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Working Papers | 1988

Risk Sensitivity in Bargaining and A Monotone Solution to Nashs bargaining Problem

Lahiri Somdeb

In this paper we show that for a new solution to Nash's bargaining problem, proposed by Lahiri (1988) ("Monotonicity with Respect to the Disagreement Point and a New Solution to Nash's Bargaining Problem", IIM, Ahmedabad, Working Paper No. 724), which satisfies monotonicity with respect to the disagreement point, an increase in risk aversion is to the player's own disadvantage and to the advantage of the opponent in the two person case; to the advantage of all opponents in the multi-person generalization. Thus it parallels results on risk-sensitivity for the Nash and Kalai-Smorodinsky solutions.

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Working Papers | 1988

Central Excise Revenues from Major Commodities and the Sources of their Growth

Gupta Anand P

Indirect taxes are the mainstay of India's tax system. The central excise duty, leviable on the production or manufacture of goods ranging from aerated waters to zip fasteners, is the single most important source of revenue, accounting for about one-third of consolidated (the Central, State and Union Territory Government) tax revenues and about one-fourth of current revenues. Ten major commodities (e.g., crude oil, motor spirit, cement) currently account for 52.6% of the total central excise duty collections. This study documents the growth in excise revenue from these commodities and examines the question of how much of the growth in excise revenue from them can be attributed to growth of tax base and how much to growth of tax rate. Four points emerge from the study. First, the cess on indigenous crude oil, levied under the provisions of the Oil Industry (Development) Act of 1974, currently makes the largest contribution (11.4% in 1987/88) to the total central excise collections. Indeed, the increase in cess collections in 1987/88 (Rs. 9,122.9 million) accounted for about one-half of the increase in that year's total excise collection! Although the base for the cess has also grown, with clearances of crude oil rising from 9.7 million tons in 1980/81 to 31.5 million tons in 1987/88 and with the base price of crude (fixed by the Government of India) rising from Rs. 203.41 per ton in 1980/81 to Rs. 1,021 per ton in 1987/99, most of the growth in revenues from the cess in recent years has resulted from growth of the cess rate-the cess rate has risen from Rs. 100 per ton during the period July 11, 1981-February 14, 1983 and Rs. 300 per ton during the period February 15, 1983-February 28, 1987 to Rs 600 per ton beginning March 1, 1987. Of the growth in cess collections between 1981/82 and 1987/88, 86% has resulted from growth of the cess rate and the balance from growth of the cess base (value of crude clearances). Second, the official data do not fully capture the incidence of excise duties on motor spirit and high speed diesel oil. This is because of the Government of India recent practice of raising resources through various devices (e.g., cost and freight surcharge, contribution to product price adjustment account) which, there is reason to believe, are akin to excise duties and get reflected in Oil Coordination Committee's resources, not in excise collections. Given the magnitude of the resources being raised, this practice may be contributing in a major way to distortions in Indian firms' decisions regarding input choices. This needs to be looked into. Third, the liberalization in cement pricing policy introduced beginning March 1982 has resulted into substantial growth in cement clearances which, in turn, have contributed to substantial growth in excise collections. Upward revisions in excise duty-from Rs 71.50-Rs 135 per ton in 1981/82 to Rs 162.75-Rs 225 per ton in 1987/88-have also made a major contribution: of the growth in excise revenues from cement between 1981/82 and 1987/88, 52.3% has resulted from growth of the tax base (value of cement clearances) and the balance from growth of the excise duty ratet. Finally, one does not see much of a growth in excise collections from sugar. This is due to the growth of tax base (value of sugar clearances) offset to a large extent (52%) by reductions in the average incidence of excise duty (excise collections as % of value of clearances) from 13.5% in 1980/81 to 8.9% in 1987/88.

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Working Papers | 1988

Multi-Item (S,s) Inventory Model with Poisson Demand, General Lead Time and Adjustable Reorder Time

N. Ravichandran and Srinivasan S K

Stochastic Multiple Item Inventory System of (S, s) type is studied with general lead time distribution and Poisson demand. The demands occur according to Poisson process for one unit of a specific item at a time. The demand types are characterised by a discrete distribution An order is placed when the inventory level drops to si. Shortages are assumed to be lost. An explicit expression is provided for the marginal distributions of the Inventory level process. Using this, the expected total cost of the inventory system is obtained explicitly. The results for the special care of instantaneous lead time are deduced from the earlier results.

