本篇論文主要應用Hoshi and Kashyap (2010)提出美國政府在2008年金融風暴期間為了改善問題銀行之穩定性所產生不良資產紓困計畫，此計畫內容包含兩種，一為不良資產購買，二為直接注資的兩種組合方式，探討問題銀行在政府援助投資下，銀行本身的最適利差以及銀行體系的穩定性，並且在Merton (1973)、Brockman and Turtle (2003)和Episcopos (2008)障礙選擇權的基礎下，評估當問題銀行後續償還政府債務時，其償還成本會對銀行本身的利差管理出現何種變化，且將如何影響政府預期收回狀況。

   根據上述研究結果顯示，當政府進行援助時，不論是採購買不良資產的方式抑或是直接注資，皆有效使銀行利差提升，並且強化銀行之風險承受度，進而使銀行體系穩定，另外，政府預期收回狀況會因為問題銀行面臨障礙提升，而導致收回狀況減弱，但整體而言對於納稅人之利益還有銀行體系的穩定還是有效提升。

The barrier options theory of corporate security valuation is applied to the contingent claims of a bank in distress.  This thesis examines the optimal bank interest margin, i.e., the spread between the loan rate and the deposit rate, when the distressed bank is bailed out by the government’s distressed asset purchases and direct equity capital injections based on the Emergency Economic Stabilization Act in 2008.  We find that the optimal bank interest margin at various levels of barrier is positively related to distressed loan purchases and direct equity capital injections.  The positive expected return from the government’s bailout investment, that this focus might be in the very best interest of taxpayers, is negatively related to both the bailout programs.  Government bailouts as such make the bank less prone risk taking, thereby contributing the stability of the banking system.  In particular, restoring the banking stability may not cost taxpayers.  Our results largely support the Act.

目錄
謝辭 .................................................. Ⅰ
中文摘要 .............................................. Ⅱ
英文摘要 .............................................. Ⅲ
目錄 ................................................. Ⅳ
圖表目錄 .............................................. Ⅴ
附錄 ................................................. VII
Chapter 1: Introduction............................... 1
Chapter 2: Related literature......................... 7
Chapter 3: The model.................................. 11
Chapter 4: Solution and results ...................... 18
Chapter 5: Numerical exercises ....................... 21
Chapter 6: Conclusion .................................41
References ............................................42
Appendixes ............................................46

圖表目錄
Table1: Impact on bank interest margin from changes in distressed loan
purchases, ............................................ 23
Table 2: Impact on bank interest margin from changes in direct equity
injections, ........................................... 27
Table 3: Impact on bailout investment return from changes in distressed loan purchases,............................. 30
Table 4: Impact on bailout investment from changes in direct equity injections, .................................... 33
Table 5: Impact on bank interest margin from changes in distressed loan purchases at various levels of barrier,  ....................................................... 36
Table 6: Impact on bank interest margin from changes in direct capital injections at various levels of barrier,................................................37
Table 7: Impact on bailout investment return from changes in distressed loan purchases at various levels of barrier, ....................................................... 38
Table 8: Impact on bailout investment return from changes in direct equity capital injections at various levels of barrier, .............................................. 39

Figure 1-1: Impact on bank interest margin from changes in distressed loan purchases,............................. 24
Figure 1-2:.................................. ..........24
Figure 2-1: Impact on bank interest margin from changes in direct equity injections,.............................. 28
Figure 2-2: ........................................... 28
Figure 3-1: Impact on bailout investment return from changes in distressed loan purchases,.......................... 31
Figure 3-2: ........................................... 31
Figure 4-1: Impact on bailout investment from changes in direct equity injections,.............................. 34
Figure 4-2:............................................ 34

附錄
Appendix 1 .............................................46
Appendix 2 ............................................ 47
Appendix 3 ............................................ 48
Appendix 4 ............................................ 49
Appendix 5 ............................................ 50
Appendix 6 ............................................ 51
Appendix 7 ............................................ 52
Appendix 8 ............................................ 53
Appendix 9 ............................................ 54
Appendix 10 ........................................... 55
Appendix 11 ........................................... 56
Appendix 12 ........................................... 57
Appendix 13 ........................................... 58
Appendix 14 ........................................... 59
Appendix 15 ........................................... 60
Appendix 16 ........................................... 61

Acharya, V.V., Yorulmazer, T., 2008. Cash-in-the-market pricing and optimal resolution of bank failcres. Review of Financial Studies 21, 2705-2742.

Allen, L., 1988. The determinates of bank interest margins: a note. Journal of Financial and Quantitative Analysis 23, 231-235.

