modeling farm level crop insurance demand with panel data a random effects binomial probit model is applied to data for a panel of kansas wheat farms to examine multiple peril crop insurance demand a theoretical model is developed which suggests inclusion of the moments of both market return and the return to insurance empirical results indicate that the first and second moments of both market return and the returns to insurance are significant the price elasticity of demand is estimated to be 0 65 preseason weather variables when included in the models were not found to be significant failing to support the hypothesis of intertemporal adverse selection

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

developing variable unit structure premium rate differentials in crop insurance federal crop insurance programs offer producers the option of insuring farm units individually or as an aggregate unit existing programs offer a fixed 10 discount for most growers taking coverage at the aggregate level this article describes an analysis of risk changes when units are aggregated the methods described here which base unit aggregation discounts on observable farm characteristics are approved for implementation into the federal crop insurance program

crop insurance and disaster assistance designs for wheat and grain sorghum this study compares the effectiveness of two crop insurance and two disaster assistance program designs used in conjunction with a government commodity program and a linked crop insurance government commodity program design stochastic dominance analysis of farm level net return distributions is used to select the preferred design s the results indicate that the disaster assistance programs are preferred over the alternatives the results also suggest that individual crop insurance is preferred to area crop insurance a subsidy is required for risk averse managers to prefer area crop insurance to individual crop insurance

designing and rating an area yield crop insurance contract this article documents the design and rate making procedures used in the development of the group risk plan grp the new federal crop insurance product that insures based on area yield the authors of this article worked closely with personnel in the federal crop insurance corporation and others in developing methodological and practical constraints needed in implementing a workable area yield contract grp indemnity payments are made based on percentage shortfalls in actual county yields relative to a forecasted yield historical county yield data are used to develop forecasted yields and premium rates

evolution of the economics of agricultural policy agricultural economists helped develop farm programs to respond to the dire economic situation of the 1920s and 1930s some early authors appreciated that such policies created problems in markets for commodities and inputs over time our understanding of agricultural issues and policies has deepened through the application of improved models and tools of analysis to more extensive data we have developed better answers to old questions and have responded to changing policy instruments market contexts and policy concerns this article traces the evolution of our deepening economic understanding of the causes and consequences of agricultural policy

crop insurance policies and purchases in france while many crop insurance systems have been reformed around the world few academic researches have addressed the determinants of the decision on crop insurance at the farm s micro level in this article both the financial and the agricultural literature lead to the identification of many rationales for the crop insurance decision using data from the period 2003 2006 on a representative survey of french farms fadn rica we investigate the different factors that incite farmers to insure against crop risk we emphasize that the highest risk farms are more likely to have insurance and this decision is positively related to the past amount of claims insurance is subscribed by larger farms because insurance appears too expensive for smaller farms which are indeed naturally less diversified interestingly financial variables such as capital structure or return on investment do not significantly determine the insurance decision

testing for wage leadership processes in the chilean economy the purpose of this study is to examine the influence of government regulations on wage determination as well as the existence of a wage leadership process by public sector wages on private sector wages specifically the hypothesis to be tested by applying granger type causality test is that private sector wages have followed those of the public sector in a time path the results obtained show that the leadership role of public wages has graducally become weaker as state intervention in the labour market declined

input demand under yield and revenue insurance previous studies disagree on the effects of insurance on fertilizer application rates the effect of increased fertilizer on the probability of low yields primarily determines whether fertilizer and insurance are substitutes or complements we estimate conditional distributions of corn yields to determine if the technical relationship between yields and fertilizer supports the hypothesis that insurance increases optimal application rates our results indicate no support for this hypothesis at all nitrogen fertilizer rates and reasonable levels of risk aversion nitrogen fertilizer and insurance are substitutes suggesting that those who purchase insurance are likely to decrease nitrogen fertilizer applications

modeling conditional yield densities given the increasing interest in agricultural risk many have sought improved methods to characterize conditional crop yield densities while most have postulated the beta as a flexible alternative to the normal others have chosen nonparametric methods unfortunately yield data tends not to be sufficiently abundant to invalidate many reasonable parametric models this is problematic because conclusions from economic analyses which require estimated conditional yield densities tend not to be invariant to the modeling assumption we propose a semiparametric estimator that because of its theoretical properties and our simulation results enables one to empirically proceed with a higher degree of confidence copyright 2003 oxford university press

a quick algorithm for pricing european average options an algorithm is described that prices european average options the algorithm is tested against monte carlo estimates and is shown to be accurate the speed of the algorithm is comparable to the black scholes algorithm a closed form solution is derived for european geometric average options

the american put option valued analytically an analytic solution to the american put problem is derived herein the hedge ratio and other derivatives of the solution are presented the formula derived implies an exact duplicating portfolio for the american put consisting of discount bonds and stock sold short the formula is extended to consider put options on stocks paying cash dividends a polynomial expression is developed for evaluating these formulae values and hedge ratios for puts on both dividend and nondividend paying stocks are calculated tabulated and compared with values derived by numerical integration and binomial approximation as with european options evaluating an analytic formula is more efficient than approximating the stock price process or the partial differential equation by binomial or finite difference methods finally applications of this american put solution are discussed

