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References (67)
-
(1958)
Note that this effect could not be seen in Merton (1974) and Modigliani and Miller ( -
M. Lettau, Sydney Ludvigson (2001)
Time-Varying Risk Premia and the Cost of Capital: An Alternative Implication of the Q Theory of InvestmentCapital Markets eJournal
-
Andrew Abel, Janice Eberly (1993)
A Unified Model of Investment Under UncertaintyMacroeconomics eJournal
-
F. Camilli, L. Grüne (2003)
Characterizing attraction probabilities via the stochastic Zubov equationDiscrete and Continuous Dynamical Systems-series B, 3
-
W. Semmler (2003)
Asset Prices, Booms and Recessions -
Charles Carlstrom, Timothy Fuerst (1998)
Agency Costs, Net Worth, and Business Fluctuations: A Computable General Equilibrium AnalysisThe American Economic Review, 87
-
M. Bardi, I. Capuzzo-Dolcetta (1997)
Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations -
J. Tobin (1969)
A General Equilibrium Approach to Monetary TheoryJournal of Money, Credit and Banking, 1
-
(1997)
Dynamic Macroeco-nomics -
K. Rouwenhorst (1995)
Asset Pricing Implications of Equilibrium Business Cycle Models -
(2002)
We use the simple first order Euler scheme here in order to avoid too much technicality in our presentation. For higher order discrete time approximations -
(1999)
Bankruptcy Protection against Macroe-conomic Shocks -
Note also that for each firm bonds with different maturity could have different risk premia which we will, however, disregard here -
this discussion concerns the spatial discretization error only. For the analysis of the full error we refer to the cited references -
M. Sieveking, W. Semmler (1997)
The present value of resources with large discount ratesApplied Mathematics and Optimization, 35
-
This curve is difficult to see because it coincides with the curve for sup t ≥ 0 B ( t ) < ∞ for small k and with the restriction curve B = ck for large k -
R. Townsend (1979)
Optimal contracts and competitive markets with costly state verificationStaff Report
-
For small values of α 2 -
I. Dolcetta (1983)
On a discrete approximation of the Hamilton-Jacobi equation of dynamic programmingApplied Mathematics and Optimization, 10
-
(2003)
The model can also be interpreted as written in efficiency labor, therefore σ can represent the sum of the capital depreciation rate, and rate of exogenous technical change -
M. Juillard (2003)
Computing in economics and financeJournal of Economic Dynamics and Control, 27
-
(2003)
Is the Firmsize Distribution Twin-Peaked”, Colombia University, mimeo -
(1999)
Actually, for the one–dimensional problem at hand it is possible to compute rather accurate approximations v Γ h also with equidistributed grid points -
J. Cochrane (1996)
A Cross-Sectional Test of an Investment-Based Asset Pricing ModelJournal of Political Economy, 104
-
J. Córdoba, Marla Ripoll (2003)
Credit Cycles -
(1999)
Using Vector Field Analysis for Studying Debt Dynamics -
L. Grüne, M. Metscher, Mario Ohlberger (1999)
On numerical algorithm and interactive visualization for optimal control problemsComputing and Visualization in Science, 1
-
In either case debt is controllable for V − B ≥ 0 -
(2003)
Our above analytical study of the debt control problem and suggests some methods of how to empirically evaluate sustainable debt -
L. Grüne, W. Semmler (2003)
Solving Asset Pricing Models with Stochastic Dynamic ProgrammingComputing in Economics and Finance
-
Stefan Krieger (1999)
Bankruptcy Costs, Financial Constraints and the Business Cycle -
(1974)
Hereby R ( τ ) is then implicitly defined as e − R ( τ ) τ = F ( V,τ ) B -
Maria Vassalou, Yuhang Xing (2004)
Default Risk in Equity ReturnsDerivatives
-
M. Gertler, Simon Gilchrist (1991)
Monetary Policy, Business Cycles and the Behavior of Small Manufacturing FirmsERN: Business Fluctuations; Cycles (Topic)
-
(2004)
Default Risk, Asset Pricing and Debt Control”, forthcoming Journal of Financial Econometrics 2004/2005 -
L. Grüne, W. Semmler (2004)
Using dynamic programming with adaptive grid scheme for optimal control problems in economicsJournal of Economic Dynamics and Control, 28
-
K. Judd, Bruce Petersen (1986)
Dynamic Limit Pricing and Internal FinanceJournal of Economic Theory, 39
-
W. Beyn, Thorsten Pampel, W. Semmler (2001)
Dynamic optimization and Skiba sets in economic examplesOptimal Control Applications and Methods, 22
-
L. Grüne (1997)
An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equationNumerische Mathematik, 75
-
H. Barger (1936)
The General Theory of Employment, Interest and MoneyNature, 137
