medium term power planning with bilateral contracts this paper addresses the optimal management of hydropower resources on medium term the objective is to maximize the expected revenue of a producer and the decision variables are generation and forward contracts in each period for each scenario stochastic linear and nonlinear programming has been used as a framework for modeling and solution results are exposited for a norwegian power producer participating in nord pool the nordic power exchange

consumer debt stress changes in household debt and the great recession this research examines psychological debt stress and changes in household debt holdings for consumers during the great recession using data from a monthly national u s household survey covering the period 2006 through 2012 debt stress measures in the population rose by over 50 at the bottom of the recession determining relative stress for eight different types of household debt we find that noncollateralized debts are more stressful than collateralized debt and that during the recession the composition of debt shifted away from collateralized debt and toward noncollateralized our empirical results show that women and hispanics experienced higher measured levels of stress jel d12 d18 i introduction in the latter part of the twentieth century household debt began to rise to high levels in the united states accompanying this there was an upsurge in reports concerning psychological debt stress coming from financial and family counselors health care professionals employers and others these reports pointed to a wide range of health family and job problems for americans arising from this increase in debt after 2007 events in the housing market marked the onset of the great recession and financial crisis many households faced declining home prices and foreclosure as well as changes in other asset values and incomes there was a general tightening of credit and changes in some lending practices by banks here we seek to add additional understanding to changes in consumer debt stress 1 during the great recession by relating them to changes in eight different types of debt holdings during this period we use data covering 2006 through 2012 from the consumer finance monthly survey cfm a national random telephone survey of household finances taken on a monthly basis from a cross

forward contracts for the operation of an electricity industry under spot pricing a study is reported of the use of forward contracts as risk instruments for electricity industries operating under spot pricing forward contracts involve financial transactions or commitments which relate to a physical trade at a later time instance price setting and appropriate participant responses are discussed simulation studies are used to demonstrate that forward contracts offer participants an opportunity to reduce their risk exposure without removing the incentive to respond to higher spot prices

can small victories help win the war evidence from consumer debt management abstract the question of how people should structure goal directed activity to maximize the likelihood of goal attainment is one of theoretical and practical significance in particular should people begin by attempting relatively easy tasks or more difficult ones how might these differing strategies affect the likelihood of completing the overarching goal the authors examine this question in the context of an important goal for a large number of consumers getting out of debt using a data set obtained from a debt settlement firm they find that 1 closing debt accounts is predictive of debt elimination regardless of the dollar balance of the closed accounts whereas 2 the dollar balance of closed accounts is not predictive of debt elimination when controlling for the fraction of accounts closed these findings suggest that completing discrete subtasks might motivate consumers to persist in pursuit of a goal the authors discuss implications for goal pursuit generally and for consumer debt managemen

forward contracting and selling price determination for a retailer to procure the electric energy to be sold to its clients a retailer has to face two major difficulties while buying electric energy it must cope with uncertain pool prices or sign forward contracts at higher average prices while selling electricity it should handle the uncertainty of the end user demand and the fact that customers might choose a different retailer if the selling price is not competitive enough we propose a risk constrained stochastic programming framework to decide which forward contracts the retailer should sign and at which price it must sell electricity so that its expected profit is maximized at a given risk level the developed model takes into account the elastic behavior of end users with respect to the selling price offered by the retailer a realistic case study illustrates the methodology proposed

funded pensions and intergenerational and international risk sharing in general equilibrium we explore intergenerational and international risk sharing in a general equilibrium multiple country model with two tier pensions systems the exact design of the pension system is key for the way in which risks are shared over generations the laissez faire market solution fails to provide an optimal allocation because the young cannot share in the financial risks however the existence of wage indexed bonds combined with a pension system with a fully funded second tier that pays defined wage indexed benefits can reproduce the first best if wage indexed bonds are not available mimicking the first best is not possible except under special circumstances we also explore whether national pension funds want to deviate from the first best by increasing domestic equity holdings with wage indexed bonds this incentive is absent while there is indeed such an incentive when wage indexed bonds do not exist

optimal involvement in futures markets of a power producer this paper addresses the optimal involvement in a futures electricity market of a power producer to hedge against the risk of pool price volatility the considered trading horizon spans one whole year recognizing the highly uncertain nature of future pool prices a stochastic programming framework with recourse is used to model this decision making problem the resulting problem is a large scale mixed integer linear programming problem scenario reduction techniques are used to make this problem tractable risk is properly modeled using the cvar methodology results from a realistic case study are provided and analyzed some conclusions are finally drawn