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Working Papers | 1988

Behaviour of Integers: Some Peculiar Porperties

Ragunathan V

The intention of this paper is to highlight certain latent and interesting characteristics of natural numbers and their higher powers vis-a-vis the ultimate sum (single digit sum) of the digits in such integers and their higher powers, their sums and their multiples. The peculiarities owe their characteristics indeed, to the decimal system of integers. And it is the existence of such peculiarities that this paper endeavours to demonstrate. While the author is not aware of any practical use to which the interesting property of integers described in this paper could be put to, it may possibly of some interest to those involved with checks and verification of numerical solutions on computers, apart from of course the number theory buffs.

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Working Papers | 1988

Financial Ratio Patterns in Indian Manufacturing Companies: A Multivariate Analysis

Pandey I M and Bhat Ramesh

The objectives of the study were: (a) to present Indian evidence on empirical-based classification of financial ratios, and (b) to examine the intertemporal stability/change of classification of ratios so obtained for the 20 year period of 1965-66 to 1984-85. The study used data of 612 Indian companies belonging to 61 manufacturing and processing industries. The statistical methods employed included factor analysis, differential R factor analysis, correlation and percentage mean absolute deviations. The study has obtained eleven factors: (i) return on investment, (2) sales efficiency, (3) equity intensiveness, (4) short-tern liquidity, (5) current asset intensiveness, (6) cash position, (7) activity, (8) earnings appropriation, (9) financial structure, (10) interest coverage, and (11) long-term capitalisation. Thus it was indicated that there were multiple dimensions of financial phenomena traditionally grouped under liquidity, profitability, activity, and leverage. It was also shown that financial ratio patterns were reasonably stable over years.

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Working Papers | 1988

Personal Taxes, Inflation and Valuation Under Earnings Retention Reinvestment

Ragunathan V

Modigliani and Miller demonstrated the impact of corporate taxes on valuation. Miller, Jaffe and Modigliani among others further studied the impact of personal taxes on valuation. Amoako-Adu attempted to analyse the impact of dividend taxes on valuation. Hochman and Palmon studied the impact of inflation on the aggregate debt-asset ratio by incorporating the tax considerations of investors firms explicitly. Rashid and Amoako-Adu attempted a comprehensive analysis of the effect of inflation on the total market value. All these authors have outlined the essence of the impact of taxes and inflation on valuation quite correctly. However, MM's, Miller's and Hochman and Palmon's valuation models restrict themselves to the situation, where the investment is made only at time zero. When this is not the case, their model needs to be modified suitably. Amoako-Adu, and Rashid and Amoako-Adu's models were conceptually incorrect in that they ignored the effect of retentions and reinvestments of earnings on the market value of a firm. In this paper a comprehensive model is worked out to account for the effect of reinvested earnings on the market value of a firm. All the other models can be expressed as special cases of the model suggested in this paper.

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Working Papers | 1988

The Medium to Long-Term Impacts of Falling Energy Prices and Welfare Changes in Agriculture Sector

Tewari Devi D

Since the first energy price shock of 1973 a number of studies have reported the impacts of rising energy prices on agriculture sector. However, in the recent years real energy prices are falling in the international market. Casually one tends to believe that falling energy prices are good to agriculture sector but this may be falsified in the medium-to long-run situations. This paper develops a conceptual model to examine various falling energy price impacts on agriculture sector, and more specifically verifies the hypothesis by using an empirical model of Saskatchewan agriculture, Canada. Findings suggests, at least for Saskatchewan, that producers will not be better-off under falling energy price regime.

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Working Papers | 1988

Estimation Errors and Time Varying Betas in Event Studies - A New Approach

Jayanth R. Varma and Samir K. Barua

The event study is one of the most powerful techniques for studying market efficiency. Over a period of time, researchers have made several modifications to the original methodology of Fama, Fisher, Jensen and Roll (1969). Nevertheless, the current methodology continues to suffer from several grave deficiencies. These deficiencies arise due to (a) a failure to take into account the variance covariance structure of the estimated abnormal returns (across time and across securities) and (b) fundamental shortcomings of the moving window technique used to deal with possible changes in the betas in the neighbourhood of the event. Our proposed methodology overcomes these deficiencies and provides statistically efficient estimates. We then extend the analysis to handle nonstationary parameters evolving according to a Kalman Filer model.

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Working Papers | 1988

Growth of Tractors in India: Past and Future

Girja Sharan and Kayastha Sandeep

A casual, discrete, dynamic mathematical model to describe the growth of tractors in India has been proposed. It is able to describe the past pattern of growth quite closely, and yields results that are much better than possible from methods available in literature. Therefore, it has been used to outline scenarios till the year 2000. The model appears promising and needs to be tested further on independent set of data from individual states.

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Working Papers | 1988

The Max-Min Solution for Variable Threat Games

Lahiri Somdeb

In this paper we obtain general inequality properties that max-min strategic solutions to Variable Threat Games satisfy under a set of very plausible assumptions.

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