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A computational approach to pricing a bank credit line

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  • Stanhouse, Bryan
  • Schwarzkopf, Al
  • Ingram, Matt

Abstract

Using trended Brownian motion to characterize borrower cash needs over time, we are able to derive a probability density function for the time to depletion of a bank credit line as well as the likelihoods for the time to exhausting the sources of liquidity that fund the loan. Armed with these analytic results, we solve for the credit line mark-up rate and the configuration of stored liquidity that maximizes the bank's intertemporal expected profits from the loan. The optimality conditions produce a system of integral differential equations whose solutions we then simulate over a host of scenarios.

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  • Stanhouse, Bryan & Schwarzkopf, Al & Ingram, Matt, 2011. "A computational approach to pricing a bank credit line," Journal of Banking & Finance, Elsevier, vol. 35(6), pages 1341-1351, June.
    • Handle: RePEc:eee:jbfina:v:35:y:2011:i:6:p:1341-1351
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    2. Jing Gu & Junyao Wang & Yang Yang & Zeshui Xu, 2019. "Credit Line Models for Supply Chain Enterprises with Channel Background and Soft Information," Sustainability, MDPI, vol. 11(10), pages 1-20, May.

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