What is it about?

Suppose an economic agent invests in only one asset. Upon arrival of an adverse shock to that one asset, the investor arrives at a loss. If we condition monies for consumption on positive returns to assets, the investor arrives at incapacity for consumption. Suppose, however, that the same investor has access to stock markets, as such can invest in more than one asset, equivalently more than one stock. If the investor invests in assets that are different (e.g. that serve different segments of society), a loss on one asset can be more than offset by a gain on another asset. The risk then, of a loss from aggregation of all investment returns decreases significantly. Absence of stock markets does not preclude investors from investing in companies. In absence, however, of stock markets, it becomes much more difficult for investors to access the best investments in an economy, and identification of firms that facilitate portfolio diversification becomes much more difficult (much less effective) and transactionally inefficient (much costlier). We arrive then at primary benefit of stock markets, namely not just opportunity to invest in companies, but rather access to portfolio diversification which is facilitated by the best investment opportunities that subsist within an economy, as such arrival at a systemic decrease to probability of a loss from investments. In Finance parlance, the desire for investments in stock markets derives from 'risk sharing', equivalently portfolio diversification benefits of stock markets. Since benefits of risk sharing are main advantage of stock markets, pricing of stocks ought be premised on risk sharing benefits of individual stocks, equivalently effects on probability of a loss from addition of a new IPO to an existing portfolio. This study provides formal theoretical evidence that neither of models that already subsist in the peer reviewed academic literature nor models adopted by practitioners premise pricing of IPOs on risk sharing benefits of individual IPOs. Entirety of stock markets then, feasibly are mispriced.

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Why is it important?

Study findings do not contradict the well received evidence that stock markets are efficient. The reasoning is as follows. IPO pricing is a one time event that precedes trading of stocks in secondary equity markets. Study findings show efficiency of aggregation of information that arrives post-IPO is not contradictory to mispricing of stocks at timing of IPO. Given mispricing of IPOs devolves from non-pricing of risk sharing benefits of IPOs, as opposed to non-pricing of information on firms' assets and liabilities, efficiency of aggregation of information on a particular stock - equivalently, efficiency of pricing of assets and liabilities - subsists at timing of IPO. Pricing of information on firms' assets and liabilities is, however, a strict subset of pricing of risk sharing benefits of IPOs. In presence then, of efficiency of pricing at timing of IPO, but yet absence of models for pricing of risk sharing benefits of IPOs, regardless an IPO is mispriced. Note that with the Capital Asset Pricing Model (CAPM) only implementable for stocks that already are priced, that neither of market betas nor the CAPM can be applied to pricing of risk sharing benefits of IPOs. If investors are rational, applying study findings, a priori, it ought be expected that stock markets systemically are overvalued. Dichotomies that have been induced between progression of real sectors and progression of stock markets in developed countries, such as the USA are consistent with the prior that stock markets systemically are overvalued. For concreteness, increase in underemployment in the USA from 17% in 2010 to a pre-pandemic realization of 24% unequivocally is inconsistent with a stock market that keeps on delivering new index records. In aggregate, study findings indicate that stock returns tend to be shaped by behavioral, as opposed to rational paradigms exactly because models that ought to facilitate rationality of pricing - models that facilitate pricing of risk sharing benefits of IPOs - have yet to be formulated. In absence of guardianship that, otherwise is facilitated by the missing models, investors are guided by subjective beliefs. Stock returns become subject then, to 'power laws', that is, forces of subjective demand and supply. Clearly, we arrive at socioeconomic importance of formulation of models that facilitate pricing of risk sharing benefits of IPOs. There exists one such work-in-progress that, at the present time, is yet to be peer reviewed published (see resources link).

Perspectives

In economics, demand feasibly is determinant of prices for goods and services, because regardless of any differences in features, two goods are substitutable for each other. In presence of differences in features, two goods that are substitutable cannot have exactly the same price, otherwise the producer of the product with more features admits inferiority of its product, clearly an irrationality. In stock markets on the contrary, two IPOs that provide exactly the same sort of risk sharing benefits are, regardless of any differences in features, expected to be priced exactly the same. If stock prices are determined by forces of demand and supply, there is arrival at the contradiction that stocks do not have any true price, a contradiction that suggests irrationality of the rubric that is stock markets. This study provides formal theoretical evidence, to wit, if IPOs are priced appropriately, IPO prices and demand for IPOs both are jointly determined by risk sharing benefits of individual IPOs. Given demand then, is not determinant of stock prices, there is arrival at rationality of the rubric that is 'stock markets'.

Dr Oghenovo A Obrimah
Fisk University

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This page is a summary of: Refining the general equilibrium relation that subsists between stock returns, and each of investors’ risk preferences and information sets, Finance Research Letters, September 2021, Elsevier,
DOI: 10.1016/j.frl.2021.102420.
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