intergenerational risk sharing via social security when financial markets are incomplete this paper develops an overlapping generations model with stochastic production and incomplete markets to assess whether the introduction of an unfunded social security system can lead to a pareto improvement even if the initial equilibrium is neither production ine cient in the spirit of diamond 1965 nor dynamically ine cient in the spirit of samuelson 1957 when returns to capital and wages are imperfectly correlated and subject to aggregate shocks then the consumption variance of all generations can be reduced if private markets or government policies enable them to pool their labor and capital incomes a social security system that endows retired households with a claim to labor income may serve as an e ective tool to share aggregate risk between gener

optimal long run fiscal policy constraints preferences and the resolution of uncertainty we construct a computational dynamic stochastic overlapping generations general equilibrium model with uncertain lifetimes and explore the impact of policy stickiness specifically a major reform will preclude future reforms for a generation on optimal long run fiscal policy under such circumstances entitlement reforms exhaust a valuable option to move in the future we explore the conditions under which the gain to waiting is large enough to induce optimizing policymakers to delay reforming a suboptimal system we also allow for the uncertainty to have arch characteristics and explore the impact of time varying uncertainty on the optimality of delayed policy action

modeling the revolving revolution the debt collection channel abstract we investigate the role of information technology it in the collection of delinquent consumer debt we argue that the widespread adoption of it by the debt collection industry in the 1990s contributed to the observed expansion of unsecured risky lending such as credit cards our model stresses the importance of delinquency and private information about borrower solvency the prevalence of delinquency implies that the costs of debt collection must be borne by lenders to sustain incentives to repay debt it mitigates informational asymmetries allowing lenders to concentrate collection efforts on delinquent borrowers who are more likely to repay jel d14 d82 g21 l84 m15 o33

offering strategies and simulation of multi item iterative auctions of energy contracts the objective of this work is threefold we firstly present an optimization model for a price taker hydrothermal generation company genco to devise bidding strategies in multi item iterative auctions of long term contracts the bidding model calculates a bidder s best response function which takes into account the key issues on the auctioned contracts such as its time horizon the risk factors that affect the future contract outcomes interdependence between auctioned products and the agents risk profile the risk profile of the gencos are represented as piecewise linear utility functions and a practical specification approach is proposed we finally present a simulator of a uniform pricing and iterative multi item contract auction where the set of auction rules is implemented and the optimization model developed is used to determine the gencos s best responses at each auction round the simulator enables auctioneers and generators to estimate the auction s competitive equilibrium price and to study the auction dynamics a real multiproduct descending clock auction is simulated for the brazilian power system under the proposed bidding scheme

scenario reduction for futures market trading in electricity markets to make informed decisions in futures markets of electric energy stochastic programming models are commonly used such models treat stochastic processes via a set of scenarios which are plausible realizations throughout the decision making horizon of the stochastic processes the number of scenarios needed to accurately represent the uncertainty involved is generally large which may render the associated stochastic programming problem intractable hence scenario reduction techniques are needed to trim down the number of scenarios while keeping most of the stochastic information embedded in such scenarios this paper proposes a novel scenario reduction procedure that advantageously compares with existing ones for electricity market problems tackled via two stage stochastic programming

the pre programme earnings dip and the determinants of participation in a social programme implications for simple programme evaluation strategies the key to estimating the impact of a programme is constructing the counterfactual outcome representing what would have happened in its absence this problem becomes more complicated when agents such as individuals firms or local governments self select into the programme rather than being exogenously assigned to it this paper uses data from a major social experiment to identify what would have happened to the earnings of self selected participants in a job training programme had they not participated in it we investigate the implications of these earnings patterns for the validity of widely used before after and difference in differences estimators

designing social security a portfolio choice approach public social security systems may provide diversification of risks to individuals life time income capturing that a pay as you go program paygo may be considered as a quasiasset we study the optimal size of the social security program as well as the optimal split between a funded part and a paygo part by means of a theoretical portfolio choice approach a low yielding paygo system can benefit individuals if it contributes to hedge other risks to their lifetime resources moreover a funded part of the social security system can be justified by potential imperfections to the individuals free access to the stock market numerical calculations for sweden norway the us and the uk demonstrate that the optimal size of paygo part of the pension program varies considerably in response to differences in projected growth rates and the correlation between stock returns and growth our calculations suggest that a paygo program has an important role in the three former countries but not in the u k