optimum area yield crop insurance cet article determine le contrat optimal d assurance dont l indemnite depend du rendement agrege sur recoltes d un bassin de production le schema optimal d assurance est base sur le coefficient individuel de regression qui mesure la sensibilite du rendement agrege a des variations du rendement agrege une indemnite est versee lorsque le rendement agrege est inferieur superieur a un rendement critique si le coefficient de regression est positif negatif le contrat optimal contient une franchise evanescente si le coefficient de regression est superieur a l unite

poverty traps and index based risk transfer products summary a growing literature suggests that in low income countries households with few assets can be trapped in chronic poverty this article reviews relevant threads of the poverty traps literature to motivate a description of the opportunities presented by innovative index based risk transfer products these products can be used to address some insurance and credit market failures that contribute to the persistence of poverty among households in low income countries applications are considered at the micro meso and macro levels 2008 elsevier ltd all rights reserved

pricing european average rate currency options abstract this paper develops a simple methodology that yields closed form analytical approximations for valuing european option claims involving the arithmetic average of future foreign exchange rates the main advantage of the approach is that it avoids the need to adopt time consuming numerical procedures the precision of the resulting formula and the distributional assumption that underlies it is examined by way of monte carlo simulations jel f31

a century of research on agricultural markets this article provides a perspective on major innovations in research on agricultural markets over the past century we review research on market structure and performance vertical coordination arrangements and institutions for producer collective action contributions to empirical modeling of agricultural price determination and marketing margins are also evaluated as are innovations in research on spatial market relationships and the role of storage finally we discuss contributions to understanding market information systems and the functioning of market based mechanisms for agri

marketing quotas and random yields marginal effects of inframarginal subsidies on peanut supply the u s peanut program restricts domestic sales with poundage quota but allows surplus production to be exported or crushed empirical analysis of north carolina peanut production reveals that the marginal and lower price received by production above quota that is the world price is far more important in determining acreage than is the inframarginal subsidy of the quota support price

the analytic valuation of american options no analytic solutions exists for the valuation of american options written on futures contracts and foreign currencies for which early exercise may be optimal this article formulates the american option valuation problem in economically and mathematically meaningful ways this enables us to derive valuation formulas for american options the properties associated with the optimal exercise boundary are examined and a numerical technique to implement the valuation formulas is presented article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

insuring eggs in baskets the vast majority of crop and revenue insurance policies sold in the united states are single crop policies that insure against low yields or low revenues for each crop grown on a particular farm this practice of insuring one crop at a time runs counter to the traditional risk management practice of diversifying across several enterprises to avoid putting all of ones eggs in a single basket this paper examines the construction of whole farm crop revenue insurance programs to include livestock the whole farm insurance product covers crop revenues from corn and soybeans and livestock revenues from hog production the results show that at coverage levels of 95 percent or lower the fair insurance premiums for this product on a well diversified iowa hog farm are far lower than the fair premiums for the corn crop alone on the same farm the calculation of premium rates for the whole farm insurance product is derived from a method for imposing correlations first proposed by iman and conover in 1982

revenue insurance purchase decisions of farmers the objective of this study is to evaluate farm household and financial characteristics of cash grain farmers decisions of whether to purchase revenue insurance using farm level data these characteristics were identified by estimating a logit model of revenue insurance purchase decisions by farm operators results indicate that farm operators with the ability to self insure through accumulation of sufficient wealth reserves measured in terms of the ratio of debts to assets operators with off farm income and participation in production and marketing contracts are more likely to pursue these strategies as a substitute for federal revenue insurance programmes further study finds that older and wealthy cash grain farmers are less likely to buy revenue insurance

impact of copula choice on the modeling of crop yield basis risk a number of problems in agricultural economics involve modeling joint distributions for which the assumption of multivariate normality may not be warranted yet very little work has been conducted evaluating competing methods for modeling joint dependence we develop a simulation framework to evaluate the bias and efficiency impacts of copula choice in the context of evaluating county to farm basis risk the results suggest significant differences in performance across various copulas and approaches the findings have important implications for risk analysis insurance and policy modeling problems in agriculture regarding the selection of method to model dependence among random variables

crop yield skewness under law of the minimum technology no satisfactory motivation has been forwarded in favor of any crop yield distribution including the normal this article explores the foundations of yield distributions for the law of the minimum resource constraint technology at the plot level of analysis with independent identical uniform resource availability distributions the yield skew is positive whereas it is negative whenever the distributions are normal simulations show how asymmetries in resource availabilities determine skewness it is suggested that a negative yield skew occurs whenever production is tightly controlled so that the left tails of some resources availabilities distributions are thin irrigation may increase yield skewness copyright 2009 oxford university press

the use of the control variate technique in option pricing this paper presents a generalized version of the lattice approach to pricing options it shows how the control variate technique can produce significant improvements in the effi ciency ofthe approach the control variate technique is illustrated using american puts on dividend and nondividend paying stocks

are crop yields normally distributed the evidence for nonnormality of crop yields is reassessed three methodological problems are identified in typical yield distribution analyses i misspecification of the nonrandom components of yield distributions ii missreporting of statistical significance and iii use of aggregate timeseries ats data to represent farm level yield distributions one or more of these problems infect virtually all evidence against normality to date the positive contribution of the article is a set of principles that must be followed in any valid investigation of yield normality

