option bounds with finite revision opportunities this article generalizes the single period linear programming bounds on option prices by allowing for a finite number of revision opportunities it is shown that in an incomplete market the bounds on option prices can be derived using a modified binomial option pricing model tighter bounds are developed under more restrictive assumptions on probabilities and risk aversion for this case the upper bounds are shown to coincide with the upper bounds derived by perrakis while the lower bounds are shown to be tighter in 1984 perrakis and ryan 6 derived upper and lower bounds on european option prices in discrete time and under modest assumptions on preferences and

subjective stochastic dominance put writing and stock purchases with extensions to option pricing and portfolio composition initially an investor has the choice of two risky assets writing a european put option or buying the underlying share under broad conditions a risk averse investor will be subjectively better off writing the put when homogeneous expectations are invoked an upper bound for the put premium is obtained a numerical example using the lognormal density function illustrates the broad conditions for risk averters subjectively preferring the put writing strategy additional conditions permit this preference for writing puts to be extended to the portfolio context transactions costs only reinforce this preference in the one period horizon considered

analytical upper bounds for american option prices american options require numerical methods namely lattice models to provide accurate price estimates the computations can become expensive when more than one state variable is involved analytical upper bounds can therefore provide a useful guideline for how high american values can reach in this paper we derive analytical closed form upper bounds for american option prices under stochastic interest rates stochastic volatility and jumps where american option prices are difficult to compute with accuracy in a stochastic volatility model heston 1993 and scott 1997 that has two random factors we demonstrate that the upper bound only takes a very small fraction of the time that the american option needs to compute

upper and lower bounds of put and call option value stochastic dominance approach applying stochastic dominance rules with borrowing and lending at the risk free interest rate we derive upper and lower values for an option price for all unconstrained utility functions and alternatively for concave utility functions the derivation of these bounds is quite general and fits any kind of stock price distribution as long as it is characterized by a nonnegative beta transaction costs and taxes can be easily incorporated in the model presented here since investors are not required to revise their portfolios continuously the price that is paid for this generalization is that a range of values rather than a unique value is obtained in the last decade there has been an increasing interest in the options market by both academicians and practitioners the most well known valuation models are the black scholes 4 model the jump stochastic process model see cox and ross 6 the binomial model see cox ross and rubinstein 7 rendleman and bartler 19 and sharpe 22 and rubinstein s discrete model 21 recently perrakis and ryan 18 using rubinstein s approach have derived upper and lower bounds for option prices the relative pricing theory of contingent claims differs in the continuous time and discrete time models in a continuous time framework the instantaneous expected rate of return of the option and that of the underlying stock must follow a certain market equilibrium condition in this case the equilibrium condition is easily determined by a continuous hedging strategy in the discrete time case there is no hedging strategy to provide a simple relationship between the option and the stock price however for a given value distribution of the stock the value distribution of the option is uniquely determined by the option exercise price and this suggests some possible relationships between the stock and option values

further analysis of the effect of unions on training in a 1983 article grossman characterizes the behavior of a union as the outcome of a majority voting rule where decisions reflect the maximizing behavior of the median in terms of seniority worker along similar lines weiss 1985 models the behavior of a union as representing utility maximization on the part of the senior workers in both analyses the expected wage income ofjunior workers is below that of senior workers in grossman s analysis the lower expected wages of the less senior workers reflect the fact that they bear the brunt of the increase in the likelihood of layoffs that accompanies a higher union wage in weiss s analysis senior workers reduce the net wages of junior workers through the imposition of transfer payments the important theme of both the weiss and grossman papers is that the gain to unionization for senior workers is achieved at least in part at the expense of junior workers the weiss paper in particular reveals the importance of explicitly considering intergenerational

