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

Avalon · 2024年10月14日

麻烦助教老师看下这题

NO.PZ2023040401000057

问题如下:

A portfolio manager observes the price and YTM of one-year (r1) and two-year (r2) annual coupon government benchmark bonds currently available in the market. How the manager can determine a breakeven reinvestment rate in one year’s time to help decide whether to invest now for one or two years?

选项:

A.

Divide the square root of (1 + r2) by (1 + r1) and subtract 1 to arrive at a breakeven reinvestment rate for one year in one year’s time.

B.

Set (1 + r1) multiplied by 1 plus the breakeven reinvestment rate equal to (1 + r2) 2 and solve for the breakeven reinvestment rate.

C.

First substitute the one-year rate (r1) into the two-year bond price equation to solve for the two-year spot or zero rate (z2 ), then set (1 + r1) × (1 + breakeven reinvestment rate) = (1 + z2 ) 2 and solve for the breakeven reinvestment rate..

解释:

A portfolio manager observes the YTM of one-year (r1) and two-year (r2) bonds in the market, and wants to determine the break-even reinvestment rate in one year.

Based on the formula


Only C is correct.

为啥1不对咩?(1+r2)^2➗1+r1

1 个答案

李坏_品职助教 · 2024年10月14日

嗨,从没放弃的小努力你好:


本题是想问你,从第一年到第二年的这个远期利率(forward rate)是多少?

总的思路是用(1+1年即期利率)*(1+远期利率) = (1+2年的即期利率)^2


A不对。

本题给出的r1与r2都是附息债券的YTM,其中r1可以用作1年期的即期利率,但是r2并非2年期的即期利率,只有零息债券的YTM才可以当做即期利率。

----------------------------------------------
加油吧,让我们一起遇见更好的自己!