smooth pasting as rate of return equalization abstract we further elucidate the smooth pasting condition behind optimal early exercise of options it is easy to show that smooth pasting implies rate of return equalization between the option and the levered position that results from exercise this yields new economic insights into the optimal early exercise condition that the option holder faces

parametric and nonparametric statistical modelling of crop yield implications for pricing crop insurance contracts this article considers alternative methods to calculate the fair premium rate of crop insurance contracts based on county yields the premium rate was calculated using parametric and nonparametric approaches to estimate the conditional agricultural yield density these methods were applied to a data set of county yield provided by the statistical and geography brazilian institute ibge for the period of 1990 through 2002 for soybean corn and wheat in the state of parana in this article we propose methodological alternatives to pricing crop insurance contracts resulting in more accurate premium rates in a situation of limited data

pricing and static hedging of american style options under the jump to default extended cev model abstract this paper prices and hedges american style options through the static hedge approach shp proposed by chung and shih 2009 and extends the literature in two directions first the shp approach is generalized to the jump to default extended cev jdcev model of carr and linetsky 2006 and plain vanilla american style options on defaultable equity are priced the robustness and efficiency of the proposed pricing solutions are compared with the optimal stopping approach offered by nunes 2009 under both the jdcev framework and the nested constant elasticity of variance cev model of cox 1975 using different elasticity parameter values second the early exercise boundary near expiration is derived under the jdcev model

the pricing of futures and options contracts on the value line index this paper considers the problems peculiar to the value line index because of its use of geometric averaging as regards the pricing of options and futures on that index the value line composite index vlci is an equally weighted geometric average index of nearly 1700 stocks the vlci futures market has existed since 1982 while the vlci options market was established in 1985 this paper provides valuation formulas and analyzes the economic properties of these contracts because of the geometric averaging in the vlci its contingent claims have special properties for example the futures price may fall short of the spot price and the value of a vlci call option may decline when the volatility of the index is increased vlci futures are shown to provide a direct means for duplicating an equally weighted portfolio of the underlying stocks the value line composite index vlci is an unweighted geometric average of stock prices expressed in index form the index on june 30 1961 was set at 100 and subsequent values are compared against it futures contracts on the vlci are traded on the kansas city board of trade kcbt they were the first stock index futures to be traded in the united states starting on february 24 1982 unlike commodity futures contracts no delivery ever takes place instead any open contracts on expiration day are settled in cash according to the actual vlci value 1 more recent market innovations are options on the vlci that have been traded on the philadelphia stock exchange pse since january

valuation of capped variable rate loan commitments abstract the early exercise of capped variable rate loan commitments is formalized as the first passage time to a critical boundary in a compound option model as early exercised commitment puts are american style options numerical procedures are used to obtain simulated values it appears from the latter that the value of the early exercise premium is nontrivial and increasing with the terms to option expiry put values are also sensitive to the volatility of credit market rates as these affect the variance of the borrower s indebtedness value

tailored to the extremes quantile regression for index based insurance contract design a new approach for weather index based insurance design based on quantile regression qr to condition the yield index dependency is developed and compared to standard regression technique three conceptual different risk measures i e expected utility expected shortfall and a spectral risk measure are used to evaluate the risk reducing properties of these contracts our findings show that qr is much more powerful in establishing the yield index dependency and lead for all risk measures to a higher risk reduction than the standard technique ordinary least squares ols thus qr leads to a more efficient contract design which is beneficial for both the insurer smaller remaining risk and the insured higher demand and willingness to pay our empirical application is based on a 31 years long time series of wheat yield data from northern kazakhstan

crop insurance in a political economy an alternative perspective on agricultural policy lawmakers often subsidize farmers in times of financial distress this article models this political impulse as a constraint on government farm policy describing how ex ante government farm insurance can deter ex post disaster relief and improve production incentives by countering the moral hazard that otherwise prevails absent ex ante government policy ex post relief takes the form of revenue insurance which prompts excessive entry into farm production and under production by operating farmers ex ante government policy can raise economic and political welfare by buying out low productivity farmers and offering profitable farmers a combination of revenue insurance price supports and a program participation fee copyright 2003 oxford university press

crop insurance valuation under alternative yield distributions considerable disagreement exists about the most appropriate characterization of farm level yield distributions yet the economic importance of alternative yield distribution specifications on crop insurance valuation has not been well documented the results of this study demonstrate that large differences in expected payouts from popular crop insurance products can arise solely from the parameterization chosen to represent yield distributions the results suggest that the frequently unexamined yield distribution specification may lead to economically significant errors in crop insurance policy rating and assessment of expected payouts from policies

coping with systemic risk in index based crop insurance the implementation of index based crop insurance is often impeded by the existence of systemic risk of insured losses we assess the effectiveness of two strategies for coping with systemic risk regional diversification and securitization with catastrophe cat bonds the analysis is conducted in an equilibrium pricing framework which allows the optimal price of the insurance and the number of traded contracts to be determined we also explore the role of basis risk and risk aversion of market agents the model is applied to a hypothetical area yield insurance for rice producers in northeast china if yields in two regions are positively correlated we find that enlarging the insured area leads to higher insurance premiums unless capital market investors are very risk averse a cat bond written on an area yield index outperforms regional diversification in terms of certainty equivalents of both farmers and insurers

