Optimal investment / L.C.G. Rogers.

Author/creator Rogers, L. C. G.
Format Electronic
Publication InfoBerlin ; New York : Springer,
Descriptionx, 156 pages : illustrations (some color) ; 24 cm.
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International
Subjects

SeriesSpringerBriefs in quantitative finance, 2192-7006
SpringerBriefs in quantitative finance. UNAUTHORIZED
Contents 1. The Merton Problem -- Introduction -- The Value Function Approach -- The Dual Value Function Approach -- The Static Programming Approach -- The Pontryagin-Lagrange Approach -- When is the Merton Problem Well Posed? -- Linking Optimal Solutions to the State-Price Density -- Dynamic Stochastic General Equilibrium Models -- CRRA Utility and Efficiency -- 2. Variations -- The Finite-Horizon Merton Problem -- Interest-Rate Risk -- A Habit Formation Model -- Transaction Costs -- Optimisation under Drawdown Constraints -- Annual Tax Accounting -- History-Dependent Preferences -- Non-CRRA Utilities -- An Insurance Example with Choice of Premium Level -- Markov-Modulated Asset Dynamics -- Random Lifetime -- Random Growth Rate -- Utility from Wealth and Consumption -- Wealth Preservation Constraint -- Constraint on Drawdown of Consumption -- Option to Stop Early -- Optimization under Expected Shortfall Constraint -- Recursive Utility -- Keeping up with the Jones's -- Performance Relative to a Benchmark -- Utility from Slice of the Cake -- Investment Penalized by Riskiness -- Lower Bound for Utility -- Production and Consumption -- Preferences with Limited Look-Ahead -- Investing in an Asset with Stochastic Volatility -- Varying Growth Rate -- Beating a Benchmark -- Leverage Bound on the Portfolio -- Soft Wealth Drawdown -- Investment with Retirement -- Parameter Uncertainty -- Robust Optimization -- Labour Income -- 3. Numerical Solution -- Policy Improvement -- Optimal Stopping -- One-Dimensional Elliptic Problems -- Multi-Dimensional Elliptic Problems -- Parabolic Problems -- Boundary Conditions -- Iterative Solutions of PDEs -- Policy Improvement -- Value Recursion -- Newton's Method -- 4. How Well Does It Work? -- Stylized Facts About Asset Returns -- Estimation of l: The 20s Example -- Estimation of V.
Bibliography noteIncludes bibliographical references (pages 151-152) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2012953459
ISBN3642352014
ISBN9783642352010

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