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Bert Willems Cournot Competition, Financial Option Markets and Efficiency
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Bert Willems Long Term Contracts? l Historically: Regulators opposed long term contracts Entry might be slowed down Decrease liquidity and transparency of the spot market l Currently: Regulators more in favor of long run contracts Reduce market power (Bushnell et al.) Allow Hedging (Bankruptcy California) Security of supply issues / New Entry l Policy Question: Regulation of amount of contracts signed? Type of contracts? Options – Futures // Financial – Physical contracts? Virtual power plants / Capacity payments
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Bert Willems This paper l Strategic effect of financial call options l Generators freely decide about number of option contracts they sell l 1 Option with 1 strike price (endogenous in model) l NOT Hedging issues Entry decisions Security of supply issues Regulation = obligation to buy/sell contracts
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Bert Willems Paper = Extension of A&V l Allaz and Villa (1993) Strategic reasons to sell Futures contract = commitment to produce more in spot market Prisoners dilemma: markets become more efficient l My paper Replace Futures with Call Option l Results of A&V – my paper rely on Cournot competition (Mahenc and Salanie, 2004) Observability of the futures position (Hughes and Kao) Perfect inter-temporal arbitrage
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Bert Willems Why Options? l Why look at options? Hedge quantity risks Retailers can counter market power of generators in peak period Incomplete markets solved by options l Two types Physical options a plant is assigned to the option contract production decision is delegated to market Financial option monetary transfer production decision stays with firm
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Bert Willems Comparison with C&W (2004) CHAO & WILSON Oblige generators to sell physical call options l Perfect regulation of options sold l Entry in the contracting stage l Bundle of options one option of each strike price l Linear supply functions l Physical options Allowing for entry and imposing optimal regulation voids any comparison of contract types Non-standard assumptions on option types type of competition DISCLAIMER: My interpretation of earlier work !
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Bert Willems Solution CHAO & WILSON Oblige generators to sell physical call options l Perfect regulation of options sold l Entry in the contracting stage l Bundle of options one option of each strike price l Linear supply functions l Physical options THIS PAPER l Quantity is endogenous l Number of generators is fixed l One option one pre-specified strike price l Cournot competition l Financial options comparison with A&V
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Bert Willems Two Stage Game Contracting Stage Production Stage Generators sell k i LT-contract at a price F 12 1.5 Generators learn each other’s contracting position Generators sell q i electricity on spot market Generators payout insurance TIME Pay Off with Perfect arbitrage Financial call option = Insurance contract for prices above strike price S Payment Futures contract = Mutual Insurance against deviations of the futures price F Payment Reduced Pay Off with
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Bert Willems Second Stage l Effect of ownership of futures More aggressive behavior of generator Own reaction functions shifts out l P > S: option in the money same reaction function as with Futures l P< S: option is out the money same reaction function as standard Cournot l P=S: Several Equilibria in 2 nd stage if a lot of options are sold Futures Contracts for Firm 1Option Contracts for Firm 1
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Bert Willems First Stage l Futures increases number of futures Market share increases Spot price goes down Prisoner’s Dilemma: sell forwards l Options Multiple Nash equilibria in second stage No obvious focal point Punishment equilibria possible Assumption: generators co-ordinate on equilibrium highest price Low price: generators sell a lot of options in the first stage Risky, assumes perfect co-ordination in the N.E. High price: Lower profit in general with higher prices
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Bert Willems Conclusions l Financial Call options increase market efficiency l Comparison with futures contracts Depends on strike price High Strike price (A) Futures are better Low Strike price (B) Futures = Option Intermediate prices (C) Futures are better l Equilibrium Selection is important
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Bert Willems Extensions l Physical options vs. Financial options Two different types of property rights Prisoner’s dilemma with Physical options is not there See Working Paper l Other types of Financial insurance contracts Insurance contracts which pay relatively more when prices are high: more competitive market Work in progress
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Bert Willems Future Work: Investments + Entry l LT-contracts + Entry Lower risk (risk aversion) Retailer and entrant (partially) internalize reduction of market power l Role of options? Better hedging of quantity risks l NEEDED: Extend model with uncertainty – risk aversion
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Bert Willems Future Work: Regulation l Under-contracting by retailers W.r.t. market power mitigation and reliability Reason: missing markets Contracting is public good l Regulation of long term contracts? Should retailers / producers be obliged to buy/sell? l Role of options Options might be cheaper regulatory instruments Only put constraints on markets when there is a problem Market conform l NEEDED Model for market imperfection missing markets (Explaining under-contracting by private players) market power Model for regulation costs Asymmetric information? Incomplete contracting? Regulatory efficiency
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