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游游 · 2024年10月03日

return decomposition

NO.PZ2023091701000023

问题如下:

A fixed-income analyst is decomposing the profit and loss (P&L) of a bond over the past 6 months. The bond has a 2% coupon rate, paid semi-annually, and had exactly 2 years remaining until maturity at the start of the 6-month period. Relevant information about the bond and market rates (semi-annually compounded) is shown below:

The analyst has calculated the bond’s carry roll-down, and under the forward rate assumption made for the purpose of that calculation, the ending value of the bond is SGD 100.55. Given this information, what is the component of the bond’s P&L attributable to the change in rates over the 6-month period?

选项:

A.SGD 0.54
B.SGD 0.69
C.SGD 0.74
D.SGD 0.99

解释:

A is correct. Calculating the impact of the change in rates is the second step in decomposing the P&L of a bond, after calculating the carry roll-down. The impact of a rate change is calculated as the value of the bond at the end of the period using the ending forward rate curve (and the bond’s beginning-of-period spread), minus the end-of-period value of the bond calculated using the forward rates assumed for the purpose of determining carry roll-down (which represent some sense of “no change” in the interest rate environment). The value of the bond under the ending forward rate curve is:

Therefore, the impact of the rate change is:

SGD 101.09 - SGD 100.55 = SGD = 0.54

请问题目中哪里说了还要用原来的spread,beginningspread和ending spread分别是什么意思

1 个答案

pzqa27 · 2024年10月08日

嗨,努力学习的PZer你好:


请问题目中哪里说了还要用原来的spread

题目原文说了“ attributable to the change in rates”,也就是基于利率的变化,因此这里就不用考虑spread的变化了,只用使用到下表中新的利率进行折现即可。

beginningspread和ending spread分别是什么意思

题目说了“The bond  had exactly 2 years remaining until maturity at the start of the 6-month period.”也就是在0时刻,spread是30,在6个月过后,spread变成了20.

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NO.PZ2023091701000023问题如下 A fixeincome analyst is composing the profit anoss (P L) of a bonover the past 6 months. The bonha 2% coupon rate,paisemi-annually, anhexactly 2 years remaining until maturity thestart of the 6-month perio Relevant information about the bonanmarketrates (semi-annually compoun is shown below:The analyst hcalculatethe bons carry roll-wn,anunr the forwarrate assumption ma for the purpose of thcalculation,the enng value of the bonis SG100.55. Given this information, whis thecomponent of the bons P L attributable to the change in rates over the6-month perio A.SG0.54B.SG0.69C.SG0.74SG0.99 A is correct.Calculating the impaof the change in rates is the seconstep in composingthe P L of a bon after calculating the carry roll-wn. The impaof arate change is calculatethe value of the bonthe enof the periosing the enng forwarrate curve (anthe bons beginning-of-perioprea, minus the enof-periovalue of the boncalculateusing the forwarates assumefor the purpose of termining carry roll-wn (whirepresentsome sense of “no change” in the interest rate environment). The value of thebonunr the enng forwarrate curve is:Therefore, theimpaof the rate change is:SG101.09 - SG00.55 = SG= 0.54 老师,1、在真题中,forwarrate 也会给的这么不清楚吗?这里的forwarrate 到底是在0时刻,0.5至1的利率,还是0.5时刻?forwarrate 不应该是站在现在时刻,未来某一时间开始到更未来的利率吗?但听了讲解,感觉是站在0.5时刻。而且既然是forwarrate,还有啥真实的利率的概念?就是enng ?真实的就是当前市场的吧,还能是forwarrate吗?这里不是特别明白。2、计算carry roll wn明明是个债券价值差的概念the enng value of the bonBVt(R’ St-1)的通用表述吗?这题的英文和表格,整体都感觉不清不楚,真题也这样吗?

2024-08-28 10:53 3 · 回答

NO.PZ2023091701000023 问题如下 A fixeincome analyst is composing the profit anoss (P L) of a bonover the past 6 months. The bonha 2% coupon rate,paisemi-annually, anhexactly 2 years remaining until maturity thestart of the 6-month perio Relevant information about the bonanmarketrates (semi-annually compoun is shown below:The analyst hcalculatethe bons carry roll-wn,anunr the forwarrate assumption ma for the purpose of thcalculation,the enng value of the bonis SG100.55. Given this information, whis thecomponent of the bons P L attributable to the change in rates over the6-month perio A.SG0.54 B.SG0.69 C.SG0.74 SG0.99 A is correct.Calculating the impaof the change in rates is the seconstep in composingthe P L of a bon after calculating the carry roll-wn. The impaof arate change is calculatethe value of the bonthe enof the periosing the enng forwarrate curve (anthe bons beginning-of-perioprea, minus the enof-periovalue of the boncalculateusing the forwarates assumefor the purpose of termining carry roll-wn (whirepresentsome sense of “no change” in the interest rate environment). The value of thebonunr the enng forwarrate curve is:Therefore, theimpaof the rate change is:SG101.09 - SG00.55 = SG= 0.54

2024-04-18 07:42 1 · 回答