on option pricing bounds the purpose of this article is to compare the perrakis and ryan bounds of option prices in a single period model with option bounds derived using linear programming it is shown that the upper bounds are identical but that the lower bounds are different a comparison of these bounds together with merton s bounds and the black scholes prices in a lognormal securities market is presented the black scholes 1 option pricing model is preference free its simplicity derives from the continuous trading assumption which enables a portfolio of stock and bonds to be constructed so as to replicate the payouts of the option in an incomplete market with only finite opportunities to revise portfolios no preference free option price can be constructed 3 6 for this case preferencedependent prices can be established rather than place restrictive assumptions on preferences perrakis and ryan pr 5 have recently derived upper and lower bounds for a single and multiple period call option price the development of these bounds is based on the single price law and arbitrage arguments and requires modest assumptions on preferences the bounds exist as equilibrium values given a consensus on stock price distributions in this article we shall develop bounds for option prices based on primitive prices in incomplete markets and compare these bounds to the single period bounds derived by perrakis and ryan towards this goal we first review the pricing approach for primitive securities and proceed to re express the pr bounds as derived from their arbitrage portfolios then using linear programming bounds on option prices are derived linear programming approaches for obtaining relationships among option prices have been investigated garman 2 for example established an algebra for evaluating hedge portfolios using this algebra a one period linear program can be established that provides a way to search for arbitrage opportunities over an infinite number of portfolio strategies one of the features of the algebra is that only one linear program need be solved to determine if riskless arbitrage strategies can be established by investigating the dual of the linear program garman obtained necessary and sufficient conditions for rational option pricing in a one period setting these bounds were shown to be consistent with the bounds determined by merton 4 unlike garman s approach the linear programming approach presented here places constraints on time preferences risk aversion and state probabilities under specific sets of assumptions linear programs are formulated where the objective function to be optimized is the call price minimization and maximi

decreasing absolute risk aversion and option pricing bounds in this paper efficient bounds for the price of a call option are obtained using the decreasing absolute risk aversion dara dominance rule such lower and upper bounds are obtained minimizing and maximizing respectively the objective function of a nonlinear optimization problem an explicit formula related to an exponential utility function is given for the special case of three states of nature a large number of experiments have been carried out and the numerical results support the conjecture that the same formula holds for problems with a number of states n 3 moreover dara bounds are more efficient than the bounds obtained using different criteria

bounds on contingent claims based on several assets abstract in 1987 lo derived an upper bound on the price of a european call option on a single asset lo s bound depends only on the mean and variance of the terminal asset price and is termed a semi parametric bound this paper derives similar semi parametric bounds on a european call on the maximum of any number of assets a distribution free bound for the price of this option is obtained the bound depends only on the means and covariance matrix of the returns on n underlying assets the bound is obtained by optimizing over the entries of a positive definite matrix a this can be accomplished by a technique known as semidefinite programming we demonstrate the methodology using two specific applications the first concerns the valuation of a european call option on the maximum of several assets this is known as an outperformance option and is of some practical interest the second application concerns the valuation of a discretely adjusted lookback option these lookback options are of interest in connection with certain equity annuity insurance products

option prices and the underlying asset s return distribution this work examines the relation between option prices and the true as opposed to risk neutral distribution of the underlying asset if the underlying asset follows a diffusion with an instantaneous expected return at least as large as the instantaneous risk free rate observed option prices can be used to place bounds on the moments of the true distribution an illustration of the paper s results is provided by the analysis of the information concerning the mean and standard deviation of market returns contained in the prices of s p 100 index options although it seems natural that the prices of claims to various parts of the underlying asset s distribution should contain information about the shape of that distribution cox and ross 1976 established that an option s price equals its expected payoff discounted at the risk free rate where the expectation is taken over the risk neutral rather than the true distribution of the underlying asset linking the risk neutral distribution implicit in option prices to the true distribution remains a comparative mystery a necessary condition for the risk neutral pricing methodology to be applicable is that the true and the risk neutral distribution share a common support the only information about the true distribution that can be obtained from observed option prices alone is information about that support this paper demonstrates though that observed option prices when used in conjunction with simple assume d restrictions on the true distribution do contain information about the noncentral moments of the true distribution not directly implied by those assumed restrictions alone the intuition for the result that option prices can be useful in placing bounds on the moments of the true distribution is straightforward first we generalize the results in lo 1987 to show how the expected payoff to a call can be bounded above in terms of any chosen set of the noncentral moments of the return on the underlying asset second we establish restrictions on the

the effect of labor unions on investment in training a dynamic model control over the amount of training required of new entrants is a potentially important tool available to many craft unions this is often exercised through licensing based on schooling and apprenticeship requirements and on passing special examinations the standards are to a large extent determined and monitored by the incumbent practitioners thus physicians are required to train in various forms of schooling internship and residence for up to eight years architects need five years of schooling and three years of apprenticeship accountants require four years of college and one year of apprenticeship less widely known are the schooling and apprenticeship requirements of barbers plumbers and mine foremen which require up to five or six years of investment finally most craft unions require apprenticeship periods of two to four years see kolberg 1976

