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akauw · 2024年10月27日

计算器的用法

NO.PZ2023091701000020

问题如下:

An investment advisor is advising a wealthy client of the company. The client would like to invest USD 500,000 in a bond rated at least AA. The advisor is considering bonds issued by Company X, Company Y, and Company Z, and wants to choose a bond that satisfies the client’s rating requirement, but also has the highest yield to maturity. The advisor has gathered the following information:

Which bond should the investment advisor purchase for the client?

选项:

A.Y bond B.X bond C.Z bond D.Either the Z bond or the Y bond

解释:

for inclusion in the client’s portfolio. Although we can calculate the YTM for each bond using a modern business calculator, it is unnecessary to do so in this case. Of the three bonds, the Y bond does not qualify for the portfolio as its rating of A+ is below the AA rating required by the client. This leaves the X bond and the Z bond. Comparing the two bonds, the X bond pays a higher coupon than the Z bond, yet it is cheaper as well. Therefore the yield on the X bond is higher. To formally calculate the yield, you could also use the following equation describing the relationship between price and yield:


Using this equation (or an equivalent calculator function), the YTM for the X bond equals 4.057%, while the YTM for the Z bond equals 3.62%.

想问下这个题计算器怎么算I/Y,算出来不对

1 个答案

pzqa39 · 2024年10月28日

嗨,爱思考的PZer你好:


对于X债券

N (期数) = 10 (5年,半年付息)

PV (现值) = -97

PMT (每期支付的票息) = 1.7 (半年度票息)

FV (终值) = 100

对于Z债券:

N (期数) = 10 (5年,半年付息)

PV (现值) = -989

PMT (每期支付的票息) = 16.9 (半年度票息)

FV (终值) = 1000

得到的结果是每期的半年度收益率。然后将这个结果乘以2,得到年化收益率YTM。

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