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| Title: | 在異質期望、訊息頻率、與跳躍風險下之期貨訂價模式
Three Essays on Futures Pricing Allowing for Expectation Heterogeneity, Information Time, and Jump Risk |
| Authors: | 王佳真
Wang, Jai Jen |
| Contributors: | 顏錫銘
Yen, Simon H.
王佳真
Wang, Jai Jen |
| Keywords: | 異質期望
資訊時間
跨期期貨部分均衡模型
跨期期貨一般均衡模型
跳躍風險
expectation heterogeneity
information time
intertemporal partial-equilibrium futures pricing model
intertemporal general-equilibrium futures pricing model
jump risk |
| Date: | 2005 |
| Issue Date: | 2009-09-17 19:23:15 (UTC+8) |
| Abstract: | 本論文目的在於探討「異質期望」(heterogeneous expectations)、「資訊密度」(information arrival intensity)、以及「跳躍風險」(jump risk) 這些因素對於期貨價格的影響，並且透由「跨期模型」(intertemporal models) 的建立，推導出具有封閉解形式的期貨價格理論公式。
誠如 Harrison and Kreps (1978) 所言：除非所有市場參與者的行為方式完全相同、而且他們都打算抱著股票直到永遠，否則「投機交易」(speculation transactions) 與「異質期望」就不可能自市場當中滅絕。有鑑於此，本論文在第二章中討論「異質期望」對於期貨價格的影響；同時為了反映交易者看法可能會隨時間演進而發生改變的可能性，「調整效果」(adjustment effects) 是本章另一個討論重點；第三、為了區別期貨契約與遠期契約的基本差異，「利率」這個隨機因子也被納入模型當中。由「部分均衡」(partial equilibrium) 觀點下具有封閉解形式的期貨價格公式來觀察，這三個重要因素以及彼此間存在著的複雜交互作用，可以協助解釋一些實證現象與重要變數之間的關係。
第三章主要是借用Clark (1973) 與Chang et al. (1988) 「資訊時間」(information time) 的概念，取代一般模型所使用的「日曆時間」(calendar time) 設定方法，並且額外納入「利率」與「便利所得」(convenience yield) 這兩個廣為一般期貨定價文獻所認定的重要隨機因素，推導出「部分均衡」觀點下的期貨價格封閉解。根據1998/7/21 至 2003/12/31 台灣期交所「台灣證券交易所總加權股價指數期貨」的實證結果來看，本章模型的定價績效不僅勝過「持有成本模型」(the cost of carry model)，也比同時考慮「利率」與「便利所得」兩個隨機因子的「日曆時間」模型要來的好。
第四章則是嘗試結合Hemler and Longstaff (1991) 的「無偏好模型」(preference-free model) 以及Merton (1976) 的「跳躍」(jumps) 設定，重新推導「一般均衡」(general equilibrium) 模型下、考慮「跳躍風險」(jump risk) 後的期貨價格封閉解。根據本章各種比較靜態與模擬分析的結果顯示，整個經濟體系或是「狀態變數」(state variables) 的安定程度，決定了市場變數間的關係；另一方面，這些關聯會因為「跳躍風險」規模的遞增 — 不管是肇因於「發生機率」(occurring probability) 或是「衝擊效果」(impulse effect) — 而變的更加不可預測。
The dissertation contains three essays on intertemporal futures pricing models allowing for heterogeneous expectations, information-time based setting, and jump risk.
As Harrison and Kreps (1978) have noted, unless traders are all identical and obliged to hold a stock forever, speculation would not extinguish in market, and heterogeneity in expectations yields whereby. The first essay develops intertemporal futures pricing formulas accounting for such reality, adjustment effect, and stochastic interest rate in a partial-equilibrium sense. The closed-form solutions show that the three factors complicated with each others can help to explain some existing empirics on relationships between futures prices and other important market variables such as indeterminate converging pattern.
The second essay extends Chang et al. (1988) option pricing model to derive futures prices with information-time based processes. Stochastic interest rate and convenience yield are also taken into account to derive closed-form formulas. According to empirical results of transaction data of TAIEX index and its corresponding TFETX futures contract through 1998/7/21 to 2003/12/31, the analytic solution performs better than the cost of carry model and its calendar-time based counterpart, especially when information arrival intensity estimates become larger.