asymmetry partial moments and production risk partial moment functions are proposed as a flexible way to characterize and estimate asymmetric effects of inputs on output distributions methods for econometric estimation of partial moment functions and tests for input symmetry and location scale distributions are presented a monte carlo study demonstrates properties of proposed tests a study of ecuadorian potato production illustrates the methods hypotheses of input symmetry and location scale are rejected a risk value model based on partial moments implies that fertilizer is risk increasing and fungicides and labor are risk reducing in potato production whereas an expected utility model based on full moments has the opposite implications

crop insurance acreage decisions and nonpoint source pollution the redirection of farm policy in the 1996 farm bill has generated much interest in seeking environmentally friendly and economically viable ways to protect farm income agricultural insurance has been suggested as such an instrument this article estimates the effect of crop insurance on crop mix and the resulting change in chemical use in the central nebraska basin providing corn insurance will shift land from hay and pasture to corn which will increase chemical use at the extensive margin this extensive margin effect dominates the effect of crop insurance on the application rate leading to an increase in total chemical use

the saga of the american put abstract the american put is one of the oldest problems in mathematical finance we review the development of the relevant literature over the last 40 years today the mainstream computational problems have been solved satisfactorily and the target of research is shifting towards the development of further insights into the value of timing investment decisions

autoregressive modelling and money income causality detection abstract a step wise procedure based on granger s concept of causality and abaike s final prediction error criterion is suggested as a practical means to identify the order of lags of each variable in a multivariate autoregressive process the model seems useful because it can serve as a reduced form formulation to avoid imposing often spurious or false restrictions of the model it also provides a reasonably powerful test of causality the idea is applied to u s postwar money and income data it is found that between m1 and gnp a bivariate feedback model fits the data best between m2 and gnp a one way causal model from money to income performs better diagnostic checks applied to our model seem to indicate the adequacy of our approach

an analytic approximation for the american put price black and scholes 1 derived the pricing equation for a european put when the stock price follows geometric brownian motion for this same case merton 5 derived the pricing equation for an american put with infinite time to maturity brennan and schwartz 2 rubinstein and cox 7 and parkinson 6 have developed numerical solutions for the price of an american put numerical solutions are expensive and do not provide much intuition naturally an analytic solution would be much preferred unfortunately pricing the american put requires solving a formidable and presumably intractable boundary value problem

the demand for multiple peril crop insurance evidence from montana wheat farms an econometric analysis of the demand for multiple peril crop insurance is carried out for a sample of 370 montana wheat farms the study is the first to model the farm s participation and coverage level decisions separately through heckman two stage estimation procedures these decisions are shown to be determined in different ways in addition farms with positive expected returns from insurance make coverage level decisions in different ways from farms with negative expected returns these differences indicate that adverse selection effects limit the efficacy of across the board premium rate increases as mechanisms for reducing loss ratios

is the swedish central government a wage leader is the swedish central government a wage leader this question is studied empirically in a vector error correction model using a unique high quality data set it is first shown that salaries of white collar workers in the private sector and central government are cointegrated it is then found that private sector salaries are weakly exogenous to the system of equations this means that the private sector is the wage leader in the long run model it is also found that changes in central government salaries do not granger cause changes in private sector salaries together these findings clearly demonstrate that the central government is not placing undue pressure on salaries in the private sector the central government is not acting as a wage leader

price analysis risk assessment and insurance for organic crops the agricultural risk protection act of 2000 recognized organic farming as a good farming practice making federal crop insurance coverage available for organiccrops and taking into account the idiosyncrasies of the organic production system inaddition to the production risks covered for conventional producers organic farmerswho sign up for coverage are compensated for production losses from damage due toinsects disease and or weeds however the incorporation of organic production intothe crop insurance rating structure has been limited organic producers are charged anarbitrary 5 premium surcharge over conventional crop insurance the actuarialfairness of this premium is at least questionable in addition in the case of crop failure organic farmers receive compensation based on the prices of conventionally producedcrops thus price premiums that organic producers are able to obtain in the market arenot compensated for under the current insurance policy structure the food conservation and energy act of 2008 which amends part of thefederal crop insurance act was written to investigate some of these claims requiringthe u s department of agriculture to examine the currently offered federal cropinsurance coverage for organic crops as described in the organic policy provisions of theact title xii such provisions established the need to review among other things theunderwriting risk and loss experience of organic crops determine whether significant consistent or systematic variations in loss history exist between organic and nonorganicproduction and modify the coverage for organic crops in accordance with the results here we present the major findings of three analyses we performed on keyelements of the insurance of organic crops prices yields and revenue in an effort tocontribute to the design of an organic crop insurance policy that covers organicproducers according to their idiosyncratic risks

u s soybean yields estimation and forecasting with nonsymmetric disturbances national average soybean yields are skewed with a relatively high chance of low yields maximum likelihood estimates support this hypothesis revised forecasts which account for skewed yields are positioned higher than forecasts based on the illusion of a symmetric distribution also yield instability has been increasing steadily the standard deviation of the soybean yield distribution is twenty five percent higher in the late 1980s than it was in the early 1970s

