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Darkblanca · 2024年01月25日

callable bond也是价格升高为什么不能选

NO.PZ2021120102000004

问题如下:

An investment manager is considering decreasing portfolio duration versus a benchmark index given her expectations of an upward parallel shift in the yield curve.

If she has a choice between a callable, putable, or option-free bond with otherwise comparable characteristics, the most profitable position would be to:

选项:

A.

own the callable bond.

B.

own the putable bond.

C.

own the option-free bond.

解释:

B is correct. The value of a bond with an embedded option is equal to the sum of the value of an option-free bond plus the value to the embedded option.

With a putable bond, the embedded put option is owned by the bond investor, who can exercise the option if yields-to-maturity increase, as in this scenario.

Under A, the embedded call option is owned by the bond issuer, who is more likely to exercise if yields-to-maturity decrease (that is, the bond investor is short the call option).

As for C, the option-free bond underperforms the putable bond given the rise in value of the embedded put option.

含权债券价格中callable bond在利率升高的时候,call option价值下跌,负call option就相当于上升,为什么不能选?跟put option相比也没说那个价值大啊

3 个答案

pzqa015 · 2024年02月08日

嗨,爱思考的PZer你好:


嗯嗯

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加油吧,让我们一起遇见更好的自己!

pzqa015 · 2024年01月26日

嗨,爱思考的PZer你好:


putable 是Vstraight +一个正数,callable是Vstraight减去一个正数,虽然减的正数越来越小,那是不是加正数的要比减正数(甚至减零,也就是不加)要profitable。

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努力的时光都是限量版,加油!

pzqa015 · 2024年01月25日

嗨,爱思考的PZer你好:


option 价值下降,最多是归为0,负的call option也是一个负数,

Vcallable=Vstraight-Vcall,

Vputable=Vstraight+Vput,

利率上涨,两个公式中Vstraight变动是一样的,Vcall变小,Vput变大,你说这两个哪个是most profitable的,当然是putable bond了。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Darkblanca · 2024年01月26日

那你这个解释不就是矛盾了吗?V straight是一样的,call option的价值下降,那负option打打的价值就上升,含权债券的价值不就上升了?

Darkblanca · 2024年02月08日

你搞混了profit和value,profit应该是value1-value0

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