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Working Papers | 1989

The Existence and Continuity of Utility Functions: A New Proof

Jayanth R. Varma

It is well known that the existence of a countable order dense subset is necessary and sufficient for a preference order to be representable by a utility function, and that this condition is also sufficient for the utility function to be continuous with respect tot he order topology. While the modern proof of the first part of this result is based on a theorem of Cantor on ordered sets, the proof of continuity is usually based on a theorem of Debreu in real analysis. This paper seeks to eliminate this appeal to real analysis, and show that the proof of continuity requires only the order structure of the reals and does not need any metric or algebraic properties of the reals. We also show that any continuous preference ordering on a separable topological space with an at most countable number of connected components is representable by a continuous utility function thereby relaxing the usual assumption that the space be connected.

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Working Papers | 1989

Where Utility Functions Do Not Exist - A Note on Lexicographic Orders

Jayanth R. Varma

There seems to be some amount of confusion in the finance text books regarding the conditions under which an individual's preferences can be represented by a utility function. Fama and Miller, for example, assert that two axioms (comparability and transitivity) are sufficient to establish the existence of a utility function (when the set of alternatives is Rn). This is totally false: a real valued utility function need not exist even in the single good case (R1). One might hope that a vector valued utility might exist (with lexicographic ordering of the utility vector); but this is not the case. Indeed we cannot salvage the situation even by allowing the utility to be a vector in Rn) (i.e. to have an (countably) infinite number of components); only an uncountable number of real components can do the job. None of these results are new, but they do not seem to be sufficiently well known to researchers in finance. This may be because the original papers are mathematically forbidding or because they are scattered in sources somewhat removed form the mainstream finance literature. If that be so, this note should be of some help; some of our proofs and examples are new and hopefully more elementary (for example we avoid taking recourse to Sierpinski's lemma).

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Working Papers | 1989

Mega Projects Implementation: Issues for Top Management (Experiences from IFFCOs Aonla Fertiliser Project)

P. R. Shukla and Tripathy Arabinda

This paper presents to management issues in implementation of mega projects. In recent years, several large projects are implemented in the country. Considerable wealth of indigenous experience and knowledge is emerging in the country in this area. Attempt is made in this paper to highlight conceptual issues in large project implementation. Spectrally representing tot he implementation practices at one such large project, namely IFFCO's fertiliser project at Aonla, on HBJ pipeline.

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Working Papers | 1989

Equilibrium Pricing of Special Bearer Bonds

Jayanth R. Varma

In 1981, the Government issued Special Bearer Bonds under a scheme which allowed people to invest their black money in these bonds and enjoy freedom from investigations and prosecutions for tax evasion in respect of their holdings of these bonds. Through these bonds are no longer available in tap, there is an active secondary market for these bonds; the complete anonymity of these bearer bonds has helped to make them quite liquid. This paper derives equilibrium prices of these bonds in the secondary market. The entire analysis is carried out in a continuous time framework using the mixed Wiener-Poisson process; the Capital Asset Pricing Model (CAPM) is employed in a modified form which accounts for the fact that, for black money investors, investment in any asset other than the bearer bond involves the risk of tax penalties in addition to the usual investment risks. The existence of the bearer bond helps to analyze the impact of black money on the capital market in general; in this setting it is shown that the pricing of risky assets relative to each other and relative to the white risk free bonds is unaffected by the presence of black money. This provides justification for using the CAPM in corporate finance and portfolio management in a capital market like India where black money is widespread. Out results can be useful for estimating the magnitude of black money and the degree of tax enforcement; it can also help the Government in pricing any fresh issues of such bonds in future.

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Working Papers | 1989

Motives, Abilities and Attitudes of an Entrepreneur - Some Propositions

Swamy Ranjini

In this paper, we have conceptualized the entrepreneurial process as comprising of three stages --the decision to become an entrepreneur, which field to be an entrepreneur in, and the actual creation of an organization. Each stage makes certain demands on an entrepreneur. This paper examines some of these demands. The entrepreneur has to cope with the demands of the entrepreneurial process. For this, he requires certain motives, abilities and attitudes. This paper attempts to drive propositions regarding what motives, abilities and attitudes an entrepreneur may require. It also briefly tries to explain how these qualities may develop in an entrepreneur.