new evidence on credit card borrowing and repayment patterns i introduction credit cards have become a major factor in the economic life of american households credit card debt has been growing significantly since the 1990s and revolving credit now stands at approximately 800 billion 1 problems stemming from the recent economic downturn have put a renewed focus on credit cards new laws regulating the industry have recently gone into effect and further legislative action is under consideration publicly available datasets have not previously contained information on payoff rates therefore typically only one side of credit card behavior i e the borrowing side has been examined here we use data from a new survey the consumer finance monthly cfm that contains complete payoff as well as borrowing information and this allows us to capture both sides of consumers credit card behavior we first use these data to examine the debt and payoff of consumers by age category while credit card debt has been rising for virtually all socioeconomic and demographic groups there has been special concern about the rising debts of younger consumers specific measures aimed at young card users were enacted under the new credit card accountability responsibility and disclosure act of 2009 these provisions include prohibiting credit card banks from soliciting with giveaways within 1 000 feet of a college campus and requiring official parental permission for underage credit card holders 2 increased availability of credit and changing consumption patterns as well as marketing efforts have all played some role in the rising debt of younger cardholders wang and xiao 2008 we also use the new data to examine the impact of raising minimum required payments the 2005 bankruptcy abuse prevention and consumer protection act led to increases in minimum required payments and this trend has accelerated during the recent economic downturn as banks have tightened credit conditions for many consumers our data allow us to estimate the percentage by which actual payoff rates increase when required minimum payment rates are changed consumer debt has traditionally been analyzed within the fisher framework of consumption smoothing over the life cycle this framework relies on the underlying assumption that consumers will indeed successfully repay over time the debt acquired earlier in life however the introduction of credit cards with the feature of flexible repayment may have changed the traditional patterns of consumption smoothing and debt repayment for many u s households especially for younger households here we examine credit card behavior in a synthetic cohort approach which incorporates a time dimension to build profiles of these behaviors for different birth cohorts a two way fixed effect pseudo panel data model is used to characterize both the cohort effects and the time effects the results show that younger american consumers are indeed borrowing more heavily and repaying at lower rates on credit cards than earlier generations the accumulation of credit card debt is found to continue over the life cycle if these trends persist there would be a substantial buildup of credit card debt for the younger generations at a later period in their life we also find that raising minimum required payments increases actual repayment rates more than proportionately this latter finding provides useful information for issues of anchoring on minimum required payments that have been raised by previous researchers the article proceeds as follows section ii briefly reviews relevant previous research section iii discusses the data and descriptive statistics section iv presents the econometric model and estimation procedure section v presents the empirical findings for debt and payoff rates and the impact of raising minimum required payments finally section vi summarizes and gives conclusions ii previous research in the absence of payoff rate data much of the previous research in this area has focused on the borrowing side of credit card behavior

pensions and intergenerational risk sharing in general equilibrium we investigate intergenerational risk sharing in two pillar pension systems with a pay as you go pillar and a funded pillar the funded pension pillar can be either defined contribution or defined benefit only a defined benefit scheme with an appropriate investment policy establishes optimal intergenerational risk sharing we show how the pension system affects capital markets in general and the equity premium in particular

the impact of investors risk aversion on the performances of capacity remuneration mechanisms abstract this paper analyses the impact of risk aversion on the performances of capacity remuneration mechanisms with investors facing an uncertain peak load three market designs are studied for this purpose a competitive energy only market a capacity market and a strategic reserve mechanism a simulation model based on system dynamics is developed in order to represent investment decisions and analyse the behaviour of each market design risk aversion is modelled through the computation of conditional value at risk the results are discussed in terms of impact on the reliability ability to limit shortages and cost total generation costs of the studied market designs when comparing the three market designs the capacity market seems to be the least affected by the introduction of risk aversion both in terms of cost and reliability this result suggests that implementing a capacity market is preferable in order to deal with the adverse effects of risk aversion given the simulations and parameters that were used

