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candally · 2020年09月02日

问一道题:NO.PZ2016082405000018

问题如下:

Suppose a firm has two debt issues outstanding. One is a senior debt issue that matures in three years with a principal amount of $100 million. The other is a subordinate debt issue that also matures in three years with a principal amount of $50 million. The annual interest rate is 5% and the volatility of the firm value is estimated to be 15%. If the volatility of the firm value declines in the Merton model, then which of the following statements is true?

选项:

A.

If the firm is experiencing financial distress (low firm value), then the value of senior debt will increase while the values of subordinate debt and equity will both decline.

B.

If the firm is not experiencing financial distress (high firm value), then the value of senior debt and subordinate debt and equity will increase.

C.

If the firm is experiencing financial distress (low firm value), then the value of senior debt and subordinate debt will increase while equity values will decline.

D.

If the firm is not experiencing financial distress (high firm value), then the value of senior debt will increase while the values of subordinate debt and equity will both decline.

解释:

A  When firms with subordinate debt are experiencing financial distress (low film values), changes in the value of subordinate will react to changes in the model parameters in the same way as equity. Since equity is valued as a call option in the Merton model, a decline in volatility will reduce the value of equity (and subordinate debt). When firms with subordinate debt are not experiencing financial distress (high firm values), changes in the value of subordinate will react to changes in the model parameters in the same way as senior debt. Since senior debt is valued as the difference in firm value less equity valued as a call option in the Merton model, a decline in volatility will increase the value of senior debt (and subordinate debt).

想问下,当公司价值高的时候(非危机时),为啥equity的value也是低的?

1 个答案
已采纳答案

品职答疑小助手雍 · 2020年09月02日

嗨,爱思考的PZer你好:


可以直接套用BSM模型来理解,equity可以看做公司value的call option,call option在volatility下降的时候价值也下降。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!