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LHY · 2020年07月17日

问一道题:NO.PZ2016082406000039

问题如下:

Using the Merton model, the value of the debt increases if all other parameters are fixed and

I. The value of the firm decreases.

II. The riskless interest rate decreases.

III. Time to maturity increases.

IV. The volatility of the firm value decreases.

选项:

A.

I and II only

B.

I and IV only

C.

II and III only

D.

II and IV only

解释:

ANSWER: D

The value of credit-sensitive debt is B=Ke(r+s)tB=Ke^{-(r+s)t}.  This increases (1) if the risk-free interest rate decreases, or (2) if the credit spread decreases, or (3) if the maturity decreases. The credit spread decreases if the value of the firm goes up, or if the leverage goes down, or if the volatility goes down. Hence, the value of debt increases if the riskless rate decreases or if the volatility decreases.

B=Ke−(r+s)t

这个等式是指的啥啊

2 个答案
已采纳答案

品职答疑小助手雍 · 2020年07月18日

用前一个公式,这个式子就是前一个式子…指数本来是上标没推上去

 

LHY · 2020年07月18日

我的意思是这里的K是不是就merton模型里面 Call = Value - Face value of debt当中的debt? if so 为啥影响公司value的volatility 减小会影响到debt的价值?它又不是次级债党在financial distress的时候有股性。 公司的价值的volatility和debt的volatility不是两个不同的东西吗?

品职答疑小助手雍 · 2020年07月19日

这个公式指的是,公司债(这里按照模型的假设也假设了零息)的价格B等于K(到期面值)以rf和spread结合时间折现。

所以B会随着RF的减小而增大,spread的减小而增大,T的减小而增大。

另外根据莫顿模型,firm value的波动率减小的时候,PD会减小,则spread减小,B增加。

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