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作者(中文):陳冠廷
作者(外文):Chen, Guan-Ting
論文名稱(中文):單期交易成本模型中的不對稱資訊
論文名稱(外文):Asymmetric Information in one-period model with transaction cost
指導教授(中文):鄭志豪
吳慶堂
指導教授(外文):Teh, Jyh-Haur
Wu, Ching-Tang
口試委員(中文):韓傳祥
口試委員(外文):Han, Chuan-Hsiang
學位類別:碩士
校院名稱:國立清華大學
系所名稱:數學系
學號:100021601
出版年(民國):103
畢業學年度:102
語文別:中文
論文頁數:26
中文關鍵詞:內線交易者均衡解最佳策略手續費
外文關鍵詞:insiderequilibriumoptimal strategytransaction cost
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Kyle (1985) 論文中,探討單期內線交易模型,並且得到一組唯一的線
性均衡解。而我們這篇論文主要的目的是在原始的模型裡,交易的過程中
加入有手續費的情況,並且驗證其是否有線性均衡解在價格函數為線性的
假設之下。
先找出最佳策略,再利用 Market Efficiency 取期望值,透過簡單的計
算證明線性均衡解的不存在。
Kyle(1985) proposed a model of insider trading in discrete-time and continuous time, and obtained unique equilibrium. In this thesis, Our main purpose is in one-period model of Kyle to join the transaction cost in the trading process. There are an important issue about whether there exists an equilibrium as the price function is linear we discussed.
First, we find out the optimal strategy . Second, we use Market Efficiency and calculus to prove that the equilibrium does not exist.
1 Introduction 1
2 Formulation of the model: A Single Auction Equilibrium 5
3 Main Theorm 8
3.1 Optimal strategy . . . . . . . . . . . . . . . . . . 8
3.2 Solving α . . . . . . . . . . . . . . . . . . . . . 10
3.3 Solving λ . . . . . . . . . . . . . . . . . . . . . .13
3.3.1 Method 1 . . . . . . . . . . . . . . . . . . . . . 13
3.3.2 Method 2 . . . . . . . . . . . . . . . . . . . . . 18
3.3.3 Conclusion . . . . . . . . . . . . . . . . . . . . 22
[1] A. S. Kyle, Continuous auctions and insider trading, Econometrica,
vol.53, no.6, 1315-1335 (1985).
[2] B. Bouchard, Yu. M. Kabanov, N.Touzi. Option pricing by large risk
aversion utility under transaction costs. Decis. Econ. Finance, 24,
127–136 (2001).
[3] Back, Kerry, Henry Cao, and Gregory Willard. Imperfect Competition
among Informed Traders. The Journal of Finance , 2117–2155 (2000).
[4] Craig W. Holden; Avanidhar Subrahmanyam. Long-Lived Private Information and Imperfect Competition. The Journal of Finance,247-270
(1992).
[5] Craig W. Holden; Avanidhar Subrahmanyam. Risk aversion, imperfect competition, and long-lived information. Economic Letters, 181–190
(1994).
[6] F. Douglas Foster and S. Viswanathan. Strategic Trading When Agents
Forecast the Forecasts of Others. The Journal of Finance, 1437–1478
(1996).
[7] Harrison Honga, and Sven Rady. Strategic trading and learning about
liquidity. Journal of Financial Markets, 419–450 (2002).
[8] Kerry Back, Insider Trading in Continuous Time, The Review of Financial Studies, Vol. 5, No. 3, pp. 387-409 (1992)
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