18.png\" alt=\"\" class=\"wp-image-13575\" srcset=\"https:\/\/mlunj1lkadsx.i.optimole.com\/w:990\/h:674\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-18.png 990w, https:\/\/mlunj1lkadsx.i.optimole.com\/w:300\/h:204\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-18.png 300w, https:\/\/mlunj1lkadsx.i.optimole.com\/w:768\/h:523\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-18.png 768w, https:\/\/mlunj1lkadsx.i.optimole.com\/w:360\/h:245\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-18.png 360w\" sizes=\"(max-width: 847px) 100vw, 847px\" \/><\/figure>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_72c8fba4-ab58-44b9-9a9f-f7987e2e5f7f\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>If we combine the two <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> A and B (50 per cent of our portfolio in each) we get the line AB:<ul><li>instead of ups and downs across the period, the combination of the two risky <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> results in a nice smooth line.<\/li><\/ul><\/li><li>The smoothness of the line indicates a low risk of price movements either up or down although, as the risk is reduced, so is the return relative to holding just A.<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Investors might opt for AB if they are risk averse and give higher priority to avoiding short-term fluctuations than to seeking the highest possible return over the whole investment term.<\/li><li>This would imply that investors view the systematic negative correlation of the daily returns of A and B as stronger and more likely to persist than either the overall upward trend of A or the downward trend of B.<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-2-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Correlation Coefficient<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The exact correlation is measured by the \u2018correlation coefficient\u2019,<br>essentially an index number that records the degree to which two series of values (in this case, daily returns) vary (or not) in line with each other.<\/li><li>The correlation coefficient lies between \u22121 (perfectly negative correlation) and 1 (perfectly positive correlation).<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"What is the Correlation Coefficient r ?\" width=\"847\" height=\"476\" src=\"https:\/\/www.youtube.com\/embed\/z37oW9fTqAY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-3-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Understanding Correlation<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<ul class=\"wp-block-list\"><li>A correlation of \u22121 means that all points of the scatter plot are found on a straight line with a decreasing slope.<ul><li>It tells us that as the values for Asset A rise, values for Asset B would fall, and vice versa.<\/li><\/ul><\/li><li>A correlation of 1 is the exact opposite: all points would be on a straight line with a positive slope.<ul><li>It tells us that Asset A and Asset B would rise and fall together.<\/li><\/ul><\/li><li>A correlation of 0 means that there is no particular linear association between the two series.<\/li><\/ul>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-e08b49d8-27f8-4d44-8702-42a545712f52\" href=\"https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/309BIR-SESSION-12-Correlation-Example-.xlsx\">309BIR-SESSION-12-Correlation-Example-<\/a><a href=\"https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/309BIR-SESSION-12-Correlation-Example-.xlsx\" class=\"wp-block-file__button\" download aria-describedby=\"wp-block-file--media-e08b49d8-27f8-4d44-8702-42a545712f52\">Download<\/a><\/div>\n\n\n\n<p>(Excel-&gt;Option-&gt;Adds-in-&gt; \u201cAnalysis ToolPak\u201d and click \u201cOk\u201d\/Go to spreadsheet with prepared data-&gt;Data Analysis-&gt;Correlation-&gt;Extract R in another sheet)<\/p>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_abe05986-631e-42c0-a0c9-6a74dc0e2cd4\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p><strong>Using correlation in practice<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>You have seen what correlation means and there were hints above about how it could be used to smooth returns from financial <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr>, indicating opportunities for risk reduction.<\/li><li>In particular, a negative correlation between the returns of two <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> is highly desirable.<\/li><li>However, although combining negatively correlated <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> can smooth out ups and downs in day-to-day performance, it does not necessarily produce large cumulative returns over the full investment term.