Valuing the Treasury’s Capital Assistance Program

P. Glasserman, Zhenyu Wang
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引用次数: 1

Abstract

The Capital Assistance Program (CAP) was created by the U.S. government in February 2009 to provide backup capital to large financial institutions unable to raise sufficient capital from private investors. Under the terms of the CAP, a participating bank receives contingent capital by issuing preferred shares to the Treasury combined with embedded options for both parties: The bank gets the option to redeem the shares or convert them to common equity, with conversion mandatory after seven years; the Treasury earns dividends on the preferred shares and gets warrants on the bank’s common equity. We develop a contingent claims framework in which to estimate market values of these CAP securities. The interaction between the competing options held by the buyer and issuer of these securities creates a game between the two parties, and our approach captures this strategic element of the joint valuation problem and clarifies the incentives it creates. We apply our method to the eighteen publicly held bank holding companies that participated in the Supervisory Capital Assessment Program (the stress test) launched together with the CAP. On average, we estimate that, compared to a market transaction, the CAP securities carry a net value of approximately 30 percent of the capital invested for a bank participating to the maximum extent allowed under the terms of the program. We also find that the net value varies widely across banks. We compare our estimates with abnormal stock price returns for the stress test banks at the time the terms of the CAP announced; we find correlations between 0.78 and 0.85, depending on the precise choice of period and set of banks included. These results suggest that our valuation aligns with shareholders’ perception of the value of the program, prompting questions about industry reactions and the overall impact of the program.
评估财政部的资本援助计划
资本援助计划(CAP)由美国政府于2009年2月创立,旨在为无法从私人投资者那里筹集到足够资金的大型金融机构提供备用资本。根据共同资本计划的条款,参与计划的银行通过向财政部发行优先股以及双方的内置期权来获得或有资本:银行有权赎回这些股票或将其转换为普通股,七年后必须转换;财政部从优先股中获得股息,并获得银行普通股的认股权证。我们开发了一个或有索赔框架,在其中估计这些CAP证券的市场价值。这些证券的买方和发行者所持有的竞争性期权之间的相互作用创造了双方之间的博弈,我们的方法抓住了联合估值问题的这一战略要素,并阐明了它所产生的激励。我们将我们的方法应用于参与与CAP一起启动的监管资本评估计划(压力测试)的18家上市银行控股公司。平均而言,我们估计,与市场交易相比,CAP证券的净值约为参与该计划条款允许的最大范围内的银行投资资本的30%。我们还发现,各银行的净值差异很大。我们将我们的估计与在CAP条款公布时进行压力测试的银行的异常股价回报进行比较;我们发现相关性在0.78和0.85之间,这取决于周期的精确选择和所包括的银行组。这些结果表明,我们的估值与股东对该计划价值的看法一致,这引发了有关行业反应和该计划整体影响的问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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