scholarly journals Equilibrium Asset Pricing in Directed Networks

2020 ◽  
Author(s):  
Nicole Branger ◽  
Patrick Konermann ◽  
Christoph Meinerding ◽  
Christian Schlag

Abstract Directed links in cash flow networks affect the cross-section of risk premia through three channels. In a tractable consumption-based equilibrium asset pricing model, we obtain closed-form solutions that disentangle these channels for arbitrary directed networks. First, shocks that can propagate through the economy command a higher market price of risk. Second, shock-receiving assets earn an extra premium since their valuation ratios drop upon shocks in connected assets. Third, a hedge effect pushes risk premia down: when a shock propagates through the economy, an asset that is unconnected becomes relatively more attractive and its valuation ratio increases.


2012 ◽  
Vol 102 (6) ◽  
pp. 2859-2896 ◽  
Author(s):  
YiLi Chien ◽  
Harold Cole ◽  
Hanno Lustig

Our paper examines whether the failure of unsophisticated investors to rebalance their portfolios can help to explain the countercyclical volatility of aggregate risk compensation in financial markets. To answer this question, we set up a model in which a large mass of investors do not rebalance their portfolio shares in response to aggregate shocks, while a smaller mass of active investors do. We find that intermittent rebalancers more than double the effect of aggregate shocks on the time variation in risk premia by forcing active traders to sell more shares in good times and buy more shares in bad times. (JEL D14, E32, G11, G12)



2005 ◽  
Author(s):  
Massimo Bernaschi ◽  
Luca Torosantucci ◽  
Adamo Uboldi


Author(s):  
Flavio Angelini ◽  
Katia Colaneri ◽  
Stefano Herzel ◽  
Marco Nicolosi

AbstractWe study the optimal asset allocation problem for a fund manager whose compensation depends on the performance of her portfolio with respect to a benchmark. The objective of the manager is to maximise the expected utility of her final wealth. The manager observes the prices but not the values of the market price of risk that drives the expected returns. Estimates of the market price of risk get more precise as more observations are available. We formulate the problem as an optimization under partial information. The particular structure of the incentives makes the objective function not concave. Therefore, we solve the problem by combining the martingale method and a concavification procedure and we obtain the optimal wealth and the investment strategy. A numerical example shows the effect of learning on the optimal strategy.



Author(s):  
Robert Korkie ◽  
Harry Turtle


2010 ◽  
Vol 31 (8) ◽  
pp. 779-807 ◽  
Author(s):  
Ramaprasad Bhar ◽  
Damien Lee


Author(s):  
Tomas Björk

In this chapter we study a very general multidimensional Wiener-driven model using the martingale approach. Using the Girsanov Theorem we derive the martingale equation which is used to find an equivalent martingale measure. We provide conditions for absence of arbitrage and completeness of the model, and we discuss hedging and pricing. For Markovian models we derive the relevant pricing PDE and we also provide an explicit representation formula for the stochastic discount factor. We discuss the relation between the market price of risk and the Girsanov kernel and finally we derive the Hansen–Jagannathan bounds for the Sharpe ratio.



Author(s):  
Tomas Björk

We discuss market incompleteness within the relatively simple framework of a factor model. The corresponding pricing PDE is derived and we relate it to the market price of risk.



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