farmer response to modified crop insurance a case study of corn in indiana this study examines the potential effects on crop insurance of more detailed yield risk classifications combined with alternative premium setting techniques and higher yield guarantees combined with coinsurance corn producers in tippecanoe county indiana were surveyed for their responses to these changes response to area yield insurance is also evaluated the modified mpci program area yield insurance and two types of disaster payment programs are also compared in terms of their costs and coverage

developing experience based premium rate discounts in crop insurance this article addresses the feasibility of implementing an experience based premium rate discount system in crop insurance while adverse selection and moral hazard in crop insurance have been extensively studied in the past discount systems or bonus malus incentives have not to our knowledge been investigated our empirical analysis indicates that a crop insurance discount system could be implemented based on a measure of favorable past insurance experience the estimated average discounts based on the rating methods developed in this study ranged from 5 to 9 depending on the crop being considered

the planting real option in cash rent valuation after entering into a farmland cash rent contract in the fall a tenant farmer has flexibility over the spring crop choice and the input application level failure to account for these options will bias estimates of what farmers should pay to rent land applying monte carlo simulation methods this study investigates the option values for these choices a multivariate gaussian copula mgc is employed to account for dependence among yields and prices results show that the average cash rent valuation for the real option approach is 33 6 higher than that for the conventional net present value npv method in which the input intensity option is 0 9 crop planting sequence is shown to impact the real option value

budgetary and producer welfare effects of revenue insurance legislation passed in 1996 changed the way the u s federal government acts to reduce risks faced by u s crop products the authors compare the new alternative forms of revenue insurance to the 1990 deficiency payment program and to a no program alternative they estimate the effects of the alternative polices on the acreage allocations of a representative farm on the expected government cost and on producer welfare simulation results indicate that a revenue insurance scheme that guarantees 75 percent of expected revenue to risk averse produced could provide approximately the same level of benefits as the 1990 program at as little as one fourth the cost

the value of early exercise in option prices an empirical investigation previous studies in the valuation of american options apparently undervalue the right of early exercise this study uses actual prices from the cboe s s p 100 option instead of model generated values deviations from the theoretical put call parity relationship are caused by the possibility of early exercise these deviations are used to infer the value of early exercise the actual value of early exercise is both statistically and economically significant as expected from theoretical considerations the value of early exercise for put options is greater than for call options

is there a viable market for area based crop insurance the performance of area yield insurance and farm level multiple peril crop insurance is analyzed for cotton and soybean production in georgia and south carolina the analysis improves on many previous studies by utilizing actual farm level yield data and by comparing the two types of insurance products not only for actuarially fair premium rates but also for actual unsubsidized and subsidized premium rates results suggest that even in heterogeneous production regions area yield insurance may be a viable alternative to farm level insurance when premium rates for farm level insurance contain large positive wedges

public or private sector wage leadership an international perspective whether a government acts as a wage leader placing pressure on private sector wages more open to competition or whether it plays a passive role and merely follows wage negotiations in the private sector there are important implications for macroeconomic development particularly in small open economies and or countries that are members of a monetary union such as those of the european monetary union with the notable exception of the case of sweden opinion on this issue is still divided in this paper we look at public and private sector wage interactions from an international perspective 18 oecd countries we focus on the causal two way relationship between public and private wage setting confirming that the private sector on the whole appears to have a stronger influence on the public sector rather than vice versa however we also find evidence of feedback effects from public wage setting which affect private sector wages in a number of countries when the private sector takes the lead on wages there are few feedback effects from the public sector while public wage leadership is typically accompanied by private sector feedback effects

an analytic approximation for the american put price for options on stocks with dividends in a recent paper johnson 7 has given an analytic approximation to the american put price that delivers values that are very close to numerical solutions the limitation to the johnson approximation is that it is only applicable to put options on stocks without cash dividends this study modifies the johnson approximation to value options on stocks that have one exdividend date prior to the option expiration date and these approximation values are compared to the analytic solutions provided by the geske and johnson 6 american put option pricing model the approximation values are generally very close to the analytic solutions

private crop insurers and the reinsurance fund allocation decision this research investigates the strategic behavior of private crop insurance firms reinsured by the usda through the standard reinsurance agreement this arrangement allows the private firm to strategically allocate individual policies into different risk sharing arrangements thus firm earnings are conditioned upon accurately forecasting policy loss experience our analysis begins with models investigating the characteristics explaining the placement of policies into the assigned risk fund then a simulation model of the sra is used to compare the post sra returns of actual firm allocations to two alternative allocation strategies based on a aggregate models and a policy level econometric

the valuation of american barrier options using the decomposition technique in this paper we propose an alternative approach for pricing and hedging american barrier options speci cally we obtain an analytic representation for the value and hedge parameters of barrier options using the decomposition technique of separating the european option value from the early exercise premium this allows us to identify some new put call symmetry relations and the homogeneity in price parameters of the optimal exercise boundary these properties can be utilized to increase the computational e ciency of our method in pricing and hedging american options our implementation of the obtained solution indicates that the proposed approach is both e cient and accurate in computing option values and option hedge parameters our numerical results also demonstrate that the approach dominates the existing lattice methods in both accuracy and e ciency in particular the method is free of the di culty that existing