The last essay combines Hemler and Longstaff’s (1991) preference-free model and Merton’s (1976) jump setting to measure effects from jump risk and a futures pricing formula is derived in its closed-form as well. According to miscellaneous comparative static and simulation results, the bounded degrees of state variables, or economy, affect co-varying extents among variables, while the increasing jump risk, including the size of occurring probability and its corresponding impulse effect, makes them un-tractable. |
| Reference: | Ahn, D. H., Boudoukh, J., Richardson, M. and R. F. Whitelaw, 2002, Partial adjustment or stale prices? Implications from stock index and futures return autocorrelations, Review of Financial Studies 15, 655-689.
Back, K., 1992, Insider trading in continuous time, Review of Financial Studies 5, 387-409.
Bates, D., 2000, Post-’87 crash fears in S&P 500 futures options, Journal of Econometrics 94, 181–238.
Bertsimas, D., Kogan, L., and A. W. Lo, 2000, When is time continuous? Journal of Financial Economics 55, 173-204.
Bessembinder, Hendrik, and P. J. Seguin, 1993, Price volatility, trading volume, and market depth: Evidence from futures markets, Journal of Financial and Quantitative Analysis 28, 21–40.
Bhatt, S. and N. Cakici, 1990, Premiums on stock index futures-some evidence, Journal of Futures Markets 10, 367-376.
Black, F., 1976, The pricing of commodity contracts, Journal of Financial Economics 3, 167-179.
Black, F., 1986, Noise, Journal of Finance, 41, 529–544.
Black, F. and M. Scholes, 1973, The pricing of options and corporate liabilities, Journal of Political Economy 81, 637-659.
Blattberg, R. C. and N. J. Gonedes, 1974, A comparison of the stable and student distributions as statistical model for stock prices, Journal of Business 47, 244-280.
Boyle, P., Emanuel, D., 1980, Discretely adjusted option hedges, Journal of Financial Economics 8, 259-282.
Brennan, M. J., Jegadeesh, N., and B. Swaminathan, 1993, Investment analysis and the adjustment of stock prices to common information, Review of Financial Studies 6, 799-824.
Cakici, A. and S. Chatterjee, 1991, Pricing stock index futures with stochastic interest rates, Journal of Futures Markets 11, 441-453.
Chang, C. W., Jack, S. K. Chang, and K. G. Lim, 1998, Information-time option pricing: theory and empirical evidence, Journal of Financial Economics 48, 211-242.
Chen, N., Cuny, C. J. and R. A. Haugen, 1995, Stock volatility and the levels of the basis and open interest in futures contracts, Journal of Finance 50, 281-300.
Chen, Z. and L. Epstein, 2002, Ambiguity, risk, and asset returns in continuous time, Econometrica 70, 1403-1443.
Clark, P. K., 1973, A subordinated stochastic process model with finite variance for speculative prices, Econometrica 41, 135-155.
Constantinides, G. M., 1982, Intertemporal asset pricing with heterogeneous consumers and without demand aggregation, Journal of Business 55, 253-267.
Cornell, B., 1985, Taxes and the pricing of stock index futures: Empirical results, Journal of Futures Markets 5, 89-102.
Cornell, B. and K. R. French, 1983a, The pricing of stock index futures, Journal of Futures Markets 3, 1-14.
Cornell, B. and K. R. French, 1983b, Taxes and the pricing of stock index futures, Journal of Finance 38, 675-693.
Cornell, B. and M. Reinganum, 1981, Forward and futures prices: Evidence from foreign exchange markets, Journal of Finance 36, 1035-1045.
Cox, J. C. and S. A. Ross, 1976, The valuation of options for alternative stochastic process, Journal of Financial Economics 3, 145-166.
Cox, J. C., Ingersoll, J. E., and S. A. Ross, 1981, The relation between forward prices and futures prices, Journal of Financial Economics 9, 321-346.
Cox, J. C., Ingersoll, J. E., and S. A. Ross, 1985, An intertemporal general equilibrium model of asset prices, Econometrica 53, 363-384.
Daigler, R. T. and M. K. Wiley, 1999, The impact of trader type on the futures volatility-volume relation, Journal of Finance 44, 2297-2317.
De Bondt, W. F. M. and R. Thaler, 1985, Does the stock market overreact? Journal of Finance 40, 793-805.
De Long, J. B., Shleifer, A., Summers, L. H., and Waldman, R. J., 1990, Noise trader risk in financial markets, Journal of Political Economy 98, 703-738.
Dynkin, E. B., 1965, Markov Processes, Springer, Berlin.
Duffie, D., 1996, Dynamic Asset Pricing Theory, Princeton University Press, New Jersey.
Duffie, D., Pan, J. and K. Singleton, 2000, Transform analysis and asset pricing for affine jump diffusion, Econometrica 68, 1343-1376.
Dusak, K., 1973, Futures trading and investor returns: An investigation of commodity market risk premiums, Journal of Political Economy 81, 1387-1406.