Bayazitova, D., Shivdasani, A., 2012. Assessing TARP. Review of Financial Studies 25, 377-407.

Bebchuk, L. A., 2008. A plan for addressing the financial crisis. Working Paper Harvard University.

Berrospide, J., Edge, R., 2010. The effects of bank capital on lending: what do we know? and what does it mean? International Journal of Central Banking 6, 5-54.

Bhattacharya, S., Plank, M., Stobi, G., Zechner, J., 2002. Bank capital regulation with random audits. Journal of Economic Dynamics and Control 26, 1301-1321. 

Black, L., Hazelwood, L., 2012. The effect of TARP on bank risk-taking. International Finance Discussion of Board of Governors of the Federal Reserve System. 
http://www.federalreserve.gov/pubs/ifdp/2012/1043/ifdp1043.pdf, Last Accessed 9/30/2013.

Brei, M., 2011. Rescue packages and bank lending. BIS Working Paper, No 357.

Breitenfellner, B., Wagner, N., 2010. Government intervention in response to the subprime financial crisis: the good into the pot, the bad into the crop.  International Review of Financial Analysis 19, 289-297.

Brockman, P., Turtle, H.J., 2003. A barrier option framework for corporate security valuation. Journal of Financial Economics 67, 511-529. 

Diamond, D.W., Razan, R.C., 2002. Bank bailout and aggregate liquidity. American Economic Review 92, 38-41.

Episcopos, A., 2008. Bank capital regulation in a barrier option framework. Journal of Banking and Finance 32, 1677-1686.

Federal Deposit Insurance Corporation, 2013. Deposit insurance fund management. http://www.fdic.gov/bank/individual/failed/banklist.html, Last Accessed 6/6/2013.

Gorton, G., Huang, L., 2004. Liquidity, efficiency, and bank bailouts. American Economic Review 94, 455-483.

Hoshi, T., Kashyap, A.K., 2010. Will the U.S. bank recapitalization succeed? eight lessons from Japan. Journal of Financial Economics 97, 398-417.

Ho, T.S., Saunders, A., 1981. The determinants of bank interest margins: theory and empirical evidence. Financial Quantitative Analysis 16, 581-600.

Kashyap, A.K., Stein, J.C., 2000. What do a million observations on banks say about the transmission of monetary policy? American Economic Review 90, 407-428.

Lin, J.H., Tsai, J.Y., Tsai, Y.T., 2014. Government bailout return, bank interest margin, and banking stability in a barrier option framework. Working Paper, Tamkang University, March, 3.

Maudos, J., de Guevara, J.F., 2004. Factors explaining the interest margin in the banking sectors of the European Union. Journal of Banking and Finance 28, 2259-2281.

Mehran, H., Thakor, A., 2011. Bank capital and value in the cross-section. Review of Financial Studies 24, 1019-1067.
Merton, R.C., 1973. Theory of rational option pricing. Bell Journal of Economics and Management Science 4, 141-183.

Pausch, T., Welzel, P., 2012. Regulation, credit risk transfer with CDS, and bank lending. Discussion Paper, Deutsche Bundesbank, No 05/2012.

Propublica, 2013. Failed bailout investments. http://projects.propublica.org/bailout/list/losses, Accessed May 31, 2013

Saunders, A., Schumacher, L., 2000. The determinants of bank interest rate margins: an international study. Journal of International Money and Finance 19, 813-832. 

Stoll, H.R., 1978. The supply of dealer services in security markets. Journal of Finance 33, 1133-1153.
Tsai, J.Y., 2012. Risk and regret aversions on optimal bank interest margin under capital regulation. Economic Modelling 29, 2190-2197.

Tsai, J.Y., 2013. Bank interest margin management based on a path-dependent Cobb-Douglas utility framework. Economic Modelling 35, 751-762.

Van den Heuvel, J., 2002. Does bank capital matter for monetary transmission? Economic Policy Review, Federal Reserve Bank of New York, 1-7.

VanHoose, D., 2007. Theories of bank behavior under capital regulation. Journal of Banking and Finance 31, 3680-3697.

Wilson, L., Wu, Y.W., 2012. Escaping TARP. Journal of Financial Stability 8, 22-42.

Wong, K.P., 1997. On the determinants of bank interest margins under credit and interest rate risks. Journal of Banking and Finance 21, 251-271.
Wong, K.P., 2011. Regret theory and the banking firm: the optimal bank interest margin Economic Modelling 28, 2483-2487.

Zarruk, E., Madura, J., 1992. Optimal bank interest margin under capital regulation and deposit insurance. Journal of Financial and Quantitative Analysis 27, 143-149.