<\/li><li>So, it is important to think about what we want to correlate and over which period.<\/li><li>For example, take two <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> whose prices go in the opposite direction every day but on average are on a downward trend month after month:<ul><li>the combination of the two would give a smooth pattern of the average daily value of the portfolio but this value would be decreasing over several months<\/li><li>this means a negative correlation between their daily returns and a positive correlation between their monthly returns (that is both are negative each month).<\/li><\/ul><\/li><li>Moreover, the correlation coefficient, whatever the period of returns used to calculate it, is always based on past data: <ul><li>past trends may not be repeated and so can be a poor predictor of future outcomes.<\/li><\/ul><\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_22a428e7-534a-47c1-b8f6-3501239c0394\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>As long as the investor is aware of these limitations, the correlation remains a very useful tool to identify opportunities for risk diversification.<\/li><li>Combined with fundamental analysis, it can guide the asset allocation strategy of the investor in creating portfolios that target a desired level of return with no more than the level of risk the investor can tolerate.<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Unlike the expected return, the risk of the portfolio is not simply the weighted average of the risk of its components.<\/li><li>We need to take into <abbr class=\"c2c-text-hover\" title=\"Part of double entry records, containing details of transactions for a specific item.\">account<\/abbr> the correlation between these components.<\/li><li>This is at the core of modern portfolio theory, <abbr class=\"c2c-text-hover\" title=\"base a concept on an extension or modification of (another concept). obtain something from (a specified source).\">derived<\/abbr> by Harry Markowitz in the mid-twentieth century.<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Modern Portfolio Theory - Explained in 4 Minutes\" width=\"847\" height=\"476\" src=\"https:\/\/www.youtube.com\/embed\/YtrMGKLRtwA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"In Pursuit of the Perfect Portfolio: Harry M. Markowitz\" width=\"847\" height=\"476\" src=\"https:\/\/www.youtube.com\/embed\/wdeoIPCFtDU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>Portfolio rebalancing sounds boring, but it\u2019s a powerful investment strategy<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/www.cnbc.com\/2015\/10\/21\/portfolio-rebalancing-sounds-boring-but-its-a-powerful-investment-strategy.html\">https:\/\/www.cnbc.com\/2015\/10\/21\/portfolio-rebalancing-sounds-boring-but-its-a-powerful-investment-strategy.html<\/a><\/p>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-4-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Portfolio Diversification<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<p id=\"block-5956830c-2828-4575-9db6-70cf5b0b0c9e\"><strong>Risk of a two-share portfolio<\/strong><\/p>\n\n\n\n<p id=\"block-c650f6f8-021e-4229-aba5-f4a3fd54f757\">\ufeff<\/p>\n\n\n\n<ul class=\"wp-block-list\" id=\"block-63c55c9a-3867-47a8-85be-4df4438d387f\"><li>Unlike the expected return, the risk of the portfolio is not simply the weighted average of the risk of its components.<\/li><li>We need to take into <abbr class=\"c2c-text-hover\" title=\"Part of double entry records, containing details of transactions for a specific item.\">account<\/abbr> the correlation between these components.<\/li><li>This is at the core of modern portfolio theory, <abbr class=\"c2c-text-hover\" title=\"base a concept on an extension or modification of (another concept). obtain something from (a specified source).\">derived<\/abbr> by Harry Markowitz in the mid-twentieth century.<\/li><\/ul>\n\n\n\n<p id=\"block-57266b3f-edc2-48dd-8ab0-3fcc7ad474ef\"><\/p>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_599c5f9f-e24a-4041-b9ee-eb16e3998dd6\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p>The risk of the two-share portfolio is equal to the sum of three terms:<\/p>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>the risk of the first asset in the portfolio, weighted by its proportion in the fund<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>the risk of the second asset in the portfolio, also weighted by its proportion in the fund<\/li><li>a term that includes the correlation coefficient.<ul><li>Remember: <ul><li>the more negative the correlation coefficient, the more the reduction of total risk, thanks to this third term that reduces the weighted sum of individual risks (that is, the first two terms).