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Working Papers | 1989

Public Finance Aspects of Indian Agriculture

Gupta Anand P

A much disturbing aspect of Indian agriculture relates to its relatively small contribution to the country's public sector funds. Another equally, if not more, disturbing aspect of Indian agriculture relates to its rapidly growing demands on the country's public finances. This paper first reviews both of these aspects and then addresses itself to the issue of what may happen if things on the two fronts in question keep on going the way they currently are. The paper reveals that just three items of public spending on agriculture-central fertilizer subsidy, electricity subsidy and irrigation subsidy-account for nearly one-fourth of the increase in India's public sector deficit in recent years. The contribution of the agricultural sector to recent increases in India's public sector deficit, if other such items (e.g., credit subsidy, crop insurance losses, state fertilizer subsidies) are taken into account, will turn out to be far more daunting. According to the paper, a vicious circle seems to have already set in. the policymakers have justified agricultural subsidies on the ground of the country's poor's inability to pay market prices for food. But subsidies, by promoting inefficiencies in the use of inputs, have had the effect of raising input intensity of farm output and thereby of raising the costs of food production. This, in turn, has led to demands for more fiscal favours. What is more, the regime of subsidies has also encouraged rent-seekers to get what they can from the system, with politicians seeking high-profile new projects, not proper maintenance of existing systems, and farmers employing political pressure to get what giveaways they can, rather than organizing for improved agricultural extension services. All this has contributed to rapidly-rising fiscal outgoes. The above vicious circle urgently needs to be broken; otherwise it will keep pushing India inexorably towards a situation of rising public sector deficits-a situation which may pose the following major risks, or a combination or them, for the Indian economy during the 1990s: substantially higher real interest rates, crowding out of some investment, lower growth rates, debt trap, substantially higher inflation rates, and excessive external debit service burden.

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Working Papers | 1989

Technology Acquisition and Assimilation in a Fertilizer Firm: A Case Study of GNFC

Chaudhari Shekhar

International technology transfer has for long been an important source of technical know-how for Indian firms. In recent times the importance of this sources of know-how has increased substantially because of the increasing trend toward liberalization of the Government's policies. Case histories of firms based on imported technology reveal that the process of technology transfer is quite complex, successful management of this process of technology transfer is quite complex. Successful management of this process in many cases may be extremely important for the overall success of a firm. But little research has been done on understanding process. This paper is an attempt at understanding the process of technology transfer and development in the chemical industry through an in depth case study of the Gujarat Narmada Valley Fertilizer Company, Bharuch, Gujarat.

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Working Papers | 1989

Perspectives on Mangement Training of Women Managers in Africa

Parikh Indira J

This paper is based on a series of workshops and seminars held in Africa on issues of management training for women managers and trainers. Like many third world countries many nations of Africa have focused on economic growth through industrialization. Industrialization leads to creation of formal organizations. This entry confronts women with new interfaces with people and systems. The traditional processes are inadequate and insufficient to interface with structures, systems and people in formal work settings. Organizations employ women based on task requirements. But they get caught with dilemmas of assigning women tasks and the expectations of their behaviour anchored in social structures and processes. Management training programmes require space to explore these new interfaces which both women mangers and organizations face. This paper identifies some of the broader societal context of Africa in which these issues exist. It highlights some of the findings from the research and seminar with both men and women employers as well as women managers. It then identifies implications and directions for further research and training so that both men and women managers in organizations can evolve relevant models of learning.

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Working Papers | 1989

Problems and Prospects of Leasing Industry in India

Brahmaiah B

This paper focuses mainly on the growth, problems and prospects of leasing industry in India. It starts with the definition and classification of leasing. The major problem areas identified include resource crunch, income and sales tax, rigid procedure for import leasing, lack of accounting standards and legislative constraints. Finally, the paper concludes that the prospects of leasing are high because of the high potential in market and expected healthy growth of the leasing industry.

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Working Papers | 1989

An Overview of Pesticides Industry and Marketing Environment

Srivastava Uma Kant and Patel N T

This paper attempts to highlight the growth of the pesticides industry, changes in the product mix, market concentration, flow of materials, problems of various constituents and the emerging marketing scenario. The Pesticides Industry has grown by 7.6% during the last 20 years. It has also undergone structural changes from low value products to high value specialty products. The use of pesticides is concentrated in selected districts of a few states like Andhra Pradesh, Karnataka, Gujarat and Punjab. It was observed that bulk of the pesticides used in agriculture were accounted for by crops like cotton and paddy. The major constituents of pesticides industry are technical grade material manufacturers, formulators and dealers. About 84.5% of the total production of technical pesticides is concentrated with 16 companies only. Of these 16 companies, 13 have the bulk of the market share of the products group dealt by them. There is vast scope for accelerating consumption of pesticides by diversifying to hitherto untapped regions and crops. This calls for a major market developments effort on the part of industry. The industry is presently dependent on distributors and dealers to push their products. The industry will have to generate guidelines for economical use of pesticides to crops grown in disadvantaged regions.

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