anticipated development assistance temporary relief aid and consumption behaviour of low income countries much debate about the effectiveness of foreign aid to developing countries focuses on the assumption that aid flows mainly enhance current consumption rather than being channelled into investment this paper seeks to establish what proportion of foreign assistance is used to finance current consumption the principal hypothesis to be tested is that aid transfers include very heterogeneous components with different marginal propensity to raise consumption estimating the average marginal propensity to consume of all the components of aid as is commonly done may lead to erroneous results the flow of foreign aid from high to low income countries can be classified into two types the first includes income transfers of a relief nature such as emergency and distress relief including drought related food transfers medical and refugee relief and balance of payments crisis support these transfers are generally a temporary response to unanticipated events or shocks to the economy they can be perceived as an attempt by the donor community to help finance what is denoted in the permanent income theory as transitory consumption friedman i957 in addition they can be viewed as an attempt to maintain a subsistence level of consumption by absorbing the shocks to income entirely by changes in savings the low level of savings however and the constraints on foreign borrowing lead to dependency on foreign transfers and prevent domestic savings from being the residual that is almost all of

aid and resource mobilisation in sub saharan africa the role of reverse flows abstract this article seeks to ascertain the role of reverse flows in explaining the observed limited impact of aid on resource mobilisation in sub saharan africa it departs from the previous empirical literature on aid and resource mobilisation by abandoning the pervasive but untenable assumption that aid either displaces domestic saving increases consumption or increases investment some aid is in fact used to finance reverse flows debt servicing capital flight and reserve accumulation the evidence suggests that for the period covering 1980 to 2006 nearly 50 per cent of aid to sub saharan african countries was used to finance reverse flows

aid and growth in sub saharan africa the recent experience abstract this paper presents some quantitative evidence on the relationship between foreign aid and economic growth in the low income countries of sub saharan africa two key findings are presented first aid is positively and significantly correlated with investment and economic growth in africa second fix capital formation contributed to the rate of growth this result which emerges from analyzing time series data is somewhat surprising given the disappointing performance of african countries since the early 1970s

third order extensions of lo s semiparametric bound for european call options computing semiparametric bounds for option prices is a widely studied pricing technique in contrast to parametric pricing techniques such as monte carlo simulations semiparametric pricing techniques do not require strong assumptions about the underlying asset price distribution we extend classical results in this area specifically we derive closed form semiparametric bounds for the payoff of a european call option given up to third order moment i e mean variance and skewness information on the underlying asset price we analyze how these bounds tighten the corresponding bounds when only second order moment i e mean and variance information is provided we describe applications of these results in the context of option pricing as well as in other areas such as inventory management and actuarial science

the impact of aid and public investment volatility on economic growth in sub saharan africa summary this study investigates the effects of aid inflows and the volatility of public investment on economic growth in 26 sub saharan african countries over the period from 1992 to 2011 three volatility variables comprising aid government revenue and public investment are incorporated into an aid growth model to test for their effect on economic growth using the generalized method of moments gmm technique and averaged data for five four year sub periods we show that although foreign aid has a positive impact on growth once potential endogeneity has been accounted for aid effectiveness may have been eroded by volatility in public investment

impacts of official development assistance on agricultural growth savings and agricultural imports abstract this paper explores the links between development assistance agricultural output growth and imports in 56 developing economies over the period 1974 1990 the empirical model treats agricultural growth and imports savings and aid as endogenous the analysis also accounts for differences in macroeconomic policies the results show that aid had a positive impact on agricultural growth a robust relationship exits between aid and agricultural imports consistent with the argument that aid helps industrialized countries through market expansion and strengthened trade ties

recovering an asset s implied pdf from option prices an application to crude oil during the gulf crisis we develop a general method for estimating the implied martingale equivalent probability density function pdf for futures prices from american options prices the early exercise feature of american options precludes expressing the price of the option in terms of the pdf there exist tight bounds for the price of american options in terms of the pdf we demonstrate how these bounds together with observed option prices can be used to estimate the parameters of the pdf we estimate the distribution for crude oil during the persian gulf crisis and find the distribution differs significantly from that recovered using standard techniques