<\/li><\/ul><ul><li>At the other extreme, when the correlation coefficient is equal to 1, no reduction in risk is possible.<\/li><\/ul><\/li><\/ul><\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_7cc98b33-923a-4d6a-9902-33a6e5c3b8b6\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>Provided correlation is less than perfect, the benefit of diversification even when <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> are positively correlated is good news for the real world.<\/li><li>As you have seen, the total risk of an asset includes the systematic risk of the market in which it is traded and so this asset is likely to be at least partially positively correlated with other <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> evolving in the same market.<\/li><li>These findings of the modern portfolio theory have been at the core of asset allocation strategies over the last fifty years.<\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_a8598fcf-1373-4508-bfbc-e4a547ea89e9\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>As the price of shares varies over the full, say, five or ten-year period so does the proportion of their value in the portfolio if their number is kept constant.<\/li><li>The direct implication of this is that the risk of some types of portfolios has increased the term of the investment, due to the larger proportion of riskier shares.<\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_f75b0962-db90-4e3d-b2f5-e15f43343079\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p><strong>Portfolio Rebalancing<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The alternative strategy, consistent with the principles of modern portfolio theory is to keep the proportion of the value of the portfolio invested in each of the shares constant.<\/li><li>This can be called diversification by value.<\/li><li>This portfolio implies that the investor must review the portfolio at the end of each period (e.g. each month).<\/li><li>As the prices of the shares change, the investor will have to sell some of any shares that have increased in value and buy more of any shares that have fallen in value, in order to keep constant the relative contribution of each to the value of the portfolio.<\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_a3d20657-d388-4e7c-b5a1-9eeec2963c11\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>This \u2018value\u2019 strategy is <abbr class=\"c2c-text-hover\" title=\"suggested but not communicated directly\">implicit<\/abbr> in Markowitz&#8217;s diversification, for each <abbr class=\"c2c-text-hover\" title=\"is the amount of time an investment is held by an investor or the period between the purchase and sale of a security.\">holding period<\/abbr>.<\/li><li>It also lies behind the investment management strategy of rebalancing \u2013<ul><li>in other words, periodically, selling some <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> and buying others to restore the original asset allocation by value and, <\/li><li>hence, the original level of risk.<\/li><\/ul><\/li><li>The implications of the two strategies &#8211; volume or value &#8211; for the returns of the portfolio may be quite different.<\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_c793738c-b55b-46f9-8b55-4c2de7251fe8\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>Note that in practice the real-world investment strategy of rebalancing will typically be somewhere in between a pure value and pure volume approach because:<ul><li>Transaction costs and taxation of <abbr class=\"c2c-text-hover\" title=\"is anything that increases one\u2019s ability to generate value. It can be used to increase value across a wide range of categories, such as financial, social, physical, intellectual, etc. In business and economics, the two most common types of capital are financial and human. Capital is the money used to build, run, or grow a business. It can also refer to the net worth (or book value) of a business. Capital most commonly refers to the money used by a business either to meet upcoming expenses, or to invest in new assets and projects.\">capital<\/abbr> gains reduce the benefits from rebalancing very frequently.<\/li><li><abbr class=\"c2c-text-hover\" title=\"takes place when a business accepts work and tries to complete it, but finds that fulfilment requires greater resources (ie cash, people, stock) than are available. This can be caused by unforeseen events such as: manufacturing or delivery taking longer than anticipated, resulting in cashflow being impaired.\">Overtrading<\/abbr> may also increase total market volatility and instability.