|
|
|
|
LEADER |
01000caa a22002652 4500 |
001 |
JST056863160 |
003 |
DE-627 |
005 |
20240622025643.0 |
007 |
cr uuu---uuuuu |
008 |
150324s1995 xx |||||o 00| ||eng c |
035 |
|
|
|a (DE-627)JST056863160
|
035 |
|
|
|a (JST)3690367
|
040 |
|
|
|a DE-627
|b ger
|c DE-627
|e rakwb
|
041 |
|
|
|a eng
|
084 |
|
|
|a 90A09
|2 MSC
|
084 |
|
|
|a 93E20
|2 MSC
|
084 |
|
|
|a 60G40
|2 MSC
|
084 |
|
|
|a 60J60
|2 MSC
|
100 |
1 |
|
|a Browne, Sid
|e verfasserin
|4 aut
|
245 |
1 |
0 |
|a Optimal Investment Policies for a Firm with a Random Risk Process: Exponential Utility and Minimizing the Probability of Ruin
|
264 |
|
1 |
|c 1995
|
336 |
|
|
|a Text
|b txt
|2 rdacontent
|
337 |
|
|
|a Computermedien
|b c
|2 rdamedia
|
338 |
|
|
|a Online-Ressource
|b cr
|2 rdacarrier
|
520 |
|
|
|a We consider a firm that is faced with an uncontrollable stochastic cash flow, or random risk process. There is one investment opportunity, a risky stock, and we study the optimal investment decision for such firms. There is a fundamental incompleteness in the market, in that the risk to the investor of going bankrupt cannot be eliminated under any investment strategy, since the random risk process ensures that there is always a positive probability of ruin (bankruptcy). We therefore focus on obtaining investment strategies which are optimal in the sense of minimizing the risk of ruin. In particular, we solve for the strategy that maximizes the probability of achieving a given upper wealth level before hitting a given lower level. This policy also minimizes the probability of ruin. We prove that when there is no risk-free interest rate, this policy is equivalent to the policy that maximizes utility from terminal wealth, for a fixed terminal time, when the firm has an exponential utility function. This validates a longstanding conjecture about the relation between minimizing probability of ruin and exponential utility. When there is a positive risk-free interest rate, the conjecture is shown to be false. We also solve for the optimal policy for the related objective of minimizing the expected discounted penalty paid upon ruin.
|
540 |
|
|
|a Copyright 1995 Institute for Operations Research and the Management Sciences
|
650 |
|
4 |
|a Stochastic control
|
650 |
|
4 |
|a Portfolio theory
|
650 |
|
4 |
|a Diffusions
|
650 |
|
4 |
|a Brownian motion
|
650 |
|
4 |
|a Incomplete markets
|
650 |
|
4 |
|a Insurance
|
650 |
|
4 |
|a Ruin theory
|
650 |
|
4 |
|a Optimal gambling
|
650 |
|
4 |
|a Smooth-pasting
|
650 |
|
4 |
|a Hamilton-Jacobi-Bellman equations
|
650 |
|
4 |
|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Cognitive processes
|x Decision making
|x Optimal policy
|
650 |
|
4 |
|a Economics
|x Economic disciplines
|x Financial economics
|x Finance
|x Financial investments
|x Investors
|
650 |
|
4 |
|a Physical sciences
|x Physics
|x Mechanics
|x Fluid mechanics
|x Brownian motion
|
650 |
|
4 |
|a Economics
|x Economic disciplines
|x Financial economics
|x Finance
|x Financial management
|x Financial risk
|x Investment risk
|
650 |
|
4 |
|a Economics
|x Economic policy
|x Investment policy
|
650 |
|
4 |
|a Economics
|x Microeconomics
|x Economic utility
|x Utility maximization
|
650 |
|
4 |
|a Mathematics
|x Mathematical problems
|x Boundary value problems
|x Boundary conditions
|
650 |
|
4 |
|a Economics
|x Microeconomics
|x Economic utility
|x Utility functions
|
650 |
|
4 |
|a Applied sciences
|x Engineering
|x Control engineering
|x Control systems
|x Automatic control
