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Dynamic Model of Credit Risk in Relationship Lending: A Game- theoretic Real Options Approach

Takashi Shibata () and Tetsuya Yamada
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Tetsuya Yamada: Associate Director, Institute for Monetary and Economic Studies, Bank of Japan (E-mail: tetsuya.yamada@boj.or.jp)

No 09-E-07, IMES Discussion Paper Series from Institute for Monetary and Economic Studies, Bank of Japan

Abstract: We develop a dynamic credit risk model for the case that banks compete to collect their loans from a firm falling in danger of bankruptcy. We apply a game-theoretic real options approach to investigate bank fs optimal strategies. Our model reveals that the bank with the larger loan amount, namely the main bank, provides an additional loan to support the deteriorating firm when the other bank collects its loan. This suggests that there exists rational forbearance lending by the main bank. Comparative statics show that as the liquidation value is lower, the optimal exit timing for the non-main bank comes at an earlier stage of business downturn and the optimal liquidation timing by the main bank is delayed further. As the interest rate of the loan is lower, the optimal exit timing for the non-main bank comes earlier. These analyses are consistent with the forbearance lending and exposure concentration of main banks observed in Japan.

Keywords: Credit risk; Relationship lending; Real option; Game theory; Concentration risk (search for similar items in EconPapers)
JEL-codes: D81 D92 G21 G32 G33 (search for similar items in EconPapers)
Date: 2009-03
New Economics Papers: this item is included in nep-ban, nep-bec, nep-cfn and nep-fmk
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