Ederington, L. H. and J. H. Lee, 1995, The short-run dynamics of the price adjustment to new information, Journal of Financial and Quantitative Analysis 30, 117-134.
Epps, T. W. and M. L. Epps, 1976, The stochastic dependence of security price changes and transaction volumes: implications for the mixture-of-distributions hypothesis, Econometrica 44, 305-321.
Eraker, B., Johannes, M. S., and N. G.. Polson, 2003, The impact of jumps in returns and volatility, Journal of Finance 53, 1269–1300.
Fama, E., 1965, The behavior of stock prices, Journal of Business 47, 244-280.
Fama, E. and K. French, 1988, Business cycles and the behavior of metals prices, Journal of Finance 43, 1075-1094.
Feller, W., 1971, An introduction to probability theory and its applications, Wiley, New York.
Figlewski, S., 1978, Market efficiency in a market with heterogeneous information, Journal of Political Economy 86, 581-597.
Flesaker, B., 1991, The relationship between forward and futures contracts: a comment, Journal of Futures Market 11, 113-115.
Foster, F. D. and S. Viswanathan, 1993, The effect of public information and competition on trading volume and price volatility, Review of Financial Studies 6, 23-56.
Foster, F. D. and S. Viswanathan 1994, Strategic trading with asymmetrically informed traders and long-lived information, Journal of Financial and Quantitative Analysis 29, 499-518.
Foster, F. D. and S. Viswanathan, 1996, Strategic trading when investors forecast the forecasts of others, Review of Financial Studies 9, 1437-1478.
Frankel, J. A. and K. A. Froot, 1990, Chartists, fundamentalists, and trading in the foreign exchange market, American Economic Review, 80, 181-185.
Frechette, D. L. and R. D. Weaver, 2001, Heterogeneous expectations of traders in speculative markets, Journal of Futures Markets 21, 429-446.
Fremault, A., 1991, Stock index futures and index arbitrage in a rational expectations model, Journal of Business 64, 523-547.
French, K., 1983, A comparison of futures and forward prices, Journal of Financial Economics 12, 311-342.
Friedman, M., 1953, Essays in Positive Economics, University of Chicago Press, Chicago.
Gibson, R. and E. S. Schwartz, 1990, Stochastic convenience yield and the pricing of oil contingent claims, Journal of Finance 45, 959-976.
Hall, J. A., Brorsen, W., and S. H. Irwin, 1989, The distribution of futures prices: A test of the stable Paretian and mixture of normals hypotheses, Journal of Financial and Quantitative Analysis 24, 105-116.
Harris, M. and A. Raviv, 1993, Differences of opinion make a horse race, Review of Financial Studies 6, 473-506.
Harrison, J. M. and D. M. Kreps, 1978, Speculative investor behavior in a stock market with heterogeneous expectations, Quarterly Journal of Economics 92, 323-336.
Heath, D., R. A. Jarrow, and A. J. Morton, 1992, Bond pricing and term structure of interest rate: A new methodology for contingent claims valuation, Econometrica 60, 77-105.
Hemler, M. L. and F. A. Longstaff, 1991, General equilibrium stock index futures prices: Theory and empirical evidence, Journal of Financial and Quantitative Analysis 26, 287-308.
Hilliard, J. E. and J. Reis, 1998, Valuation of commodity Futures and Options under stochastic convenience yields, interest rates, and jump diffusions in the spot, Journal of Financial and Quantitative Analysis 33, 61-86.
Holden, C. W. and A. Subrahmanyam, 1992, Long-lived private information and imperfect competition, Journal of Finance 47, 247-270.
Hull, J. and A. White, 1987, The pricing of options on assets with stochastic volatilities, Journal of Finance 42, 281-300.
Hull, J., 1997, Options, Futures, and other Derivatives, Prentice-Hall, Upper Saddle River.
Jarrow, R. A. and G. S. Oldfield, 1981, Forward contracts and futures contracts, Journal of Financial Economics 9, 373-382.
Johnson, H. and D. Shanno, 1987, Option pricing when the variance is changing, Journal of Financial and Quantitative Analysis 22, 143-151.
Jones, E. P., 1984, Option arbitrage and strategy with large price changes, Journal of Financial Economics 13, 91-114.
Kleidon, A. W., 1992, Arbitrage, nontrading and stale prices: October 1987, Journal of Business 65, 483-507.
Kleidon, A. W. and R. E. Whaley, 1992, One market? Stocks, futures, and options during October 1987, Journal of Finance 47, 851-877.
