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Fixed the abstract link to the periodic paper.

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Chen Yang
2025-06-18 20:31:54 +08:00
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@@ -107,7 +107,7 @@ Postgraduate Courses
</li><br>
<li>Periodic Evaluation with Non-Concave Utility (with <a href="https://scholar.google.com/citations?user=OzeF8T0AAAAJ&hl" target="_blank">Cong Qin</a> and <a href="https://www.ma.ic.ac.uk/~hz/"> Harry Zheng</a>).<br>
<b>submitted</b>. [<a href="" onclick="toggleAbstract('abs_arbPerp');return false">Abstract</a>|<a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5305617" target="_blank">SSRN</a>]<br>
<b>submitted</b>. [<a href="" onclick="toggleAbstract('abs_periodicEvaluation');return false">Abstract</a>|<a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5305617" target="_blank">SSRN</a>]<br>
<div style="display:none" id="abs_periodicEvaluation">
<hr>
<i>A fund manager's performance is often evaluated annually and compared with a benchmark, such as a market index. In addition, the manager may be subject to trading constraints, such as limited use of leverage, no short-selling, and a forced liquidation clause. We formulate this as a periodic evaluation problem with a non-concave utility, a stochastic reference point, and trading constraints. The value function is characterized as the unique solution to a Hamilton-Jacobi-Bellman equation with periodic terminal and boundary conditions, which must be imposed carefully due to possible discontinuities at the terminal time and/or on the liquidation boundary. We find that, at the evaluation time, future investment opportunities induce a discontinuity in the value function on the liquidation boundary, leading to a substantial change in local risk-aversion. More importantly, this local concavity/convexity weakens and shifts inward from the liquidation boundary to the interior region as the evaluation horizon increases. As a result, the joint effect of periodic evaluation and forced liquidation can generate highly nonlinear investment strategies, which is helpful in understanding the complexity of trading strategies in the loss region.</i>