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梦梦 · 2024年11月11日

为什么不是减而是加

NO.PZ2023091701000029

问题如下:

A risk manager is evaluating the price sensitivity of an investment-grade callable bond using the firm’s valuation system. The table below presents information on the bond as well as on the embedded option. The current interest rate environment is flat at 5%.

The DV01 of a comparable bond with no embedded options having the same maturity and coupon rate is closest to:

选项:

A.0.0185

B.0.2706

C.0.2891

D.0.3077

解释:

The call option reduces the bond price, therefore the bond with no embedded options will be the sum of the callable bond price and the call option price.

Therefore the price of the bond with no embedded options at a rate of 4.98% would be 104.1657 and the price at a rate of 5.02% would be 102.9351.

DV01 is a measure of price sensitivity of a bond. To calculate the DV01, the following equation is used:

Where ΔP is the change in price and Δy is the change in yield. Therefore

The call option reduces the bond price, therefore the bond with no embedded options will be the sum of the callable bond price and the call option price.”

老师,这题说的是callable bond ,这种债券因为含有利于投资人的权利,所以价格高,因此剔除权利的因素,不应该是用含权的价格减去call option的价格吗?为什么加上呢?


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已采纳答案

pzqa39 · 2024年11月11日

嗨,爱思考的PZer你好:


带有赎回权的债券对发行人有利,因为它允许发行人在利率下降时提前赎回债券,从而重新融资以降低成本。由于这种对发行人有利、对投资者不利的特性,带有赎回权的债券的价格会低于同等条件下不含赎回权的债券。

不含权的债券价格可以理解为“纯债券价格”,即不包含任何有利于发行人的期权成本。计算价格时,应该将可赎回债券的价格与赎回期权的价值相加。

不含权的债券价格 = 可赎回债券的价格 + 赎回期权的价格。这样做是因为,带有赎回权的债券价格实际上已经被“压低”了,要获得纯债券的价值,需要把赎回期权的价值加回去。

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努力的时光都是限量版,加油!

梦梦 · 2024年11月12日

好的,谢谢

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