<\/li><\/ul><\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_b08d2239-0d11-4cdc-95d3-76d6636387a2\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>To maintain constant value proportions in your portfolio, the rebalancing strategy implies selling <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> which have increased in value and buying more <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> whose value has decreased (a \u2018sell high\/buy low\u2019 strategy).<\/li><li>Some would argue that this is a sensible strategy although in practice many investors actually do the opposite (keep the winners and sell the losers).<\/li><li>These behaviours are highly related to the way investors consider how markets work.<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"How does portfolio rebalancing work?\" width=\"847\" height=\"476\" src=\"https:\/\/www.youtube.com\/embed\/DW0HNMeuZVo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p><a href=\"https:\/\/hbr.org\/1982\/01\/does-the-capital-asset-pricing-model-work\">https:\/\/hbr.org\/1982\/01\/does-the-<abbr class=\"c2c-text-hover\" title=\"is anything that increases one\u2019s ability to generate value. It can be used to increase value across a wide range of categories, such as financial, social, physical, intellectual, etc. In business and economics, the two most common types of capital are financial and human. Capital is the money used to build, run, or grow a business. It can also refer to the net worth (or book value) of a business. Capital most commonly refers to the money used by a business either to meet upcoming expenses, or to invest in new assets and projects.\">capital<\/abbr>-asset-pricing-model-work<\/a><\/p>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-5-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Investment &amp; Investing<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<ul class=\"wp-block-list\"><li>In practice, building an efficient portfolio is quite time-consuming and may be costly,<br>because one needs to assess the characteristics of each share in the market and each possible portfolio to establish where the efficient frontier lies.<\/li><li>In real markets, there may be many thousands of combinations.<\/li><li>Provided one accepts some assumptions, the <abbr class=\"c2c-text-hover\" title=\"is anything that increases one\u2019s ability to generate value. It can be used to increase value across a wide range of categories, such as financial, social, physical, intellectual, etc. In business and economics, the two most common types of capital are financial and human. Capital is the money used to build, run, or grow a business. It can also refer to the net worth (or book value) of a business. Capital most commonly refers to the money used by a business either to meet upcoming expenses, or to invest in new assets and projects.\">Capital<\/abbr> Asset Pricing Model (CAPM) offers both a simpler way to build an efficient portfolio and superior combinations of risk and return.<\/li><\/ul>\n\n\n\n<p><\/p>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-6-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Investing in the Market<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-6-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<ul class=\"wp-block-list\"><li>If we add a further assumption that all investors are looking at the same risk-return spectrum, this implies that if all investors have optimized their portfolio, then the only combination of shares they can hold is that which exists in the market:<ul><li>after having bought and sold different <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> to each other, they have reached an equilibrium which represents the best combination possible and is located on the efficient frontier.<\/li><\/ul><\/li><li>Now the only way they can obtain a different combination of risk and return is to combine the market portfolio with a risk-free asset in different proportions,<br>suitable to their risk attitude\/tolerance.<\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_5f05d2b8-6c96-4a38-9d3a-6ddcaf681f57\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>Two more assumptions are needed in order to make this strategy possible (and simple to explain):<ul><li>the risk-free asset is risk-free for everyone, and<\/li><li>investors can borrow and lend at the same risk-free rate.<\/li><\/ul><\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_d4a867b9-4e02-4a97-8873-a0591144db9d\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p><strong>The <abbr class=\"c2c-text-hover\" title=\"is anything that increases one\u2019s ability to generate value. It can be used to increase value across a wide range of categories, such as financial, social, physical, intellectual, etc. In business and economics, the two most common types of capital are financial and human. Capital is the money used to build, run, or grow a business. It can also refer to the net worth (or book value) of a business. Capital most commonly refers to the money used by a business either to meet upcoming expenses, or to invest in new assets and projects.