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哇哈哈哈 · 2024年09月10日

看不懂这道题表格中的数字

NO.PZ2023040701000001

问题如下:

Bird is analyzing a newly issued, US Treasury bond with a five year maturity and a 7.00% coupon. The bond was issued at a price of 101.15. The bond’s yield to maturity at issuance was 6.72%. Bird is evaluating this bond for long term investors who intend to buy this bond and hold it to maturity. Her analysis is based on an expectation that the future path of interest rates follows that which is implied by the forward curve. Current spot rates and extrapolated one year forward rates are provided in Exhibit 1.

Based on the data provided in Exhibit 1 and assuming that Bird's interest rate expectation materializes, the realized return for the US Treasury bond if held to maturity would most likely be:

选项:

A.

less than the yield to maturity.

B.

equal to the yield to maturity.

C.

greater than the yield to maturity.

解释:

Correct Answer: C

The realized return would be greater than the yield to maturity “YTM” because the coupons would be reinvested at forward rates which increase and eventually exceed the YTM since the spot curve is upward sloping. The YTM can be a poor estimate of expected return if interest rates are volatile and if the yield curve is steeply sloped (up or down). YTM assumes that all reinvestment of coupons is made at the assumed rate, which is the YTM. The present value of the bond is 101.15. The future value of the bond assuming that all coupons are reinvested at the forward rates is 141.87. The annualized realized return is 7.0%, which is greater than the 6.72% yield to maturity.

表格中的数字第一行spot rate=3% 为什么到了第二行是4,这个4的单位是什么400%吗?真题会这样出吗?

1 个答案

吴昊_品职助教 · 2024年09月11日

嗨,努力学习的PZer你好:


这道题是协会的mock题,协会给出的表格:spot rate和forward rate的第一行的数字都带上了%,意思是下方所有的数字都要带上百分号,%类似于单位了。也就是说:两年期的spot rate是4%,三年期的spot rate是5%,以此类推。另外,利率不会是400%这么大的数。

后续我们会将百分号移至表头位置:spot rate % 以及 forward rate %,将表格展现得更加严谨。由于这个是协会给出的表格形式,不排除真题也出现这样的情况,我们能明白协会的意图就好了。

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