pricing in microinsurance markets summary microinsurance markets have exhibited strong growth rates in recent years great parts of the industry are however challenged by fundamental issues of providing insurance products one of the most significant of which is pricing risk in this paper we provide a nontechnical analysis of insurance pricing problems and a review of the set of opportunities that can address some of the specific pricing constraints in microinsurance markets a key contribution of this paper is the investigation of conventional techniques as potential solutions for improving the pricing of insurance risk in microinsurance markets

valuing agricultural insurance this paper proposes a method for estimating a farmer s stochastic discount factor that is independent of his or her risk preferences and shows that that stochastic discount factor is appropriate for calculating a farmer s willingness to pay for a crop insurance product an empirical example illustrates how production and price data might be combined with returns data to permit econometric estimation of the stochastic discount factor and the implications of those illustrative results are briefly discussed

rate making for farm level crop insurance implications for adverse selection this research identifies two problems in the new federal crop insurance that may cause adverse selection a the relationship between rate making and expected yields for individual farmers and b the bias introduced in coverage protection when trends are not used to establish expected yields a theoretical investigation using the normality assumption demonstrates the potential severity of these problems and empirical results from farm level data lend further support as crop insurance changes to individualized methods of protection these issues will be particularly important for developing rates

nonparametric estimation of crop insurance rates revisited with the crop insurance program becoming the cornerstone of u s agricultural policy recovering accurate rates is of paramount interest lack of yield data presents by far the most fundamental obstacle to recovery of accurate rates thisarticle employsnew methodology to estimate conditional yield densities and derive the insurance rates in our application we find the nonparametric kernel density estimator requires an additional twenty six years of yield data to estimate the shape of the conditional yield dens itiesasaccurately asthe recently developed empirical bayesnonparametric kernel density estimator such methodological improvements can significantly aid in ameliorating the data problem recovering accurate premium ratesis paramount to the actuarial soundness of the crop insurance program a program which hasgained prominence in the overall u s agricultural policy agenda the 1996 federal agricultural improvement and reform fair act signaled a new policy environment under which farmerswould be s to market forces under this policy regime crop insurance remains in some respects one of the only government subsidized income stabilizing mechanisms available to agricultural producers in addition it appears that current political forcesare in the proces sof fashioning crop insurance as the cornerstone of u s agricultural policy consider the 1999 state of the union address in which the president stated

estimating the prevalence and cost of yield switching fraud in the federal crop insurance program producers who manipulate and switch their reported crop yields between separately insured units can increase their insurance indemnities substantially a statistical model that identifies potential yield switching is developed the unrestricted statistical model is singular and is identified by imposing a mixture of system estimable and system nonestimable restrictions lower bound estimates of yield switching fraud incidence and costs are obtained by applying the model to 207 067 multiple unit producers who purchased crop insurance in 1998

a role for capital markets in natural disasters a piece of the food security puzzle abstract natural disaster can create significant shocks in food supplies for small country states these events are very disruptive to the development process market based means for managing natural disaster risk are emerging for example despite the failure of government subsidized crop insurance around the world it is now possible to create index based contracts that would trigger when events that create serious crop failure problems occur this paper investigates the logic for such contracts and some basic designs using measures of rainfall

an empirical examination of the pricing of american put options this study is an ex post performance test comparing the accuracy of an american model to a european model for valuing listed options specifically the geske and johnson american put valuation model is compared with the black and scholes european put model on average both models undervalue relative to market prices put options however the geske and johnson model values are significantly closer to market prices than are the black and scholes values

investigating the performance of different estimation techniques for crop yield data analysis in crop insurance applications we investigate the performance of the ordinary least squares ols m mm and the theil sen ts estimator for crop yield data analysis in crop insurance applications using monte carlo simulations more specifically the performance is assessed with respect to trend estimation prediction of future yield levels and the estimation of expected indemnity payments in agreement with earlier findings other estimators are found to be superior to ols in simple regression problems if yield distributions are outlier contaminated and heteroscedastic while this conclusion is also valid for subsequent applications such as yield prediction and the estimation of expected indemnity payments the difference between the considered estimators becomes less distinct for these applications we find particularly the m estimator to be a good compromise between high breakdown very robust estimators and the very efficient ols estimator because no regression technique dominates all others in all applications and scenarios for error term distributions our results underline that the choice of the estimation technique should be dependent on the purpose of the crop yield data analysis however alternative estimators such as m mm and ts estimator can reduce and bound the risk of unreliable or inefficient crop yield data analysis in crop insurance applications

designing optimal crop revenue insurance when the indemnity schedule is contingent on the farmer s price and individual yield an optimal crop revenue insurance contract depends only on the farmer s gross revenue however this design is not efficient if as is the case with available contracts the coverage function is based on imperfect estimators of individual yield and or price the producer s degree of prudence and the extent of basis risks have important influences on the optimal indemnity schedule in this broader context optimal protection is not provided by available u s crop insurance contracts and may include combinations of revenue insurance yield insurance futures and options contracts

