Local substitution and habit persistence: matching the moments of the equity premium and the risk-free rate

2004 ◽  
Vol 7 (2) ◽  
pp. 265-296 ◽  
Author(s):  
Olivier Allais
1996 ◽  
Vol 104 (6) ◽  
pp. 1135-1171 ◽  
Author(s):  
Ravi Bansal ◽  
Wilbur John Coleman

2016 ◽  
Vol 8 (6) ◽  
pp. 139
Author(s):  
George M. Mukupa ◽  
Elias R. Offen ◽  
Edward M. Lungu

In this paper, we study the risk averse investor's equilibrium equity premium in a semi martingale market with arbitrary jumps. We realize that,  if we normalize the market, the equilibrium equity premium is consistent to taking the risk free rate $\rho=0$ in martingale markets. We also observe that the value process affects both the diffusive and rare-event premia except for the CARA negative exponential utility function. The bond price always affect the diffusive risk premium for this risk averse investor.


2019 ◽  
Vol 09 (02) ◽  
pp. 1950003 ◽  
Author(s):  
Jianjun Miao ◽  
Bin Wei ◽  
Hao Zhou

This paper offers an ambiguity-based interpretation of the variance premium — the difference between risk-neutral and objective expectations of market return variance — as a compounding effect of both belief distortion and variance differential regarding the uncertain economic regimes. Our calibrated model can match the variance premium, the equity premium, and the risk-free rate in the data. We find that about 97% of the mean–variance premium can be attributed to ambiguity aversion. A three-way separation among ambiguity aversion, risk aversion, and intertemporal substitution, permitted by the smooth ambiguity preferences, plays a key role in our model’s quantitative performance.


2000 ◽  
Vol 90 (4) ◽  
pp. 787-805 ◽  
Author(s):  
Stephen G Cecchetti ◽  
Pok-Sang Lam ◽  
Nelson C Mark

We study a Lucas asset-pricing model that is standard in all respects, except that the representative agent's subjective beliefs about endowment growth are distorted. Using constant relative risk-aversion (CRRA) utility, with a CRRA coefficient below 10; fluctuating beliefs that exhibit, on average, excessive pessimism over expansions; and excessive optimism over contractions (both ending more quickly than the data suggest), our model is able to match the first and second moments of the equity premium and risk-free rate, as well as the persistence and predictability of excess returns found in the data. (JEL E44, G12)


2015 ◽  
Vol 10 (02) ◽  
pp. 1550014
Author(s):  
JOW-RAN CHANG ◽  
HSU-HSIEN CHU

This paper extends Longstaff and Piazzesi (2004, Journal of Financial Economics, 74, 401–421.) to a habit formation model. By combining corporate fraction ratio, and surplus consumption ratio, we derive closed-form solutions for stock values when dividends, habit ratio and consumption follow exponential affine jump-diffusion processes. We can prove that Longstaff and Piazzesi (2004) is only a special case of our model. In addition, calibrated results show that the corporate fraction and habit ratio to shocks significantly increases the equity premium and decreases the risk-free rate. The model determines realistic values for the equity premium and the risk-free rate.


1993 ◽  
Vol 31 (1) ◽  
pp. 21-45 ◽  
Author(s):  
Stephen G. Cecchetti ◽  
Pok-sang Lam ◽  
Nelson C. Mark

2001 ◽  
Vol 91 (1) ◽  
pp. 149-166 ◽  
Author(s):  
Michele Boldrin ◽  
Lawrence J Christiano ◽  
Jonas D. M Fisher

Two modifications are introduced into the standard real-business-cycle model: habit preferences and a two-sector technology with limited intersectoral factor mobility. The model is consistent with the observed mean risk-free rate, equity premium, and Sharpe ratio on equity. In addition, its business-cycle implications represent a substantial improvement over the standard model. It accounts for persistence in output, comovement of employment across different sectors over the business cycle, the evidence of “excess sensitivity” of consumption growth to output growth, and the “inverted leading-indicator property of interest rates,” that interest rates are negatively correlated with future output. (JEL D10, E10, E20, G12)


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