Asset Prices, Funds’ Size and PortfolioWeights in Equilibrium with Heterogeneous and Long-Lived Funds
We perform a detailed asymptotic analysis of the equilibrium behavior of the asset prices, wealth size and portfolio weights in complete markets equilibria, with long-lived funds. In equilibrium, the fund with the (closest to) log preference will dominate the other funds in size, in the long-run, with probability one. On the other hand, two funds on the opposite sides of the log preference will never dominate each other in expected size. In the very long run, the price behavior of the risky asset will be determined solely by the fund closest to the log preference. However, the price drift and volatility still are affected by higher risk aversions, and the optimal portfolio weights contain a hedging component, positive (negative) for the risk aversions higher (lower) than log.The hedging component is monotone increasing in risk aversion for the times further away from the terminal horizon, but it may become monotone decreasing closer to the terminal horizon. For earlier, but still asymptotically infinite times, the price behavior is impacted also by the funds with risk aversions greater than one. Selling short is never optimal. There are distinct increasing time periods such that the price has the same asymptotic behavior in each period. The long-run per-period return gets lower with time.
When requesting a correction, please mention this item's handle: RePEc:chf:rpseri:rp0903. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marilyn Barja)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.