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tristabo · 2024年06月24日

C选项

NO.PZ2023091701000022

问题如下:

A bond fund manager has requested quotes from a bond dealer on two bonds, Bond X and Bond Y, with the same maturity date and coupon rate. The dealer informs the manager that Bond X trades at a spread of 30 bps over the Treasury market, while Bond Y trades at a spread of 70 bps. Which of the following statements is a correct conclusion for the manager to make?

选项:

A.Bond X earns a lower return than that of the comparable Treasury bond, since its spread serves to increase the discount rate of its cash flows. B.The price of Bond X is currently higher than the price of Bond Y. C.To equate the present value of Bond Y’s cash flows to its face value, 70 bps would need to be added to the yield to maturity of a Treasury bond with comparable maturity. D.The spread differential indicates that there is a 0.4% difference in price between Bond X and Bond Y.

解释:

B is correct. Spread is a measure of the excess return earned on a bond over the return provided by a reference security or securities (e.g. Treasury securities). Because the cash flows offered by the reference security are discounted by the appropriate forward rates, adding a spread to these rates serves to decrease the corresponding discount factors. The larger the spread, the greater the decrease in the discount factors, therefore the lower the bond price. Thus, the price of Bond Y (with its 70 bps spread) is lower than the price of Bond X (with its 30 bps spread).

A is incorrect. As mentioned above, spreads can be interpreted as the excess return earned over the return provided by the comparable reference security. Bond X’s positive spread indicates a higher return than the Treasury bond.

C is incorrect. Spreads are applied to the forward rate curve of the reference security, not its yield to maturity.

D is incorrect. This is not a valid application of spreads.

corp bond yield= treasury bond yield+spread, C选项为什么不对?答案解释里和fwd rate curve有什么关系


2 个答案

pzqa27 · 2024年06月27日

嗨,努力学习的PZer你好:


同学你好,C选项的意思是说,如果我们要让bond Y的的PV和它的FV相等,那么使用的折现率就是具有相同到日的treasure bond的ytm加上70个bp的spread。比如Y是个3年的债券,我们就用3年期国债的ytm+70bp作为折现率,就可以让Y的PV=FV。这个是不对的,要让PV=FV,我们需要做的是coupon rate = ytm, C选项并没有给出相应的coupon rate,所以是不对的。

至于解析想要表达的意思是说,题目给出的spread应该是加在forward rate 上,而不应该是加在YTM上。所以C选项的调整ytm的做法也是不对的

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

品职答疑小助手雍 · 2024年06月25日

同学你好,C的翻译是如果想要让bond Y的PV等于面值,那就需要在treasury的YTM基础上加70bp。

这完全是驴头不对马嘴的描述,想要让pv等于面值,需要的是让bond Y的YTM和coupon rate相等,选项里说调整YTM是在胡扯,因为都不没有给coupon rate是多少。

解析的意思是spread这个用法是在利率曲线上加的,而不是在YTM上加的。我觉得他的意思是定义上说就不该在YTM上加spread,更别提其他那些事情了。

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