weekly self scheduling forward contracting and pool involvement for an electricity producer an adaptive robust optimization approach abstract this paper addresses the optimization under uncertainty of the self scheduling forward contracting and pool involvement of an electricity producer operating a mixed power generation station which combines thermal hydro and wind sources and uses a two stage adaptive robust optimization approach in this problem the wind power production and the electricity pool price are considered to be uncertain and are described by uncertainty convex sets to solve this problem two variants of a constraint generation algorithm are proposed and their application and characteristics discussed both algorithms are used to solve two case studies based on two producers each operating equivalent generation units differing only in the thermal units characteristics their market strategies are investigated for three different scenarios corresponding to as many instances of electricity price forecasts the effect of the producers approach whether conservative or more risk prone is also investigated by solving each instance for multiple values of the so called budget parameter it was possible to conclude that this parameter influences markedly the producers strategy in terms of scheduling profit forward contracting and pool involvement these findings are presented and analyzed in detail and an attempted rationale is proposed to explain the less intuitive outcomes regarding the computational results these show that for some instances the two variants of the algorithms have a similar performance while for a particular subset of them one variant has a clear superiority

risk sharing across generations without publicly owned equities abstract the u s social security trust fund currently invests in government bonds investing some of it instead in equities while continuing to pay social security benefits under existing rules would alter potentially improve the sharing of financial risks across non trading generations this paper shows that the same risk sharing can be achieved without direct government ownership of equities if instead the government places a linear and symmetric tax on risky private capital returns this equivalence is very robust and holds even if some agents are endogenously borrowing constrained

a rational economic model of paygo tax rates abstract we argue that paygo rates are determined by a representative agent and a benevolent government jointly maximizing the expected life time utility of the agent the distributions of labor and capital income are calculated from national data on real gdp real wages and the real return to capital since 1950 with uniform risk aversion predicted rates explain 83 of the variance of observed rates the globalization of capital markets would lead to convergence of paygo rates our results are immune to crises like 2008

population aging social security and fiscal limits abstract we use an overlapping generations olg life cycle model with distortionary taxation on labor and capital to derive a threshold dependency ratio i e a point in the cross section distribution of the population beyond which tax revenues can no longer sustain the planned level of transfers to retirees we quantify the level of the threshold the distance of the economy from the threshold and the probability of reaching the threshold at some point in the future the model is calibrated on the united states and fourteen european countries which have dependency ratios among the highest in the world we examine the effects on the threshold and welfare of a number of policies often advocated to improve the sustainability of pension systems new tax data on dynamic laffer effects are provided

optimization of electricity retailer s contract portfolio subject to risk preferences when an electricity retailer faces volume risk in meeting load and spot price risk in purchasing from the wholesale market conventional risk management optimization methods can be quite inefficient for the management of an electricity contract portfolio in this context we develop a multistage stochastic optimization approach which accounts for the uncertainties of both electricity prices and loads and which permits the specification of conditional value at risk requirements to optimize hedging across intermediate stages in the planning horizons our experimental results based on real data from nordpool suggest that the modeling of price and load correlations is particularly important the sensitivity analysis is extended to characterize the behavior of retailers with different risk attitudes thus we observe that a risk neutral retailer is more susceptible to price related than load related uncertainties in terms of the expected cost of satisfying the load and that a risk averse retailer is especially sensitive to the drivers of the forward risk premium

distance and private information in lending we study the effects of physical distance on the acquisition and use of private information in informationally opaque credit markets using a unique data set of all loan applications by small firms to a large bank we show that borrower proximity facilitates the collection of soft information leading to a trade off in the availability and pricing of credit which is more readily accessible to nearby firms albeit at higher interest rates ceteris paribus analyzing loan rates and firms decision to switch lenders provides further evidence for banks strategic use of private information however distance erodes our lender s ability to collect proprietary intelligence and to carve out local captive markets suggesting that the requisite soft information is primarily local the author 2010 published by oxford university press on behalf of the society for financial studies all rights reserved for permissions please e mail journals permissions oxfordjournals org oxford university press

optional forward contracts for electric power markets this paper extends the idea of callable forward contracts which are potentially useful as demand side interruptible load contracts to their supply side analogues together these contracts allow market participants to take advantage of flexibility in generation or consumption to obtain a monetary benefit while simultaneously removing the risk of market price fluctuations this paper also considers the effects of strategic behavior on the part of market participants in their contract sales purchase decisions