on technological change in crop yields technological changes in agriculture tend to alter the mass associated with segments or components of the yield distribution as opposed to simply shifting the entire distribution upwards we propose modeling crop yields using mixtures with embedded trend functions to account for potentially different rates of technological change in different components of the yield distribution by doing so we can test some interesting and previously untested hypotheses about the data generating process of yields for example 1 is the rate of technological change equivalent across components and 2 are the probabilities of components constant over time our results technological change is not equivalent across components and probabilities tend not to have changed significantly over time have implications for modeling yields we find estimated conditional yield densities are quite different when unique trend functions are embedded inside the mixture components versus estimating the same mixture with detrended data also we prove different rates of technological change in different components lead to nonconstant variance with respect to time i e heteroscedasticity we present two applications of the proposed yield model the first application considers climate determinants of component membership where our results are consistent with the literature for climate determinants of yields the second application compares the proposed yield model to usda s current rating methodology for area yield crop insurance contracts and finds the proposed model may lead to more accurate rates

actuarial fairness of crop insurance rates with constant rate relativities increased availability and demand for low deductible crop insurance policies have increased focus on crop insurance rating methods actuarial fairness cannot be achieved if constant multiplicative factors are used to determine how premiums change as coverage levels increase a comparison of premium rates generated by the factors used by the two most popular crop insurance products with those generated by a standard yield distribution shows that the popular insurance products overcharge for low deductible policies in most counties this overpricing may explain why large premium subsidies were required to induce farmers to move from low deductible to high deductible policies beginning in 2001 crop insurance is by far the most popular risk management tool used by the u s crop producers in 2003 the u s crop insurance program insured more than 200 million acres representing more than 37 billion in value with total premium of over 3 14 billion the two most popular crop insurance products are actual production history aph which provides insurance against low yields and crop revenue coverage crc which is a revenue insurance product both of these products offer coverage in 5 increments from 65 to 85 of expected yield or revenue beginning with the 2001 crop year congress greatly increased subsidy levels to induce producers to purchase more insurance coverage producers responded as expected for example only 2 3 of kansas wheat was insured at levels in excess of 65 in 1998 this proportion rose to 71 6 in 2003 this policy change has increased focus on the methods used by the risk management agency rma of usda to set insurance rates at higher coverage levels aph premium rates are calculated by multiplying the premium rate at the 75 coverage level by a rate

the pricing of revenue assurance a theoretical model to value gross revenue assurance under one of the popular proposals facing u s policy makers is developed the approach makes use of a fundamental paradigm of asset valuation and stochastic calculus because farm level gross revenue is not a traded asset equilibrium arguments must be made to specify the partial differential equation characterizing the value of the assurance an example solution is presented under the assumption of lognormally distributed gross revenue county level data for a variety of crops are used to examine empirically the pricing ability of the model

estimating bivariate yield distributions and crop insurance premiums using nonparametric methods modelling crop yield distribution is crucial in crop insurance premium setting the correlation between different crop yields due to rotations or systemic risks requires estimation of joint yield distribution for multiple crops in this article we apply a nonparametric method to estimate bivariate yield distributions using farm level yield data of wheat and corn in shandong province in china then the simulated yields are used to evaluate the expected indemnity of one traditional and one hypothetical crop insurance programme our results reveal that the nonparametric bivariate method is very flexible in shaping the yield probability density functions to estimate local idiosyncrasies and correlation between two crops it is also feasible to simulate the nonparametric yield distributions at a satisfying level of accuracy the simulation results show that the hypothetical two crop insurance contract can be more affordable to farmers than traditional individual crop insurance contracts

genetically modified crops their market and welfare impacts a framework is developed for examining price and welfare effects of the introduction of genetically modified gm products in the short run non gm grain generally becomes another identity preserved product however more profound market effects are observed under some reasonable parameterizations when calibrated to reflect the u s corn market introducing gm technology increases aggregate welfare over a wide range of scenarios unless the corresponding production cost savings are small and consumers are seriously concerned about gm products the possibility that gm technology may reduce aggregate welfare is interesting because the model assumes rational agents and does not include regulatory constraints

estimation of mixture models using cross validation optimization implications for crop yield distribution modeling a critical issue in identifying an appropriate characterization of crop yield distributions is that the best fitting distribution in an in sample framework is not necessarily the best choice out of sample this study provides a methodology for estimating flexible and efficient mixture models using cross validation that alleviates many of these associated model selection issues the method is illustrated in an application to the rating of group risk insurance products results indicate that nonparametric models often fit best in sample but are inefficient and consistently overstate true rates and vice versa for parametric models the proposed model provides unbiased rates and also has desirable efficiency properties

insurability and moral hazard in agricultural insurance markets pareto optimal and constrained pareto optimal all risk insurance contracts are studied conditions required for emergence of competitive insurance markets are isolated and discussed full insurance contracts are shown to be dominated by contracts involving coinsurance and deductibles if insurers are pseudo risk averse the effect of moral hazard on all risk agricultural insurance indemnity schedules is examined results for indemnity schedules under moral hazard and constant absolute risk aversion show that providing farmers with the incentives to take appropriate actions may imply lower deductibles in the presence of moral hazard than in the absence of moral hazard

