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Probability Default in Black Scholes Formula: A Qualitative Study

机译:Black Scholes公式中的概率默认值:定性研究

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A default risk is the risk that a person or an organization will fail to make a payment that they have promised. There are many models that help us to analyze credit risk, such as Default Probability, Loss Given Default, and Migration Risk. All these models are important for evaluating credit risk, but the most important factor is the Probability of Default that is mentioned in this paper. This paper uses the Black Scholes formula for European call option to find the probability default of a firm. How d_2 in Black schools model became the probability default of a Merton model. Merton model is the structural model because it is using firm's value to inform the probability of firms default and here we are going to show the relationship between Black Scholes European call option and the probability of default of a firm. The main aim of this paper is to describe the factor that affects the default probability default using Black Scholes model for European Call option by the help of some examples.
机译:违约风险是个人或组织无法按承诺付款的风险。有许多模型可以帮助我们分析信用风险,例如违约概率,给定违约损失和迁移风险。所有这些模型对于评估信用风险都很重要,但是最重要的因素是本文提到的违约概率。本文使用Black Scholes公式进行欧洲看涨期权来发现公司的概率违约。布莱克学校模型中的d_2如何成为默顿模型的概率默认值。默顿模型之所以是结构模型,是因为它使用公司的价值来告知公司违约的可能性,这里我们将展示Black Scholes欧洲看涨期权与公司违约概率之间的关系。本文的主要目的是借助一些示例,使用Black Scholes模型进行欧洲看涨期权来描述影响默认概率默认值的因素。

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