intergenerational risk sharing and fiscal policy abstract risk sharing implications of alternative fiscal policies are compared in a stochastic production economy with overlapping generations ex ante efficiency is shown to be achievable with optimal transfers regardless of distributional concerns for crra preferences stylized real world policies notably safe debt and safe pensions are found inefficient in the direction of imposing not enough productivity risk on retirees and too much on future generations safe transfers can be rationalized as efficient if preferences display age increasing risk aversion such as habit formation the ubiquity of safe transfers suggests that governments treat the young as more risk tolerant than older cohorts

financial literacy financial education and downstream financial behaviors policy makers have embraced financial education as a necessary antidote to the increasing complexity of consumers financial decisions over the last generation we conduct a meta analysis of the relationship of financial literacy and of financial education to financial behaviors in 168 papers covering 201 prior studies we find that interventions to improve financial literacy explain only 0 1 of the variance in financial behaviors studied with weaker effects in low income samples like other education financial education decays over time even large interventions with many hours of instruction have negligible effects on behavior 20 months or more from the time of intervention correlational studies that measure financial literacy find stronger associations with financial behaviors we conduct three empirical studies and we find that the partial effects of financial literacy diminish dramatically when one controls for psychological traits that have been omitted in prior research or when one uses an instrument for financial literacy to control for omitted variables financial education as studied to date has serious limitations that have been masked by the apparently larger effects in correlational studies we envisage a reduced role for financial education that is not elaborated or acted upon soon afterward we suggest a real but narrower role for just in time financial education tied to specific behaviors it intends to help we conclude with a discussion of the characteristics of behaviors that might affect the policy maker s mix of financial education choice architecture and regulation as tools to help consumer financial behavior this paper was accepted by uri gneezy behavioral economics

credit counseling and consumer credit trajectories nonprofit credit counseling provides consumers with financial education individualized financial counseling and debt restructuring despite potential benefits relatively little is known about its efficacy this study uses administrative data to assess the relationship between counseling and consumer credit outcomes we estimate difference in difference models to analyze credit outcomes for a counseled group relative to a matched comparison group for six quarters after a baseline period we find evidence of a substantial credit shock around the time of counseling post treatment counseling is associated with a persistent reduction in debt even after accounting for bankruptcies foreclosures debt charge offs or participation in debt consolidation programs jel d12

managing the financial risks of electricity producers using options abstract electricity producers participating in electricity markets face risks pertaining to both selling prices and the availability of the production units among electricity derivatives options represent an adequate instrument to manage these risks in this paper we propose a multi stage stochastic model to determine the optimal selling strategy of a risk averse electricity producer including options forward contracts and pool trading a detailed case study highlights the advantages of an option vs a forward contract to hedge against the financial risks related to pool prices and unexpected unit failures

financial markets intermediaries and intertemporal smoothing in an overlapping generations economy with incomplete financial markets but no intermediaries there is underinvestment in safe assets in an economy with intermediaries and no financial markets accumulating reserves of safe assets allows returns to be smoothed nondiversifiable risk to be eliminated and an ex ante pareto improvement compared to the allocation in the market equilibrium to be achieved in a mixed financial system however competition from financial markets constrains intermediaries so that they perform no better than markets alone

hedging with futures contracts in a deregulated electricity industry this paper is a statistical study of direct and cross hedging strategies using futures contracts in an electricity market a comparison of the strategies is based on the standard deviation or risk of the values of the hedging positions results indicate that the use of electricity futures contracts is superior to using other related futures contracts such as crude oil

intergenerational risksharing and equilibrium asset prices in the presence of overlapping generations a social security system with contingent taxes and benefits can affect both asset prices and intergenerational risksharing in a simple model with two risky factors of production human capital owned by the young and physical capital owned by all older generations a social security system that optimally shares risks exposes future generations to a share of the risk in physical capital such a system reduces precautionary saving and increases the riskbearing capacity of the economy under plausible conditions it increases the riskless interest rate and lowers the price and risk premium of physical capital

forecasting next day electricity prices by time series models in the framework of competitive electricity markets power producers and consumers need accurate price forecasting tools price forecasts embody crucial information for producers and consumers when planning bidding strategies in order to maximize their benefits and utilities respectively this paper provides two highly accurate yet efficient price forecasting tools based on time series analysis dynamic regression and transfer function models these techniques are explained and checked against each other results and discussions from real world case studies based on the electricity markets of mainland spain and california are presented

