开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

jerryhuqian · 2024年12月28日

没读懂,为什么是涉及麦考利久期和投资期谁长谁短的考点?2%是怎么算出来的?

* 问题详情,请 查看题干

NO.PZ202105270100000404

问题如下:

Based on Exhibit 2 and the anticipated effects of the monetary policy change, the expected annual return over a three-year investment horizon will most likely be:

选项:

A.lower than 2.00%.

B.approximately equal to 2.00%.

C.greater than 2.00%.

解释:

B is correct.

If the investment horizon equals the (Macaulay) duration of the portfolio, the capital loss created by the increase in yields and the reinvestment effects (gains) will roughly offset, leaving the realized return approximately equal to the original yield to maturity. This relationship is exact if (a) the yield curve is flat and (b) the change in rates occurs immediately in a single step. In practice, the relationship is only an approximation. In the case of the domestic sovereign yield curve, the 20 bp increase in rates will likely be offset by the higher reinvestment rate, creating an annual return approximately equal to 2.00%.

如果投资期限等于投资组合的(麦考利久期,收益率的增加和再投资效应(收益)造成的资本损失将大致抵消,使收益大致等于到期时的原始收益率。如果(a)收益率曲线是平坦的,并且(b)利率的变化立即在单一步骤中发生,则这种关系是准确的。实际上,这种关系只是一种近似。在国内主权收益曲线的情形中,20个基点的利率上升可能会被更高的再投资率所抵消,创造大约等于2.00%的年回报率。

麦考利久期和投资期相同的推导过程老师能帮忙截一下吗?

1 个答案

笛子_品职助教 · 2024年12月29日

嗨,从没放弃的小努力你好:


2%不是计算出来的,是题目的已知条件,已知YTM=2%


这题是CME学科里的内容

含义是:

If the investment horizon equals the (Macaulay) duration of the bond or portfolio

The capital gain/loss and reinvestment effects will roughly offset, leaving the realized return close to the original YTM.

结合本题:

现在麦考林久期等于投资期(MODIFIED DURATION),所以收益率水平等于YTM=2

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

  • 1

    回答
  • 0

    关注
  • 4

    浏览
相关问题

NO.PZ202105270100000404 问题如下 Baseon Exhibit 2 anthe anticipateeffects of the monetary polichange, the expecteannureturn over a three-yeinvestment horizon will most likely be: A.lower th2.00%. B.approximately equto 2.00%. C.greater th2.00%. B is correct.If the investment horizon equals the (Macaulay) ration of the portfolio, the capitloss createthe increase in yiel anthe reinvestment effects (gains) will roughly offset, leaving the realizereturn approximately equto the originyielto maturity. This relationship is exaif (the yielcurve is flan(the change in rates occurs immeately in a single step. In practice, the relationship is only approximation. In the case of the mestic sovereign yielcurve, the 20 increase in rates will likely offset the higher reinvestment rate, creating annureturn approximately equto 2.00%. 如果投资期限等于投资组合的(麦考利久期,收益率的增加和再投资效应(收益)造成的资本损失将大致抵消,使收益大致等于到期时的原始收益率。如果(a)收益率曲线是平坦的,并且(b)利率的变化立即在单一步骤中发生,则这种关系是准确的。实际上,这种关系只是一种近似。在国内主权收益曲线的情形中,20个基点的利率上升可能会被更高的再投资率所抵消,创造大约等于2.00%的年回报率。 “The bonmanager notes ththere is a market consensus ththe mestic yielcurve will likely experiena single 20 increase in the neterm a result of monetary tightening anthen remain relatively flanstable for the next three years. ” 题目中的这句话意思是利率曲线会变的flatten 吗?

