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lcrcp3 · 2023年09月30日

如题

NO.PZ2023040701000050

问题如下:

Zhong asks, “Except using spot rate, are there other ways to calculate the arbitrage-free value of a bond?” Goll responds, “Yes, the arbitrage-free value of a bond can also be calculated using a binomial interest rate tree, where the interest rate tree provides a representation of how one-year forward rates evolve based on an interest rate model that identifies factors with predictable paths, an interest rate volatility assumption, and where forward rates on the tree are consistent with the current benchmark yield curve.”

Goll’s response to Zhong’s question is least likely correct with respect to:

选项:

A.

the interest model.

B.

interest rate volatility.

C.

the benchmark yield curve.

解释:

Correct Answer: A

Goll’s response to Zhong is incorrect with respect to the interest rate model. Goll states that the factors in the interest rate model must have predictable paths, which is incorrect. The factors that explain the dynamics of interest rates are random or stochastic. Goll is correct regarding the assumption of interest rate volatility and the current benchmark yield curve.

什么意思?这是哪个知识点?请用中文说一下。

2 个答案

pzqa31 · 2024年05月06日

嗨,努力学习的PZer你好:


不是完全随机生成的,而是基于某种确定的数学模型或随机过程。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

pzqa31 · 2023年10月02日

嗨,从没放弃的小努力你好:


A选项错在predictable path,interest rate model一般采用lognormal model。利率的路径既取决于趋势项也取决于随机扰动项,所以是random的,并不是可以预测的。

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努力的时光都是限量版,加油!

PZmomo · 2024年05月02日

是不是二叉树每个节点的利率都是由interest rate model随机生成的?

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NO.PZ2023040701000050 问题如下 Zhong asks, “Except using spot rate, are there other ways to calculate the arbitrage-free value of a bon” Goll respon, “Yes, the arbitrage-free value of a boncalso calculateusing a binomiinterest rate tree, where the interest rate tree provis a representation of how one-yeforwarrates evolve baseon interest rate mol thintifies factors with prectable paths, interest rate volatility assumption, anwhere forwarrates on the tree are consistent with the current benchmark yielcurve.”Goll’s response to Zhong’s question is least likely correwith respeto: A.the interest mol. B.interest rate volatility. C.the benchmark yielcurve. CorreAnswer: AGoll’s response to Zhong is incorrewith respeto the interest rate mol. Goll states ththe factors in the interest rate mol must have prectable paths, whiis incorrect. The factors thexplain the namiof interest rates are ranm or stochastiGoll is correregarng the assumption of interest rate volatility anthe current benchmark yielcurve. A,利率路径为啥不是prectable?任何分叉路,上涨利率和下跌利率差距为e^(2σ),i(H)=i(L)*e^(2σ),同时mile forwarrate = implieone perioforwarrate只要知道i0,就能把后面的利率二叉树全给预测出来C只有mile forwarrate和当前的benchmark yielcurve一致,题干说所有的mile forwarrate和当前的benchmark yielcurve一致这明显是错的吧

2024-05-11 16:26 3 · 回答

NO.PZ2023040701000050 问题如下 Zhong asks, “Except using spot rate, are there other ways to calculate the arbitrage-free value of a bon” Goll respon, “Yes, the arbitrage-free value of a boncalso calculateusing a binomiinterest rate tree, where the interest rate tree provis a representation of how one-yeforwarrates evolve baseon interest rate mol thintifies factors with prectable paths, interest rate volatility assumption, anwhere forwarrates on the tree are consistent with the current benchmark yielcurve.”Goll’s response to Zhong’s question is least likely correwith respeto: A.the interest mol. B.interest rate volatility. C.the benchmark yielcurve. CorreAnswer: AGoll’s response to Zhong is incorrewith respeto the interest rate mol. Goll states ththe factors in the interest rate mol must have prectable paths, whiis incorrect. The factors thexplain the namiof interest rates are ranm or stochastiGoll is correregarng the assumption of interest rate volatility anthe current benchmark yielcurve. Zhong asks, “Except using spot rate, are there other ways to calculate the arbitrage-free value of a bon” Goll respon, “Yes, the arbitrage-free value of a boncalso calculateusing a binomiinterest rate tree, where the interest rate tree provis a representation of how one-yeforwarrates evolve baseon interest rate mol thintifies factors with prectable paths, interest rate volatility assumption, anwhere forwarrates on the tree are consistent with the current benchmark yielcurve.”Goll’s response to Zhong’s question is least likely correwith respeto:您的回答正确答案是: AAthe interest mol.Binterest rate volatility.C不正确the benchmark yielcurve.C也错吧?forwarrate on the tree 也不一定等于current benchmark yiel有那么多path,树有那么多branch,benchmark yiel只有一条,怎么可能相等?

2024-04-21 20:58 1 · 回答