{"id":31075,"date":"2015-05-18T08:17:48","date_gmt":"2015-05-18T08:17:48","guid":{"rendered":"http:\/\/vskills.in\/certification\/blog\/?p=31075"},"modified":"2024-04-03T13:17:01","modified_gmt":"2024-04-03T07:47:01","slug":"returns-distributions-and-financial-contracts","status":"publish","type":"post","link":"https:\/\/www.vskills.in\/certification\/blog\/returns-distributions-and-financial-contracts\/","title":{"rendered":"Returns Distributions and Financial Contracts"},"content":{"rendered":"<p style=\"text-align: center\"><a ref=\"magnificPopup\" href=\"http:\/\/vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/05\/Returns-Distributions-and-Financial-Contracts.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-31092\" src=\"http:\/\/vskills.in\/certification\/blog\/wp-content\/uploads\/2015\/05\/Returns-Distributions-and-Financial-Contracts.jpg\" alt=\"Returns Distributions and Financial Contracts\" width=\"265\" height=\"190\" \/><\/a><\/p>\n<p>In a single-period model it is certainly permissible to specify exogenously the joint probability distribution of the end-of-period values of the assets if we think of these assets as<br \/>\npreviously committed fixed investments which cannot be reversed &#8211; for example fields of<br \/>\nalready planted seeds. If trading takes place only at equilibrium prices, then this is equivalent to specifying the form of the joint probability distribution of returns as well as. If we<br \/>\nthink instead of a \u201cseed\u201d economy with assets representing various fields of differing fertility, it is perfectly all right to specify the returns distributions directly, provided that they<br \/>\nhave stochastic constant returns to scale. In either case the equilibrium solution will not be<br \/>\nmaterially affected. The only remaining issue is whether the equilibrium can be affected by<br \/>\ninvestors making financial contracts (side bets) among themselves.<br \/>\nWe have studied four single-period models of asset pricing: the CAPM relation and the<br \/>\nrelated distributional based separation model , the general utility relation<br \/>\nand the associated utility-based separation model , the arbitrage pricing<br \/>\ntheory , and the complete markets model.<br \/>\nThe creation of new financial securities clearly cannot affect the equilibrium reached<br \/>\nin a complete market because the \u201cnew\u201d assets must be already spanned by the original<br \/>\nmarketed assets which already provided insurance against each state. Similarly, the equilibrium under taste aggregation cannot be affected by the creation of financial securities<br \/>\nbecause the equilibrium description is completely independent of any assumptions about<br \/>\nreturns distributions (provided only that they are sufficiently well behaved so that expected<br \/>\nutility is defined).<br \/>\nThe reason is basically the same as for complete markets. If all investors have utility<br \/>\nfunctions which are sufficiently similar (e.g., exponential) to permit aggregation, then the<br \/>\nmarket must be effectively complete (Pareto optimal) even prior to the creation of the financial assets. In this case all investors agree on the \u201cshadow\u201d prices for the states not<br \/>\ninsurable with the original assets and therefore must assess the same (utility) value for any<br \/>\npossible financial asset. That is, no investor will have any motive to trade the new assets or<br \/>\nhold any amount of them in his portfolio except zero.<br \/>\nWith complete markets any possible financial asset is already in existence. With utility<br \/>\naggregation any possible financial asset (in zero net supply) is irrelevant.<\/p>\n<p><a href=\"http:\/\/www.vskills.in\/certification\/accounting-banking-and-finance\">Click here for government certification in Accounting, Banking &amp; Finance<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a single-period model it is certainly permissible to specify exogenously the joint probability distribution of the end-of-period values of the assets if we think of these assets as previously committed fixed investments which cannot be reversed &#8211; for example fields of already planted seeds. If trading takes place only at equilibrium prices, then this&#8230;<\/p>\n","protected":false},"author":625,"featured_media":31092,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_joinchat":[],"footnotes":""},"categories":[1519],"tags":[2194,1037,1770,3789],"class_list":["post-31075","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-accounting-banking-and-finance","tag-asset","tag-finance","tag-investment","tag-returns"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Returns Distributions and Financial Contracts - Vskills Blog<\/title>\n<meta name=\"description\" content=\"Financial Contracts and their return distributions. Apply for a Vskills certification in Finance now. Hurry up!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.vskills.in\/certification\/blog\/returns-distributions-and-financial-contracts\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Returns Distributions and Financial Contracts - Vskills Blog\" \/>\n<meta property=\"og:description\" content=\"Financial Contracts and their return distributions. Apply for a Vskills certification in Finance now. 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