aid policies and growth the authors of this paper use a new database on foreign aid to examine the relationships among foreign aid economic policies and growth of per capita gdp in panel growth regressions for 56 developing countries and 6 four year periods 1970 93 they find that the policies that have a great effect on growth are those related to fiscal surplus inflation and trade openness they construct an index for those three policies and have that index interact with foreign aid they have instruments for both aid and aid interacting with policies they find that aid has a positive impact on growth in developing countries with good fiscal monetary and trade policies in the presence of poor policies aid has no positive effect on growth this result is robust in a variety of specifications which include or exclude middle income countries include or exclude outliers and treat policies as exogenous or endogenous they examine the determinants of policy and find no evidence that aid has systematically affected policies either for good or for ill they estimate an aid allocation equation and show that any tendency for aid to reward good policies has been overwhelmed by donors pursuit of their own strategic interests in a counterfactual they reallocate aid reduce the role of donor interests and increasing the importance of policy such a reallocation would have a large positive effect on developing countries growth rates

domestic saving and international capital movements in the long run and the short run the evidence and analysis in this paper support the earlier findings of feldstein and horioka 1980 that sustained increases in domestic savings rates induce approximately equal increases in domestic rates of investment new estimates for the post opec period 1974 79 imply that each extra dollar of domestic saving increases domestic investment by approximately 85 cents in a sample of 17 oecd countries an explicit analysis of the problems of identification and simultaneous equations bias suggests that the regression estimates are more relevant as a guide to the long run response of international capital flows than to their short run behavior coefficient estimates based on annual variations in savings and investment are subject to potentially severe simultaneous equations bias that is not present when annual observations are averaged over a decade or more and the regression is estimated with a cross country sample of these averages a portfolio model of international capital allocation that is presented in the paper indicates that the short run change in the rate of net foreign investment in response to a sustained increase in domestic saving is likely to be substantially greater than the ultimate steady state response this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item

the effectiveness of aid on savings and investment in sub saharan africa do volatility and institutional quality matter abstractthe effectiveness of aid is somewhat subject to its volatility this study investigates the impact of aid volatility especially on savings and investment with a particular focus on the role of institutional quality in 45 sub saharan african ssa countries over the period from 1990 to 2013 we used the generalized method of moments gmm technique combined with a measure of volatility namely an averaged data method involving six 4 year sub periods our results suggest that while aid is positively associated with savings and investment its volatility is harmful to savings and investment however when higher quality institutions exist the volatility of aid has a less negative impact on savings and investment the policy implications are diverse first donors and ssa aid dependent countries need to take into account the diversity of shocks to which aid can respond in mitigating its unpredictability secondly ssa countries should be encouraged to establish the conditions for better quality inst

exchange rates trade liberalization and aid the sri lankan experience abstract in 1977 the sri lankan government embarked on an extensive program of liberalization an important element of which was devaluation to ensure a competitive real exchange rate the 1980s were however marked by an increasing divergence between the real and nominal exchange rates the depreciation of the latter not being matched by similar movements of the former this paper presents an econometric model of real exchange rate behavior in sri lanka among other things it is shown that increased aid inflows have made a significant contribution to the failure of the real exchange rate to match the depreciation in the nominal rate

option pricing bounds with standard risk aversion preferences abstract for a theoretical valuation of a financial option various models have been proposed that require specific hypotheses regarding both the stochastic process driving the price behaviour of the underlying security and market efficiency when some of these assumptions are removed we obtain an uncertainty interval for the option price up to now the most restrictive intervals for option prices have been obtained using the decreasing absolute risk aversion dara rule in a state preference approach precautionary saving entails the concept of prudence in particular decreasing absolute prudence is a necessary and sufficient condition that guarantees that the saving of wealthier people is less sensitive to the risk associated to future incomes if this condition is coupled with the dara assumption we obtain standard risk aversion sra which guarantees on the one hand that introducing a zero mean background risk to wealth makes people less willing to accept another independent risk and on the other hand that an increase in the risk of the returns distribution of an asset reduces the demand for this asset the main idea of this contribution is to apply decreasing absolute prudence and sra rules in a state preference context in order to obtain efficient bounds for the value of european style options portfolio strategies lower and upper bounds for the options portfolio value are obtained by solving non linear optimization problems the numerical experiments carried out show the efficiency of the technique proposed

