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

Mikan · 2023年02月25日

请问statement3在讲义的哪个位置有讲到

NO.PZ2018123101000060

问题如下:

The following statements were made in the course of the debate regarding the conditions underlying binomial interest rate trees:

Statement 1: The only requirements needed to create a binomial interest rate tree are current benchmark interest rates and an assumption about interest rate volatility.

Statement 2: Potential interest rate volatility in a binomial interest rate tree can be estimated using historical interest rate volatility or observed market prices from interest rate derivatives.

Statement 3: A bond value derived from a binomial interest rate tree with a relatively high volatility assumption will be different from the value calculated by discounting the bond’s cash flows using current spot rates.

Which of the various statements regarding binomial interest rate trees is correct?

选项:

A.

Statement 1

B.

Statement 2

C.

Statement 3

解释:

B is correct.

考点:对二叉树模型的理解

解析:通常使用两种方法来估计利率二叉树中的利率波动率。

第一种方法基于历史利率波动率的估计。

第二种方法使用观察到的利率衍生品的市场价格。

Statement 1不正确,因为创建利率二叉树有三个要求,而不是两个。第三个要求是关于利率模型的假设。

Statement 3不正确,因为无论模型中使用的波动率假设如何,使用即期利率的债券估值和利率二叉树中债券估值都是相同的。

请问statement3在讲义的哪个位置有讲到

1 个答案

pzqa015 · 2023年02月26日

嗨,爱思考的PZer你好:


二叉树与spot rate得到的债券价格都是arbitrage free price,不同的volatility影响的是二叉树的形状(分散or集中),不会影响到二叉树计算的债券价格。假设volatility变大,那么上面点的利率更大,下面点的利率更小,用上面利率折现得到的价格更小,用下面利率折现得到的价格更大,二者平均后与原volatility计算的价格基本没什么区别。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

  • 1

    回答
  • 1

    关注
  • 347

    浏览
相关问题

NO.PZ2018123101000060 问题如下 The following statements were ma in the course of the bate regarng the contions unrlying binomiinterest rate trees: Statement 1: The only requirements neeto create a binomiinterest rate tree are current benchmark interest rates anassumption about interest rate volatility. Statement 2: Potentiinterest rate volatility in a binomiinterest rate tree cestimateusing historicinterest rate volatility or observemarket prices from interest rate rivatives. Statement 3: A bonvalue rivefrom a binomiinterest rate tree with a relatively high volatility assumption will fferent from the value calculatescounting the bons cash flows using current spot rates. Whiof the various statements regarng binomiinterest rate trees is correct? Statement 1 Statement 2 Statement 3 B is correct.考点对二叉树模型的理解解析通常使用两种方法来估计利率二叉树中的利率波动率。第一种方法基于历史利率波动率的估计。第二种方法使用观察到的利率衍生品的市场价格。Statement 1不正确,因为创建利率二叉树有三个要求,而不是两个。第三个要求是关于利率模型的假设。Statement 3不正确,因为无论模型中使用的波动率假设如何,使用即期利率的债券估值和利率二叉树中债券估值都是相同的。 Statement 1不正确,因为创建利率二叉树有三个要求,而不是两个。第三个要求是关于利率模型的假设。请问这三个要求分别是什么?1、volatility确定2、利率要服从log normal分布还有一个是啥?

2024-08-03 18:25 1 · 回答

NO.PZ2018123101000060 问题如下 The following statements were ma in the course of the bate regarng the contions unrlying binomiinterest rate trees: Statement 1: The only requirements neeto create a binomiinterest rate tree are current benchmark interest rates anassumption about interest rate volatility. Statement 2: Potentiinterest rate volatility in a binomiinterest rate tree cestimateusing historicinterest rate volatility or observemarket prices from interest rate rivatives. Statement 3: A bonvalue rivefrom a binomiinterest rate tree with a relatively high volatility assumption will fferent from the value calculatescounting the bons cash flows using current spot rates. Whiof the various statements regarng binomiinterest rate trees is correct? Statement 1 Statement 2 Statement 3 B is correct.考点对二叉树模型的理解解析通常使用两种方法来估计利率二叉树中的利率波动率。第一种方法基于历史利率波动率的估计。第二种方法使用观察到的利率衍生品的市场价格。Statement 1不正确,因为创建利率二叉树有三个要求,而不是两个。第三个要求是关于利率模型的假设。Statement 3不正确,因为无论模型中使用的波动率假设如何,使用即期利率的债券估值和利率二叉树中债券估值都是相同的。 从上面这个角度,risky bonvalue是有变化的。但从题目中,怎么分辩是利用二叉树计算risk-free bon是risky bon

2024-03-15 05:39 1 · 回答

NO.PZ2018123101000060 问题如下 The following statements were ma in the course of the bate regarng the contions unrlying binomiinterest rate trees: Statement 1: The only requirements neeto create a binomiinterest rate tree are current benchmark interest rates anassumption about interest rate volatility. Statement 2: Potentiinterest rate volatility in a binomiinterest rate tree cestimateusing historicinterest rate volatility or observemarket prices from interest rate rivatives. Statement 3: A bonvalue rivefrom a binomiinterest rate tree with a relatively high volatility assumption will fferent from the value calculatescounting the bons cash flows using current spot rates. Whiof the various statements regarng binomiinterest rate trees is correct? Statement 1 Statement 2 Statement 3 B is correct.考点对二叉树模型的理解解析通常使用两种方法来估计利率二叉树中的利率波动率。第一种方法基于历史利率波动率的估计。第二种方法使用观察到的利率衍生品的市场价格。Statement 1不正确,因为创建利率二叉树有三个要求,而不是两个。第三个要求是关于利率模型的假设。Statement 3不正确,因为无论模型中使用的波动率假设如何,使用即期利率的债券估值和利率二叉树中债券估值都是相同的。 Statement 3不正确,因为无论模型中使用的波动率假设如何,使用即期利率的债券估值和利率二叉树中债券估值都是相同的。这句话怎么?使用即期利率的债券估值和利率二叉树中债券估值都为什么相同?

2024-02-29 11:06 1 · 回答

NO.PZ2018123101000060 问题如下 The following statements were ma in the course of the bate regarng the contions unrlying binomiinterest rate trees: Statement 1: The only requirements neeto create a binomiinterest rate tree are current benchmark interest rates anassumption about interest rate volatility. Statement 2: Potentiinterest rate volatility in a binomiinterest rate tree cestimateusing historicinterest rate volatility or observemarket prices from interest rate rivatives. Statement 3: A bonvalue rivefrom a binomiinterest rate tree with a relatively high volatility assumption will fferent from the value calculatescounting the bons cash flows using current spot rates. Whiof the various statements regarng binomiinterest rate trees is correct? Statement 1 Statement 2 Statement 3 B is correct.考点对二叉树模型的理解解析通常使用两种方法来估计利率二叉树中的利率波动率。第一种方法基于历史利率波动率的估计。第二种方法使用观察到的利率衍生品的市场价格。Statement 1不正确,因为创建利率二叉树有三个要求,而不是两个。第三个要求是关于利率模型的假设。Statement 3不正确,因为无论模型中使用的波动率假设如何,使用即期利率的债券估值和利率二叉树中债券估值都是相同的。 A说的应该有3个requirement,分别是什么呢?C说的,高波动性的算出来和用spot算出来一样,为什么呢?高波动性的话,i更分散;用spot算的话,得出f再用e^2欧米伽,为什么会一样呢?

2023-07-31 19:09 2 · 回答