A monetary value for initial information in portfolio optimization

被引:60
作者
Amendinger, J
Becherer, D
Schweizer, M
机构
[1] Hypo Vereinsbank AG, Int Mkt, Equ Linked Prod, D-81925 Munich, Germany
[2] Univ London Imperial Coll Sci & Technol, Dept Math, London SW7 2BZ, England
[3] LMU Munchen, Inst Math, D-80333 Munich, Germany
关键词
initial enlargement of filtrations; utility maximization; value of information; martingale preserving measure; predictable representation property;
D O I
10.1007/s007800200075
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
We consider an investor maximizing his expected utility from terminal wealth with portfolio decisions based oft the available information flow. This investor faces the opportunity to acquire some additional initial information g. His subjective fair value of this information is defined as the amount of money that he can pay for 9 such that this cost is balanced out by the informational advantage in terms of maximal expected utility. We study this value for common utility functions in the setting of a complete market modeled by general semimartingales: The main tools are a martingale preserving change of measure and martingale representation results for initially enlarged filtrations.
引用
收藏
页码:29 / 46
页数:18
相关论文
共 22 条
[1]   Additional logarithmic utility of an insider [J].
Amendinger, J ;
Imkeller, P ;
Schweizer, M .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1998, 75 (02) :263-286
[2]   Martingale representation theorems for initially enlarged filtrations [J].
Amendinger, J .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2000, 89 (01) :101-116
[3]  
[Anonymous], 1980, PROBABILITES POTENTI
[4]  
BECHERER D, 2001, THESIS TU BERLIN
[5]   The fundamental theorem of asset pricing for unbounded stochastic processes [J].
Delbaen, F ;
Schachermayer, W .
MATHEMATISCHE ANNALEN, 1998, 312 (02) :215-250
[6]  
Denis L, 2000, LECT NOTES MATH, V1729, P198
[7]  
ELLIOT RJ, 1997, STOCHASTICS STOCHAST, V60, P185
[8]  
FOLLMER H, 1993, ANN I H POINCARE-PR, V29, P569
[9]  
Grorud A., 1998, INT J THEORETICAL AP, V01, P331, DOI [DOI 10.1142/S0219024998000199, 10.1142/S0219024998000199]
[10]  
GRORUD A, 2001, INT J THEOR APPL FIN, V4, P285