option pricing bounds in discrete time upper and lower bounds are derived for call options traded at discrete intervals these bounds are independent of assumptions on the stock price distribution other than a restriction satisfied by the stock being non negative beta the development of the bounds relies on the single price law and arbitrage arguments both single period and multiperiod results are produced and put option bounds follow by extension the bounds exist as equilibrium values given a consensus on stock price distribution they are also valid for empirical studies being adjustable for dividends and commissions following the impetus of the black scholes pricing model the majority of option analyses have been in continuous time such approaches have relied on the formation of perfect riskless hedges involving the option its underlying security and a riskless asset since the hedge must be continuously revised and maintained while actual trading opportunities are discrete this crucial assumption limits the accuracy and applicability of the black scholes and related formulae in fact the black scholes formula can only be considered as a valid approximation to the discrete time solution merton 8 p 663 while the closeness of that approximation has not been ascertained in general 1 earlier discrete models such as boness 3 and samuelson 12 have been succeeded by those of brennan 5 cox et al 6 and rubinstein 11 in which distributional restrictions are imposed on share returns usually the discrete formula converges to the black scholes expression under appropriate limit conditions using the rubinstein 11 approach we derive upper and lower bounds for option prices with both a general price distribution and discrete trading opportunities the bounds are functions of the share and exercise prices the riskless rate of interest the distribution of the share price change per period and the number of periods of expiration of the option the lower bound is tighter than that of merton 7 derived from more general arbitrage considerations while being less exact than the results already mentioned for restricted distributions

stochastic dominance and expected utility survey and analysis while stochastic dominance has been employed in various forms as early as 1932 it has only been since 1969 1970 that the notion has been developed and extensively employed in the area of economics finance agriculture statistics marketing and operations research in this survey the first second and third order stochastic dominance rules are discussed with an emphasis on the development in the area since the 1980s

the macroeconomic impact of development aid a critical survey the early literature explained aid s macroeconomic impact in the context of the dual gap model showing a clear link between aid and growth many now believe that the empirical evidence shows there to be no such relationship this paper critically reviews the different theoretical perspectives the dual gap model the savings debate recipient fiscal response and aid as dutch disease and the empirical debates on aid savings and growth the basis for denying a relationship between aid and growth is shown to be weak though more recent areas of research offer promising directions for future work

on stochastic dominance and decreasing absolute risk averse option pricing bounds merton perrakis and ryan levy and ritchken have established option pricing bounds under first and second stochastic dominance preferences these bounds are particularly important for valuing contingent claims when continuous trading in the claim and or underlying security does not exist this article provides option bounds under higher orders of dominance specifically option bounds are obtained by solving mathematical programs where preference structures on prices are represented by constraints for first second third and higher orders of stochastic dominance preferences the special linear structure of the mathematical programs allow analytical solutions to be obtained for the bounds for dara preferences third order stochastic dominance while being necessary is not sufficient and additional constraints must be imposed unfortunately these additional constraints are nonlinear while in this case closed form analytical solutions for the option bounds are not obtained numerical examples are presented to illustrate their strength

does concessionary aid lead to higher investment rates in low income countries goedde alan g u s multinational manufacturing firms the determinants and effects of foreign investment ph d dissertation duke university 1978 grubaugh stephen g the process of direct foreign investment working paper bentley college aug 1986 helpman elhanan a simple theory of international trade with multinational corporations journal of political economy 3 june 1984 451 471 horst thomas firm and industry determinants of the decision to invest abroad an empirical study this review 54 aug 1972 258 266 at home abroad a study of domestic and foreign operations of the a merican food processing industry cambridge ma ballinger 1974 hymer stephen h the international operations of national firms a study of direct foreign investment ph d dissertation m i t published by m i t press 1976 judge george g r carter hill william e griffiths helmut lutkepohl and tsoung chao lee introduction to the theory and practice of econometrics new york john wiley and sons 1982 macdougal g d a the benefits and costs of private investment from abroad a theoretical approach economic record 36 mar 1960 13 35 markusen james r multinationals multiplant economies and the gains from trade journal of international economics 3 4 may 1984 205 226 pindyck robert s and daniel l rubinfeld econometric models and economic forecasts second edition new york mcgraw hill 1981 rugman allen m inside the multinationals the economics of internal markets new york columbia university press 1981 vaupel james w and joan p curhan the making of multinational enterprise cambridge division of research graduate school of business administration harvard university 1969