\">Capital<\/abbr> Asset Pricing Model<\/strong><\/p>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>When you increase the proportion of market securities in the portfolio, you increase the level of risk; hence you expect the investor to be rewarded with a higher return.<\/li><li>Conversely, when the proportion of M is decreased, the investor gets a less risky portfolio.<\/li><li>Depending on their attitude to risk, each investor can find the portfolio that suits them best.<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Note that one could also borrow at the risk-free rate in order to increase further the number of market securities one can hold.<\/li><li>If you move the slider beyond 100 per cent of market securities, you allow for the possibility that the investor is negative in cash (they borrow) in order to overload their portfolio P with the market index and reach risk-return combinations that are superior to the efficient frontier.<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-video\"><video height=\"360\" style=\"aspect-ratio: 640 \/ 360;\" width=\"640\" controls src=\"https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/What-is-the-Capital-Asset-Pricing-Model-Morningstar.mp4\"><\/video><figcaption><a href=\"https:\/\/www.morningstar.co.uk\/uk\/news\/169480\/what-is-the-capital-asset-pricing-model.aspx\" data-type=\"URL\" data-id=\"https:\/\/www.morningstar.co.uk\/uk\/news\/169480\/what-is-the-capital-asset-pricing-model.aspx\">CAPM<\/a><\/figcaption><\/figure>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_df6cb616-486b-4334-9287-21702bf1719a\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p><strong>Measuring performance<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Strict followers of the CAPM would be passive investors,<ul><li>in other words, they would hold a single fund representing the market portfolio and<\/li><\/ul><ul><li>combine this with a risk-free asset (say, cash or government bonds) to achieve the mix of risk and return they want.<\/li><\/ul><\/li><li>The market portfolio can also serve as a benchmark to evaluate strategies pursued by active investors.<ul><li>different funds can be built with a diverse mix of risky <abbr class=\"c2c-text-hover\" title=\"Resources owned\/controlled by a business\/something valuable belonging to a person or organization that can be used for the payment of debts.\">assets<\/abbr> in order to try to beat the market (the benchmark).<\/li><\/ul><\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_2eb24cfe-e818-4545-852a-ef70f2faae9e\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Some managers believe that they have superior skills or information available to them,<ul><li>or that markets are not efficient,<\/li><li>allowing for prices to be predictable to some extent,<\/li><li>so that there could be opportunities to secure higher returns for a given level of systematic risk<ul><li>just by changing the composition of the portfolio.<\/li><\/ul><\/li><\/ul><\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_1c31a107-ef37-48c3-bf94-35ed4ab04543\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p>Remember the two main types of active investing:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>changing the amount of cash (buying and selling M) depending on how the market behaves<ul><li>(market timing exercise);<\/li><\/ul><\/li><li>overloading the risky portfolio with more attractive shares (deviating from M), which are expected to perform better than the benchmark<ul><li>(stock selection\/picking exercise).<\/li><\/ul><\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>More<\/strong><\/p>\n\n\n\n<p>Portfolio Theory and the <abbr class=\"c2c-text-hover\" title=\"is anything that increases one\u2019s ability to generate value. It can be used to increase value across a wide range of categories, such as financial, social, physical, intellectual, etc. In business and economics, the two most common types of capital are financial and human. Capital is the money used to build, run, or grow a business. It can also refer to the net worth (or book value) of a business. Capital most commonly refers to the money used by a business either to meet upcoming expenses, or to invest in new assets and projects.