Capital Allocation Rules and Acceptance Sets

2020 ◽  
Author(s):  
Gabriele Canna ◽  
Francesca Centrone ◽  
Emanuela Rosazza Gianin

2020 ◽  
Vol 14 (4) ◽  
pp. 759-781
Author(s):  
Gabriele Canna ◽  
Francesca Centrone ◽  
Emanuela Rosazza Gianin


2020 ◽  
Author(s):  
Gabriele Canna ◽  
Francesca Centrone ◽  
Emanuela Rosazza Gianin


Author(s):  
Gabriele Canna ◽  
Francesca Centrone ◽  
Emanuela Rosazza Gianin


2020 ◽  
Vol 23 (01) ◽  
pp. 2050009
Author(s):  
FRANCESCA CENTRONE ◽  
EMANUELA ROSAZZA GIANIN

We introduce the definition of set-valued capital allocation rule, in the context of set-valued risk measures. In analogy to some well known methods for the scalar case based on the idea of marginal contribution and hence on the notion of gradient and sub-gradient of a risk measure, and under some reasonable assumptions, we define some set-valued capital allocation rules relying on the representation theorems for coherent and convex set-valued risk measures and investigate their link with the notion of sub-differential for set-valued functions. We also introduce and study the set-valued analogous of some properties of classical capital allocation rules, such as the one of no undercut. Furthermore, we compare these rules with some of those mostly used for univariate (single-valued) risk measures. Examples and comparisons with the scalar case are provided at the end.



Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 175
Author(s):  
Gabriele Canna ◽  
Francesca Centrone ◽  
Emanuela Rosazza Gianin

This paper makes the point on a well known property of capital allocation rules, namely the one called no-undercut. Its desirability in capital allocation stems from some stability game theoretical features that are related to the notion of core, both for finite and infinite games. We review these aspects, by relating them to the properties of the risk measures that are involved in capital allocation problems. We also discuss some problems and possible extensions that arise when we deal with non-coherent risk measures.



1970 ◽  
Vol 10 (4) ◽  
pp. 491-499
Author(s):  
F. E. Banks

This note is an extension of several contributions to the problem of re¬source allocation in a developing economy. In separate papers, I.M.D. Little and F. Seton* have introduced a model in which labour in a developing economy cannot be shifted from the subsistence to the industrial sector at zero opportunity cost, even though this labour displays zero marginal product in its 'traditional' occupations; and in what follows this problem will be attacked via a diagramma¬tic analysis. A short appendix will treat a side issue of the topic. As Little presented the model, there was an initial amount of capital K to be divided between two sectors, the I (industrial) sector, and the C (subsistence, traditional, or agricultural) sector. In the C-sector, there is excess labour or dis¬guised unemployment, in the sense of Professor W. A. Lewis2, in that the marginal product of labour in this sector is taken as equal to zero. As it happens, however, this labour cannot be moved to the I-Sector without an increase in production in the C-sector. The reason for this is because as labour is transferred to the industrial sector, consumption per head increases in the C-sector, thus decreasing the surplus available for workers being transferred to the I-sector. The transfer can only be carried out if a surplus equal to the difference between the industrial wage in C-goods and the amount of C-goods 'released' by the C-sector is forth¬coming, and for this an increased production of C-goods (via the input of capital into the C-sector) must take place. A similar situation would exist if transferring workers required a wage differential; or if C-goods had to be exported to obtain certain types of capital goods for the labour being reallocated, and/or housing, training, etc.



Author(s):  
Iryna Nazarova

The paper considers various interpretations of the essence of equity capital. The concept of equity capital is viewed from the perspective of property as a venture capital, i. e. business property, which does not guarantee profits and dividends, and for which there is no clear schedule of returning funds to investors and shareholders. The most common equity capital components in national and foreign practice are examined and compared. It is pointed out that the equity components mainly used in Ukraine are defined by the National Accounting Standards. Alternatively, the structure of equity capital components in foreign practice relies on the Conceptual Framework of Financial Statements, but it is further detailed by national standards of each country and depends on its policy and accounting characteristics. The structure of equity capital in foreign practice may be influenced by shareholders’ decisions on the establishment of funds (additional capital), allocation of profits, transactions with treasury shares. It is made clear that in most countries equity capital components include joint stock capital, surplus reserves, and retained profit. The article reviews the classification of equity capital, viewed as the key factor, and determines its influence on accounting principles and policies. It is concluded that in regulatory documents, there are no clear lines between types of equity capital. The paper also discusses various views of scholars on equity capital arrangement. It is found that in research works, equity capital is classified based on various characteristics, but the majority of researchers consider sources of equity capital to be the main criterion. In addition, there is no consensus among academics as to what types of equity capital can be singled out by the criterion described. Taking into consideration some proposals of scholars and foreign practice related to ac- counting of equity capital, the author develops a generalized structure of equity capital which is based on the sources of capital formation and includes: invested capital, particularly registered capital (statutory and mandatory share capital), corrective capital (unpaid and withdrawn capital), additional capital (capital received from investors for stock that exceeds the par value of the stock, i.e. additional equity capital); acquired capital (assets received for free, capital formed from revaluation of assets, other capital) and reinvested capital (retained profits (uncovered losses) and surplus reserves). The above equity structure can be used to prepare financial statements in order to increase its informational value. Proposals are given on how to improve methods for accounting of equity capital, in particular accounting of additional capital invested by founders in the account entitled “Non-registered investments of owners”.





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