|x Optimal control
|
650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
|x Stochastic processes
|x Martingales
|
655 |
|
4 |
|a research-article
|
773 |
0 |
8 |
|i Enthalten in
|t Mathematics of Operations Research
|d Institute for Operations Research and the Management Sciences
|g 20(1995), 4, Seite 937-958
|w (DE-627)320435318
|w (DE-600)2004273-5
|x 15265471
|7 nnns
|
773 |
1 |
8 |
|g volume:20
|g year:1995
|g number:4
|g pages:937-958
|
856 |
4 |
0 |
|u https://www.jstor.org/stable/3690367
|3 Volltext
|
912 |
|
|
|a GBV_USEFLAG_A
|
912 |
|
|
|a SYSFLAG_A
|
912 |
|
|
|a GBV_JST
|
912 |
|
|
|a GBV_ILN_11
|
912 |
|
|
|a GBV_ILN_20
|
912 |
|
|
|a GBV_ILN_22
|
912 |
|
|
|a GBV_ILN_23
|
912 |
|
|
|a GBV_ILN_24
|
912 |
|
|
|a GBV_ILN_31
|
912 |
|
|
|a GBV_ILN_32
|
912 |
|
|
|a GBV_ILN_39
|
912 |
|
|
|a GBV_ILN_40
|
912 |
|
|
|a GBV_ILN_60
|
912 |
|
|
|a GBV_ILN_62
|
912 |
|
|
|a GBV_ILN_63
|
912 |
|
|
|a GBV_ILN_65
|
912 |
|
|
|a GBV_ILN_69
|
912 |
|
|
|a GBV_ILN_70
|
912 |
|
|
|a GBV_ILN_90
|
912 |
|
|
|a GBV_ILN_95
|
912 |
|
|
|a GBV_ILN_100
|
912 |
|
|
|a GBV_ILN_110
|
912 |
|
|
|a GBV_ILN_120
|
912 |
|
|
|a GBV_ILN_152
|
912 |
|
|
|a GBV_ILN_187
|
912 |
|
|
|a GBV_ILN_224
|
912 |
|
|
|a GBV_ILN_285
|
912 |
|
|
|a GBV_ILN_374
|
912 |
|
|
|a GBV_ILN_702
|
912 |
|
|
|a GBV_ILN_2001
|
912 |
|
|
|a GBV_ILN_2003
|
912 |
|
|
|a GBV_ILN_2005
|
912 |
|
|
|a GBV_ILN_2006
|
912 |
|
|
|a GBV_ILN_2007
|
912 |
|
|
|a GBV_ILN_2008
|
912 |
|
|
|a GBV_ILN_2009
|
912 |
|
|
|a GBV_ILN_2010
|
912 |
|
|
|a GBV_ILN_2011
|
912 |
|
|
|a GBV_ILN_2014
|
912 |
|
|
|a GBV_ILN_2015
|
912 |
|
|
|a GBV_ILN_2018
|
912 |
|
|
|a GBV_ILN_2020
|
912 |
|
|
|a GBV_ILN_2021
|
912 |
|
|
|a GBV_ILN_2026
|
912 |
|
|
|a GBV_ILN_2027
|
912 |
|
|
|a GBV_ILN_2034
|
912 |
|
|
|a GBV_ILN_2044
|
912 |
|
|
|a GBV_ILN_2048
|
912 |
|
|
|a GBV_ILN_2050
|
912 |
|
|
|a GBV_ILN_2055
|
912 |
|
|
|a GBV_ILN_2056
|
912 |
|
|
|a GBV_ILN_2057
|
912 |
|
|
|a GBV_ILN_2059
|
912 |
|
|
|a GBV_ILN_2061
|
912 |
|
|
|a GBV_ILN_2065
|
912 |
|
|
|a GBV_ILN_2068
|
912 |
|
|
|a GBV_ILN_2088
|
912 |
|
|
|a GBV_ILN_2106
|
912 |
|
|
|a GBV_ILN_2107
|
912 |
|
|
|a GBV_ILN_2108
|
912 |
|
|
|a GBV_ILN_2110
|
912 |
|
|
|a GBV_ILN_2111
|
912 |
|
|
|a GBV_ILN_2112
|
912 |
|
|
|a GBV_ILN_2113
|
912 |
|
|
|a GBV_ILN_2118
|
912 |
|
|
|a GBV_ILN_2122
|
912 |
|
|
|a GBV_ILN_2129
|
912 |
|
|
|a GBV_ILN_2143
|
912 |
|
|
|a GBV_ILN_2147
|
912 |
|
|
|a GBV_ILN_2148
|
912 |
|
|
|a GBV_ILN_2152
|
912 |
|
|
|a GBV_ILN_2153
|
912 |
|
|
|a GBV_ILN_2190
|
912 |
|
|
|a GBV_ILN_2232
|
912 |
|
|
|a GBV_ILN_2472
|
912 |
|
|
|a GBV_ILN_2938
|
912 |
|
|
|a GBV_ILN_2941
|
912 |
|
|
|a GBV_ILN_2947
|
912 |
|
|
|a GBV_ILN_2949
|
912 |
|
|
|a GBV_ILN_2950
|
912 |
|
|
|a GBV_ILN_4012
|
912 |
|
|
|a GBV_ILN_4035
|
912 |
|
|
|a GBV_ILN_4037
|
912 |
|
|
|a GBV_ILN_4046
|
912 |
|
|
|a GBV_ILN_4112
|
912 |
|
|
|a GBV_ILN_4125
|
912 |
|
|
|a GBV_ILN_4126
|
912 |
|
|
|a GBV_ILN_4242
|
912 |
|
|
|a GBV_ILN_4246
|
912 |
|
|
|a GBV_ILN_4249
|
912 |
|
|
|a GBV_ILN_4251
|
912 |
|
|
|a GBV_ILN_4305
|
912 |
|
|
|a GBV_ILN_4306
|
912 |
|
|
|a GBV_ILN_4307
|
912 |
|
|
|a GBV_ILN_4313
|
912 |
|
|
|a GBV_ILN_4322
|
912 |
|
|
|a GBV_ILN_4323
|
912 |
|
|
|a GBV_ILN_4324
|
912 |
|
|
|a GBV_ILN_4325
|
912 |
|
|
|a GBV_ILN_4326
|
912 |
|
|
|a GBV_ILN_4335
|
912 |
|
|
|a GBV_ILN_4338
|
912 |
|
|
|a GBV_ILN_4346
|
912 |
|
|
|a GBV_ILN_4392
|
912 |
|
|
|a GBV_ILN_4393
|
912 |
|
|
|a GBV_ILN_4700
|
951 |
|
|
|a AR
|
952 |
|
|
|d 20
|j 1995
|e 4
|h 937-958
|