\">Capital<\/abbr> Asset Pricing Model (page: 198)<\/p>\n\n\n\n<p><a href=\"https:\/\/bibliu.com\/app\/?query=%22the%20Capital%20Asset%20Pricing%20Model%22#\/view\/books\/9781260568356\/epub\/OEBPS\/chapter8.html#page_205\">https:\/\/bibliu.com\/app\/?query=%22the%20Capital%20Asset%20Pricing%20Model%22#\/view\/books\/9781260568356\/epub\/OEBPS\/chapter8.html#page_205<\/a><\/p>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-7-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Beta<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-7-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<ul class=\"wp-block-list\"><li>One way to consider these active strategies is to use a simple indicator that would depend on the correlation between a particular asset and the chosen benchmark &#8211; in this case, the market portfolio.<\/li><li>By definition, the asset must be one of the many constituents of the market portfolio.<\/li><li>So the correlation would, in effect be a measure of the contribution that this specific asset makes to the risk and return of the portfolio as a whole.<\/li><li>It is called the beta (or alternatively the beta coefficient).<\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_28201122-c5c9-4dd9-9f19-4b9abc2c8d6b\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<ul class=\"wp-block-list\"><li>Beta is a more powerful measure because it also informs us about the magnitude of the relationship.<\/li><li>Beta is a measure of the volatility of an asset relative to its market.<\/li><li>It is a measure of the extent to which the asset\u2019s return goes up and down with the market as a whole.<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>A beta of 1 tells us that the return from the asset changes exactly in line with the market as a whole.<\/li><li>The market portfolio itself must by definition have a beta of 1.<\/li><li>A tracker fund &#8211; in other words, a portfolio which tries to replicate the market risk and return &#8211; would be expected to have a beta close to 1.<\/li><li>A positive beta of less than 1 indicates that the asset moves with the market but not by as much.<\/li><li>A beta of more than 1 indicates an asset that moves more strongly than the market both when the market is rising and when it is falling.<\/li><\/ul>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_1970dd5c-cc9b-4545-86fc-bf05449167bb\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p><strong>Interpreting beta<\/strong><\/p>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Let\u2019s look at the betas of some imaginary shares, with the benchmark being the portfolio Koblanc as our representation of the market portfolio.<\/li><li>On the next slide, you can see the Betas of the four shares of interest, Gelato, Hotchoc, Kofi and Solcap, (reproduced in Table 4.1 below).<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-opt-id=1950333192  fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"289\" src=\"https:\/\/mlunj1lkadsx.i.optimole.com\/w:1024\/h:289\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-19.png\" alt=\"\" class=\"wp-image-13617\" srcset=\"https:\/\/mlunj1lkadsx.i.optimole.com\/w:1024\/h:289\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-19.png 1024w, https:\/\/mlunj1lkadsx.i.optimole.com\/w:300\/h:85\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-19.png 300w, https:\/\/mlunj1lkadsx.i.optimole.com\/w:768\/h:217\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-19.png 768w, https:\/\/mlunj1lkadsx.i.optimole.com\/w:360\/h:102\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-19.png 360w, https:\/\/mlunj1lkadsx.i.optimole.com\/w:1351\/h:381\/q:mauto\/f:best\/https:\/\/thefinancialeducation.co.uk\/wp-content\/uploads\/2022\/09\/image-19.png 1351w\" sizes=\"(max-width: 847px) 100vw, 847px\" \/><\/figure>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_11bd5433-2a4d-4ba0-8fcf-ca4241326083\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p><strong>Activity<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\" id=\"block-4599fcd8-e9ae-4d9c-a137-888324db8f8b\"><li>Gelato has a beta of nearly 2.2. What does this mean?<\/li><li>Compare it to the beta of Hotchoc.<\/li><li>Looking at the betas of Kofi and Hotchoc, would you say these are low-risk shares?<\/li><\/ol>\n\n\n<div class=\"wp-block-ub-divider ub_divider ub-divider-orientation-horizontal\" id=\"ub_divider_d9255dad-9ff7-4de6-b5f6-9c437ad2a2a1\"><div class=\"ub_divider_wrapper\" style=\"position: relative; margin-bottom: 2px; width: 100%; height: 2px; \" data-divider-alignment=\"center\"><div class=\"ub_divider_line\" style=\"border-top: 2px solid #ccc; margin-top: 2px; \"><\/div><\/div><\/div>\n\n\n<p>Calculating the beta of a portfolio<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>An advantage of beta is that it is easy to compute. Moreover, if it is well measured (the reference should be the relevant market as a whole), we can also use individual betas to compute the beta of any portfolio.<\/li><li>When we know the individual betas of the components of a portfolio, the beta of the portfolio is simply the weighted average of the betas of its components.