2024-11-08 19:21 1 · 回答

NO.PZ202105270100000404 问题如下 Baseon Exhibit 2 anthe anticipateeffects of the monetary polichange, the expecteannureturn over a three-yeinvestment horizon will most likely be: A.lower th2.00%. B.approximately equto 2.00%. C.greater th2.00%. B is correct.If the investment horizon equals the (Macaulay) ration of the portfolio, the capitloss createthe increase in yiel anthe reinvestment effects (gains) will roughly offset, leaving the realizereturn approximately equto the originyielto maturity. This relationship is exaif (the yielcurve is flan(the change in rates occurs immeately in a single step. In practice, the relationship is only approximation. In the case of the mestic sovereign yielcurve, the 20 increase in rates will likely offset the higher reinvestment rate, creating annureturn approximately equto 2.00%. 如果投资期限等于投资组合的(麦考利久期,收益率的增加和再投资效应(收益)造成的资本损失将大致抵消,使收益大致等于到期时的原始收益率。如果(a)收益率曲线是平坦的,并且(b)利率的变化立即在单一步骤中发生,则这种关系是准确的。实际上,这种关系只是一种近似。在国内主权收益曲线的情形中,20个基点的利率上升可能会被更高的再投资率所抵消,创造大约等于2.00%的年回报率。 这个知识点是fix income的内容吧, 有在cme 中讲到过么? 如果有, 在哪里呢?答案中This relationship is exaif (the yielcurve is flan(the change in rates occurs immeately in a single step. 为什么要flcurve呢?题目中已经说 The bonmanager notes ththere is a market consensus ththe mestic yielcurve will likely experiena single 20 increase in the neterm a result of monetary tightening anthen remain relatively flanstable for the next three years。 所以在 neterm,yielcurve是upwarslop,不是flat。 应该是要求yielcurve is static 对么?

2024-01-30 12:38 1 · 回答

NO.PZ202105270100000404 问题如下 Baseon Exhibit 2 anthe anticipateeffects of the monetary polichange, the expecteannureturn over a three-yeinvestment horizon will most likely be: A.lower th2.00%. B.approximately equto 2.00%. C.greater th2.00%. B is correct.If the investment horizon equals the (Macaulay) ration of the portfolio, the capitloss createthe increase in yiel anthe reinvestment effects (gains) will roughly offset, leaving the realizereturn approximately equto the originyielto maturity. This relationship is exaif (the yielcurve is flan(the change in rates occurs immeately in a single step. In practice, the relationship is only approximation. In the case of the mestic sovereign yielcurve, the 20 increase in rates will likely offset the higher reinvestment rate, creating annureturn approximately equto 2.00%. 如果投资期限等于投资组合的(麦考利久期,收益率的增加和再投资效应(收益)造成的资本损失将大致抵消,使收益大致等于到期时的原始收益率。如果(a)收益率曲线是平坦的,并且(b)利率的变化立即在单一步骤中发生,则这种关系是准确的。实际上,这种关系只是一种近似。在国内主权收益曲线的情形中,20个基点的利率上升可能会被更高的再投资率所抵消,创造大约等于2.00%的年回报率。 此时pririsk主导,如果r上升,p下降,则return ytm,如果r下降,p上升,则return ytm.以上理解是否正确?谢谢!

2023-11-21 17:51 2 · 回答

NO.PZ202105270100000404问题如下 Baseon Exhibit 2 anthe anticipateeffects of the monetary polichange, the expecteannureturn over a three-yeinvestment horizon will most likely be:A.lower th2.00%.B.approximately equto 2.00%.C.greater th2.00%. B is correct.If the investment horizon equals the (Macaulay) ration of the portfolio, the capitloss createthe increase in yiel anthe reinvestment effects (gains) will roughly offset, leaving the realizereturn approximately equto the originyielto maturity. This relationship is exaif (the yielcurve is flan(the change in rates occurs immeately in a single step. In practice, the relationship is only approximation. In the case of the mestic sovereign yielcurve, the 20 increase in rates will likely offset the higher reinvestment rate, creating annureturn approximately equto 2.00%. 如果投资期限等于投资组合的(麦考利久期,收益率的增加和再投资效应(收益)造成的资本损失将大致抵消,使收益大致等于到期时的原始收益率。如果(a)收益率曲线是平坦的,并且(b)利率的变化立即在单一步骤中发生,则这种关系是准确的。实际上,这种关系只是一种近似。在国内主权收益曲线的情形中,20个基点的利率上升可能会被更高的再投资率所抵消,创造大约等于2.00%的年回报率。 为何20bp的上升会带来2%的预期收益?

2023-10-19 23:13 1 · 回答