toward a normative theory of crop yield skewness while the preponderance of empirical studies point to negative crop yield skewness in a wide variety of contexts the literature provides few clear insights on why this is so the purpose of this paper is to make three points on the matter we show formally that statistical laws on aggregates do not suggest a normal yield distribution we explain that whenever the weather conditioned mean yield has diminishing marginal product then there is a disposition toward negative skewness in aggregate yields this is because a high marginal product in bad weather states stretches out the left tail of the yield distribution relative to that of the weather distribution turning to disaggregated yields we decompose unconditional skewness into weather conditioned skewness plus two other terms and study each in turn

bayesian estimation of possibly similar yield densities implications for rating crop insurance contracts the agricultural act of 2014 solidified insurance as the cornerstone of u s agricultural policy the congressional budget office 2014 estimates that this act will increase spending on agricultural insurance programs by 5 7 billion to a total of 89 8 billion over the next decade in light of the sizable resources directed toward these programs accurate rating of insurance contracts is of the utmost importance to producers private insurance companies and the federal government unlike most forms of insurance agricultural insurance is plagued by a paucity of spatially correlated data a novel interpretation of bayesian model averaging is used to estimate a set of possibly similar densities that offers greater efficiency if the set of densities are similar while seemingly not losing any if the set of densities are dissimilar simulations indicate that finite sample performance in particular small sample performance is quite promising the proposed approach does not require knowledge of the form or extent of any possible similarities is relatively easy to implement admits correlated data and can be used with either parametric or nonparametric estimators we use the proposed approach to estimate u s crop insurance premium rates for area type programs and develop a test to evaluate its efficacy an out of sample game between private insurance companies and the federal government highlights the policy implications for a variety of crop state combinations consistent with the simulation results the performance of the proposed approach with respect to rating area type insurance in particular small sample performance remains quite promising

spatio temporal modeling of agricultural yield data with an application to pricing crop insurance contracts this article presents a statistical model of agricultural yield data based on a set of hierarchical bayesian models that allows joint modeling of temporal and spatial autocorrelation this method captures a comprehensive range of the various uncertainties involved in predicting crop insurance premium rates as opposed to the more traditional ad hoc two stage methods that are typically based on independent estimation and prediction a panel data set of county average yield data was analyzed for 290 counties in the state of parana brazil for the period of 1990 through 2002 posterior predictive criteria are used to evaluate different model specifications this article provides substantial improvements in the statistical and actuarial methods often applied to the calculation of insurance premium rates these improvements are especially relevant to situations where data are limited

pricing american options under the constant elasticity of variance model and subject to bankruptcy this paper proposes an alternative characterization of the early exercise premium that is valid for any markovian and diffusion underlying price process as well as for any parameterization of the exercise boundary this new representation is shown to provide the best pricing alternative available in the literature for medium and long term american option contracts under the constant elasticity of variance model moreover the proposed pricing methodology is also extended easily to the valuation of american options on defaultable equity and possesses appropriate asymptotic properties

relaxing heteroscedasticity assumptions in area yield crop insurance rating this article focuses on the effect of differing heteroscedasticity assumptions on derived premium rates of area yield crop insurance tests of the proportional and absolute heteroscedasticity assumptions are conducted using both in sample and out of sample measures our results suggest that arbitrarily imposing a specific form of heteroscedasticity or homoscedasticity in insurance rate calculations limits actuarial soundness our results have practical implications for the federal crop insurance programs as we reject the traditional rating assumptions for many cotton regions and lower yielding higher risk corn and soybean counties but not in the heart of the cornbelt copyright 2011 oxford university press

systemic risk reinsurance and the failure of crop insurance markets without affordable reinsurance private crop insurance markets are doomed to fail because systemic weather effects induce high correlation among farm level yields defeating insurer efforts to pool risks across farms using an empirical model of the u s crop insurance market we find that u s crop insurer portfolios are twenty to fifty times riskier than they would be otherwise if yields were stochastically independent across farms we also find that area yield reinsurance contracts would enable crop insurers to cover most of their systemic crop loss risk reducing their risk exposure to levels typically experienced by more conventional property liability insurers copyright 1997 oxford university press

spatial market integration in the presence of threshold effects a large body of research has evaluated price linkages in spatially separate markets much recent research has applied models appropriate for nonstationary data such analyses have been criticized for their ignorance of transactions costs which may inhibit price adjustments and thus affect tests of integration this analysis utilizes threshold autoregression and cointegration models to account for a neutral band representing transactions costs we evaluate daily price linkages among four corn and four soybean markets in north carolina nonlinear impulse response functions are used to investigate dynamic patterns of adjustments to shocks our results confirm the presence of thresholds and indicate strong support for market integration though adjustments following shocks may take many days to be complete in every case the threshold models suggest much faster adjustments in response to deviations from equilibrium than is the case when threshold behavior is ignored a large amount of empirical research has evaluated the extent to which spatially separate markets are integrated though the term is used loosely in the literature tests of market integration usually consider the extent to which shocks are transmitted among spatially separate markets the integration of markets can have important implications for price discovery and the operation of the market since persistent deviations from integration may imply riskless profit opportunities for spatial traders