equilibrium pricing in incomplete markets given the exogenous price process of some assets we constrain the price process of other assets that are characterized by their final payoffs we deal with an incomplete market framework in a discrete time model and assume the existence of the equilibrium in this setup we derive restrictions on the state price deflators these restrictions do not depend on a particular choice of utility function we investigate numerically a stochastic volatility model as an example our approach leads to an interval of admissible prices that is more robust than the arbitrage pricing interval

economic growth export and external debt causality the case of african countries empirical investigation of the export driven economic growth hypothesis has provided mixed results in a bivariate causality framework the problem with such bivariate causality analysis is that there can be an omitted variable which could adversely affect the results this paper looks at the trivariate causality analysis of african countries by introducing external deby servicing as a third variable in the export economic growth analysis the results indicate that there is a feedback or bidirectional causality between external debt servicing economic growth and exports evidence of the 1983 90 subperiod is consistent with the argument that the structural adjustment programmes which were designed to remove economic distortions promote exports and encourage external debt management increased growth in the countries involved

stochastic dominance bounds on derivatives prices in a multiperiod economy with proportional transaction costs by applying stochastic dominance arguments upper bounds on the reservation write price of european calls and puts and lower bounds on the reservation purchase price of these derivatives are derived in the presence of proportional transaction costs incurred in trading the underlying security the primary contribution is the derivation of bounds when intermediate trading in the underlying security is allowed over the life of the option a tight upper bound is derived on the reservation write price of a call and a tight lower bound is derived on the reservation purchase price of a put these results jointly impose tight upper and lower bounds on the implied volatility

union wages temporary lay offs and seniority it is widely believed that the seniority system in conjunction with the collective bargaining process contributes significantly to the determination of the unemployment level in unionized sectors causa i empiricism suggests that real wage demands often remain buoyant in these sectors in the face of seemingly high rates of unemployment among union members james medoff 1979 p 380 convincingly documents the evidence that adjustment through lay offs is substantially greater in unionized firms than in comparable non unionized firms the usual but somewhat informal explanation is that the outcome of union voting is greatly influenced by senior workers who are fairly certain that they will not be laid off when normal shifts in the industry s demand for labour occur 2 these inframarginal workers are believed to vote for higher wage settlements than they would if their own jobs were not so secure

politics and the effectiveness of foreign aid abstract critics of foreign aid programs have long argued that poverty reflects government failure in this paper i test predictions for aid effectiveness based on an analytical framework that relates aid effectiveness to political regimes i find that aid does not significantly increase investment nor benefit the poor as measured by improvements in human development indicators but it does increase the size of government the impact of aid does not vary according to whether recipient governments are liberal democratic or highly repressive but liberal political regimes and democracies ceteris paribus have on average 30 lower infant mortality than the least free regimes this may be due to greater empowerment of the poor under liberal regimes even though the political elite continues to receive the benefits of aid programs an implication is that short term aid targeted to support new liberal regimes may be a more successful means of reducing poverty than current programs

aid growth and devolution summary this paper examines whether the degree of fiscal decentralization in aid receiving countries matters in explaining aid effectiveness the decentralization theorem predicts that the devolution of powers should increase aid effectiveness since local decision makers are better informed about local needs thereby decentralization may also have reverse effects e g through coordination problems excessive regulation administrative costs and local capture we use panel data for up to 60 countries and find that aid contributes to economic growth in centralized developing economies whereas it is less effective or even harmful in decentralized countries the cases of indonesia the philippines and uganda support our findings our results imply that donor countries should carefully consider how the two development instruments foreign aid and decentralization interact

economic growth in africa abstract this paper draws on the recent endogenous growth methodology to study the factors behind differences in per capita growth rates across africa the results indicate that various economic factors including initial conditions investment population growth trade orientation inflation financial development and the growth of the government sector contribute significantly to economic growth in addition to economic variables we find the degree of political freedom to be a significant contributor to economic growth finally we find some evidence that economic growth by the members of the cfa franc zone has not fared well in comparison to other african countries