intergenerational risk sharing in the spirit of arrow debreu and rawls with applications to social security design this paper examines the optimal allocation of risk in an overlapping generations economy it compares the allocation of risk the economy reaches naturally to the allocation that would be reached if generations behind a rawlsian veil of ignorance could share risk with one another through complete arrow debreu contingent claims markets the paper then examines how the government might implement optimal intergenerational risk sharing with a social security system one conclusion is that the system must either hold equity claims to capital or negatively index benefits to equity returns

hedging strategies in energy markets the case of electricity retailers as market intermediaries electricity retailers buy electricity from the wholesale market or self generate for re sale on the retail market electricity retailers are uncertain about how much electricity their residential customers will use at any time of the day until they actually turn switches on while demand uncertainty is a common feature of all commodity markets retailers generally rely on storage to manage demand uncertainty on electricity markets retailers are exposed to joint quantity and price risk on an hourly basis given the physical singularity of electricity as a commodity in the literature on electricity markets few articles deal on intra day hedging portfolios to manage joint price and quantity risk whereas electricity markets are hourly markets the contributions of the article are twofold first we define through a var and cvar model optimal portfolios for specific hours 3 am 6 am 12 pm based on electricity market data from 2001 to 2011 for the french market we prove that the optimal hedging strategy differs depending on the cluster hour secondly we demonstrate the significantly superior efficiency of intra day hedging portfolios over daily therefore weekly and yearly portfolios over a decade 2001 2011 our results clearly show that the losses of an optimal daily portfolio are at least nine times higher than the losses of optimal intra day portfolios

impact of unit failure on forward contracting a generating unit can sell its production in the pool facing the financial risk inherent to volatile pool prices alternatively it can sell its production through the futures market at comparatively stable but smaller average prices unlike the pool forward contracts involve an obligation to sell during a specified time period and if the unit fails it should buy energy from the pool to meet its futures market commitments hence taking into account its forced outage rate the unit should determine the appropriate mix of pool and futures market involvement so that its expected profit is maximized for a prespecified risk level on profit variability within this context this paper analyzes the impact of the degree of unavailability of the generating unit on its forward contracting decisions a detailed case study illustrates the analysis performed

risk constrained scheduling and offering strategies of a price maker hydro producer under uncertainty this paper presents a stochastic mixed integer linear programming smilp approach to maximize total expected profit of one price maker hydro producer in a pool based electricity market head dependence commitment decisions discharge ramping startup costs and forbidden zones are all effectively handled in our approach uncertainty about the competitors offers is adequately represented by residual demand curves rdcs scenarios the management of risk is suitably addressed by conditional value at risk cvar to provide the efficient frontier i e the solutions set for which the expected profit may not be augmented without enlarging the variance of profit appropriate offering strategies to the pool are also developed consisting of supply functions built for different risk levels a representative cascaded hydro system with 7 reservoirs is considered to analyze and compare risk neutral versus risk averse results

risk based assessment of the cost efficiency and the effectivity of renewable energy support schemes certificate markets versus feed in tariffs the introduction of renewable energy sources in the electricity generation mix has the potential to reduce power sector s emissions and countries dependence on imported oil climate change concerns and highly volatile oil prices have attracted governments interest and support to sustain investments in renewable energy capacity and different support policies have been implemented in many countries around the world this paper analyzes the effects of investors risk aversion on the performance of support schemes the analysis compares two policy options a feed in tariff mechanism with a certificate market system results show that while a tariff mechanism could obtain better results than a certificate market its performance is strictly dependent on regulator choices a certificate market instead permits to obtain the desired level of renewable energy market share with good cost efficiency as long as investors risk aversion is moderate moreover discounting future cash flows with higher social discount rates further benefits a certificate system making it preferable to feed in tariffs

multimarket optimal bidding for a power producer this paper considers a profit maximizing thermal producer that participates in a sequence of spot markets namely day ahead automatic generation control agc and balancing markets the producer behaves as a price taker in both the day ahead market and the agc market but as a potential price maker in the volatile balancing market the paper provides a stochastic programming methodology to determine the optimal bidding strategies for the day ahead market uncertainty sources include prices for the day ahead and agc markets and balancing market linear price variations with the production of the thermal producer results from a realistic case study are reported and analyzed conclusions are duly drawn