-
J. Stoer (1989)
Numerische Mathematik 1 -
J. Duan, Jean-Guy Simonato, Geneviève Gauthier, Sophia Zaanoun (2004)
Estimating Merton's Model by Maximum Likelihood with Survivorship ConsiderationRisk Management
-
João Gomes, A. Yaron, Lu Zhang (2002)
Asset Pricing Implications of Firms' Financing ConstraintsUtah 2002 Twelfth Annual Winter Conference (Archive)
-
B. Bernanke, M. Gertler, Simon Gilchrist (1998)
The Financial Accelerator in a Quantitative Business Cycle FrameworkNBER Working Paper Series
-
(1999)
For details of such a model see Sieveking and Semmler -
(2002)
show for a large class of models one can expect the external finance premium indeed to be equal to the premium necesssary to compensate lenders for the default risk -
Another way to state the risk premium, and thus the risk structure of interest rates if there is debt with different maturity, is R ( τ ) − θ with R ( τ ) the yield to maturity τ -
The simulation are halted at zero -
L. Grüne (2001)
Subdivision Techniques for the Computation of Domains of Attractions and Reachable SetsIFAC Proceedings Volumes, 34
-
J. Schumpeter, J. Keynes (1936)
The General Theory of Employment, Interest and Money.Journal of the American Statistical Association, 31
-
Andrew Abel, Olivier Blanchard (1983)
The Present Value of Profits and Cyclical Movements in InvestmentERN: Other Macroeconomics: Production & Investment (Topic)
-
L. Grüne, W. Semmler (2004)
Asset Pricing - Constrained by Past Consumption Decisions -
L. Grüne, W. Semmler, M. Sieveking (2005)
Creditworthiness and thresholds in a credit market model with multiple equilibriaEconomic Theory, 25
-
(1996)
Computing Creditworthiness and Sustainable Debt University of Frankfurt, paper presented at the Conference on -
Thomas Cooley (1995)
Frontiers of business cycle research -
W. Semmler, M. Sieveking (2000)
Critical debt and debt dynamicsJournal of Economic Dynamics and Control, 24
-
Thomas Cooley, Vincenzo Quadrini (2006)
Monetary policy and the financial decisions of firmsEconomic Theory, 27
-
(1998)
The Optimal Value of Consumption -
(1999)
Investment models with credit market borrowing from imperfect capital markets can be found in Townsend (1979) -
when presenting our numerical results, the parameter α 2 generates only moderate steepness of the credit cost curve -
In any numerical method we must restrict ourselves to a compact computational domain, hence this restriction is natural in this context -
J. Cochrane (1991)
Production‐Based Asset Pricing and the Link Between Stock Returns and Economic FluctuationsJournal of Finance, 46
-
M. Falcone (1987)
A numerical approach to the infinite horizon problem of deterministic control theoryApplied Mathematics and Optimization, 15
-
M. Hanke (2003)
Credit Risk, Capital Structure and the Pricing of Equity Options -
F. Camilli, L. Grüne, F. Wirth (2004)
Characterizing controllability probabilities of stochastic control systems via Zubov’s method -
(2000)
Finanancial Modeling -
L. Grüne (2002)
Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization
- Publisher
- Oxford University Press
- Copyright
- Journal of Financial Econometrics, Vol. 3, No. 1, © Oxford University Press 2005; all rights reserved.
- ISSN
- 1479-8409
- eISSN
- 1479-8417
- DOI
- 10.1093/jjfinec/nbi006
- Publisher site
- See Article on Publisher Site
Abstract
The pricing and control of firms’ debt has become a major issue since Merton’s (1974) seminal article. Yet Merton as well as other recent theories presume that the asset value of the firm is independent of the debt of the firm. However, when using debt finance, firms may have to pay a premium for an idiosyncratic default risk and may face debt constraints. We demonstrate that firm-specific debt constraints and endogenous risk premia, based on collateralized borrowing, affect the asset value of the firm and, in turn, the collateral value of the firm. In order to explore the interdependence of debt finance and asset pricing of firms, we endogenize default premia and borrowing constraints in a production-based asset pricing model. In this context then the dynamic decision problem of maximizing the present value of the firm faces an additional constraint giving rise to the debt-dependent firm value. We solve for the asset value of the firm with debt finance by the use of numerical dynamic programming. This allows us to solve the debt control problem and to compute sustainable debt as well as the firm’s debt value.
Journal
Journal of Financial Econometrics – Oxford University Press
Published: Jan 1, 2005