Klemkosky, R. C. and J. H. Lee, 1991, The intraday ex post and ex ante profitability of index arbitrage, Journal of Futures Markets 11, 291-312.
Kogan, L., Ross, R., Wang, J., and M. Westerfield, 2004, The price impact and survival of irrational traders, NBER Working papers.
Kon, S. J., 1984, Models of stock returns: a comparison, Journal of Finance 39, 147-166.
Kyle, A. S., 1985, Continuous auctions and insider trading, Econometrica 53, 1315-1335.
Leland, H., 1985, Option pricing and replication with transaction costs, Journal of Finance 40, 1283-1301.
Levy, A., 1989, A note on the relationship between forward and futures contracts, Journal of Futures Market 9, 171-173.
Linn, S. C. and B. E. Stanhouse, 2003, The Economic Advantage of Learners in a Spot/Futures Market, Journal of Futures Markets 23, 151-167.
Liu, J., Longstaff, F. A., and J. Pan, 2003, Dynamic asset allocation with event risk, Journal of Finance 58, 231-259.
Lo, A. W. and A. C. MacKinlay, 1990, When are contrarian profits due to stock market overreaction? Review of Financial Studies 3, 175-205.
MacKinlay, C., and K. Ramaswamy, 1988, Index-futures arbitrage and the behavior of stock index futures prices, Review of Financial Studies 1, 137-158.
Merton, R. C., 1976, Option pricing when underlying stock returns are discontinuous, Journal of Financial Economics 3, 125-144.
Merton, R. C., 1987, A simple model of capital market equilibrium with incomplete information, Journal of Finance 42, 483-510.
Miller, M. H., Muthuswamy, J., and R. E. Whaley, 1994, Mean reversion of Standard & Poor`s 500 index basis changes: arbitrage-induced or statistical illusion? Journal of Finance 49, 479-513.
Modest, D. M. and M. Sundaresan, 1983, The relationship between spot and futures prices in stock index futures markets: Some preliminary evidence, Journal of Futures Markets 3, 15-42.
Pan, J., 2002, The jump-risk premia implicit in options: Evidence from an integrated time-series study, Journal of Financial Economics 63, 3–50.
Paretz, P., 1972, The distributions of share price changes, Journal of Business 45, 49-55.
Ramaswamy, K. and S. M. Sundaresan, 1985, The valuation of options on futures contracts, Journal of Finance 40, 1319-1341.
Richard, S. F. and M. Sundaresan, 1981, A continuous time equilibrium model of forward prices and futures prices in a multigood economy, Journal of Financial Economics 9, 347-371.
Samuelson, P. A. 1973, Proof that properly discounted present values of assets vibrate randomly, Bell Journal of Economic and Management Science, 4, 369-374.
Schwartz, E. S., 1997, The stochastic behavior of commodity price: implications for valuation and hedging, Journal of Finance 52, 923-973.
Scott, L. O., 1987, Option pricing when the variance changes randomly: theory, estimation, and an application, Journal of Financial and Quantitative Analysis 22, 419-438.
Stein, E. M. and J. C. Stein, 1991, Stock price distributions with stochastic volatility: an analytic approach, Review of Financial Studies 4, 727-752.
Toft, K., 1996, On the mean-variance tradeoff in option replication with transactions costs, Journal of Financial and Quantitative Analysis 31, 233-263.
Vasick, O., 1977, An equilibrium characterization of the term structure, Journal of Financial Economics 5, 177-188.
Yadav, P. K. and P. F. Pope, 1994, Stock index futures mispricing: Profit opportunities or risk premia? Journal of Banking and Finance 18, 921-954.
Yen, S. H. and J. J. Wang, 2004, General equilibrium stock index futures price allowing for event risk, unpublished paper. (Submitted to Academia Economic Papers)
Yen, S. H. and J. J. Wang, 2004, Information-time based futures pricing, 2005 TKU Conference on Finance–Future Development of Scholarship and Practice, Taipei, Taiwan, R.O.C. (Submitted to Review of Securities and Futures Markets)
Yen, S. H. and J. J. Wang, 2004, Intertemporal futures pricing with heterogeneous expectations and adjustment effect, 2004 NTU International Conference on Finance–Financial Market Competition and Integration, Taipei, Taiwan, R.O.C.
Yen, S. H. and J. J. Wang, 2005, Intertemporal futures pricing with different opinions about price changes, Journal of Financial Studies, forthcoming. |
| Description: | 博士
國立政治大學
財務管理研究所
87357503
94 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0873575031 |
| Data Type: | thesis |
| Appears in Collections: | [財務管理學系] 學位論文
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