<\/li><li>For example, the portfolio Kocap is made up of 64 per cent shares in Kofi and 36 per cent shares in Solcap.<\/li><li>Therefore:<ul><li>Beta of Kocap = 64% \u00d7 beta of Kofi + 36% \u00d7 beta of Solcap<\/li><li>= 64% \u00d7 0.31 + 36% \u00d7 0.58 = 0.40<\/li><\/ul><\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"How Does Beta Work? | Beta In Stocks Explained\" width=\"847\" height=\"476\" src=\"https:\/\/www.youtube.com\/embed\/nt8Q9lrdFMw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-8-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>Conclusion<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-8-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<p>You have learnt:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>that, investors who follow the CAPM tend to adopt a passive strategy:<\/li><li>they invest in funds that mimic the market portfolio and a risk-free asset in proportions depending on their personal risk attitude<\/li><li>in practice, investors do not all behave as the CAPM would suggest. Some adopt a different strategy \u2013 a more active<\/li><li>that the performance of the investment portfolios created by investors can be assessed using various performance measures, which take into <abbr class=\"c2c-text-hover\" title=\"Part of double entry records, containing details of transactions for a specific item.\">account<\/abbr> not only the amount of return but also the risk involved in their strategies.<\/li><\/ul>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #fcb900;\" id=\"ub-content-toggle-panel-block-\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #fcb900;\" aria-controls=\"ub-content-toggle-panel-9-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\" style=\"color: #000000; \"><strong>References<\/strong><\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-9-7f460ecb-c2f5-4d23-8afa-c05ffc51b46d\">\n\n<ul class=\"wp-block-list\"><li>CII (2012) Financial Services, Regulation and <abbr class=\"c2c-text-hover\" title=\"is a\u00a0system\u00a0of\u00a0accepted beliefs\u00a0that\u00a0control behaviour,\u00a0especially\u00a0such a\u00a0system based\u00a0on\u00a0morals.\">Ethics<\/abbr> R01. Diploma in Regulated Financial Planning study text, London: The Chartered Insurance Institute.<\/li><li>CII (2014) Investment Planning AF4. Advanced Diploma in Regulated Financial Planning Study Text, London: The Chartered Insurance Institute.<\/li><li>Rutherford, J. (2010) Risk-Return Strategies in Mazzucato, M., Lowe, J., Shipman, A. &amp; Trigg, A. (eds) (2010) Personal Investment: Financial Planning in an Uncertain World Basingstoke: Palgrave Macmillan \/ The Open University.<\/li><li>Open University, Online Unit 3: Unpacking Portfolio Construction [online], https:\/\/learn2.open.ac.uk\/mod\/oucontent\/view.php?id=238980 (Accessed 22 August 2013).<\/li><li>YouTube (2009) Interview with Harry Markowitz, [online], http:\/\/www.youtube.com\/watch?v=5Y1MBc_Vj3w&amp;feature=fvw (Accessed 22 Jan 2014).<\/li><\/ul>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n<p><br><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><br><br><br><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Investment Practice: Correlation Beta<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_uag_custom_page_level_css":"","footnotes":""},"categories":[29,1],"tags":[],"table_tags":[],"class_list":["post-13566","post","type-post","status-publish","format-standard","hentry","category-309bir","category-uncategorised"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/thefinancialeducation.co.uk\/index.php\/author\/admin\/"},"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"education-hub-thumb":false},"uagb_author_info":{"display_name":"admin","author_link":"https:\/\/thefinancialeducation.co.uk\/index.php\/author\/admin\/"},"uagb_comment_info":2,"uagb_excerpt":"Investment Practice: Correlation Beta","_links":{"self":[{"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/13566","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/comments?post=13566"}],"version-history":[{"count":49,"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/13566\/revisions"}],"predecessor-version":[{"id":14460,"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/13566\/revisions\/14460"}],"wp:attachment":[{"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/media?parent=13566"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/categories?post=13566"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/tags?post=13566"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/thefinancialeducation.co.uk\/index.php\/wp-json\/wp\/v2\/table_tags?post=13566"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}