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小范范 · 2020年02月12日

问一道题:NO.PZ201602270200001802 第2小题 [ CFA II ]

* 问题详情,请 查看题干

问题如下图:

选项:

A.

B.

C.

解释:

老师,这道题如果计算器取四位小数,那么算出来s2=1.5%,s3=1.7%,用这个数带进去算正好是Eurex的那个价格。那这样的话A选项不能认为是错的啊

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已采纳答案

吴昊_品职助教 · 2020年02月13日

题目要我们求得是债券的无套利价格,所以应该用spot rate来折现。但是题目表格中给出的是par rate,所以我们需要通过bootstrapping的方法求出来Spot rate。然后再用spot rate去折现。S2=1.5019%,S3=1.7049%。

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NO.PZ201602270200001802 问题如下 2. Baseon Exhibits 1 an2, the exchange threflects the arbitrage-free priof the bonis: A.Eurex. B.Frankfurt. C.NYSE Euronext. C is correct.The bonfrom Exhibit 1 is selling for its calculatevalue on the NYSE Euronext exchange. The arbitrage-free value of a bonis the present value of its cash flows scountethe spot rate for zero coupon bon maturing on the same te eacash flow. The value of this bon 103.7815, is calculatefollows:Notes:1. Spot rates calculateusing bootstrapping; for example: Ye2 spot rate ( Z2 ): 100=1.5/1.0125+101.5/(1+Z2)2=0.015019 100=1.5/1.0125+101.5/{(1+Z_2)}^2=0.015019100=1.5/1.0125+101.5/(1+Z2​)2=0.0150192. Present value calculateusing the formula PV=FV/(1+r)n PV=FV/{(1+r)}^nPV=FV/(1+r)n,where n= number of years until cash flow, FV= cash flow amount, anr= spot rate.A is incorrebecause the prion the Eurex exchange, €103.7956, wcalculateusing the yielto maturity rate to scount the cash flows when the spot rates shoulhave been use C is incorrebecause the prion the Frankfurt exchange, €103.7565, uses the Ye3 spot rate to scount all the cash flows.考点Introction of Arbitrage Free Valuation债券的无套利价格是用spot rate对债券的现金流进行折现得到的。 Exhibit 2中给的是1,2,3年期的Prates,因此通过Bootstrapping的方式,由前向后推导出各个spot rate。已知1-yeprate等于1.25%,则1-yespot rate也等于1.25%第二年spot rate计算 100= 1.5/1.0125 + 101.5/(1+ Z2 )^2,所以Z2 =1.5019% 同理,我们可以计算出第三年的Spot rate:100= 1.7/1.0125 + 1.7/ (1.015019)^2 + 101.7/(1+ S3)^3,所以Z3 =1.7049%算得债券的价值为103.7815,所以NYSE Euronext这个交易所定价是合理的。 PMT=3FV=100I/Y=1.7%n=3

2024-07-22 22:18 1 · 回答

NO.PZ201602270200001802 问题如下 2. Baseon Exhibits 1 an2, the exchange threflects the arbitrage-free priof the bonis: A.Eurex. B.Frankfurt. C.NYSE Euronext. C is correct.The bonfrom Exhibit 1 is selling for its calculatevalue on the NYSE Euronext exchange. The arbitrage-free value of a bonis the present value of its cash flows scountethe spot rate for zero coupon bon maturing on the same te eacash flow. The value of this bon 103.7815, is calculatefollows:Notes:1. Spot rates calculateusing bootstrapping; for example: Ye2 spot rate ( Z2 ): 100=1.5/1.0125+101.5/(1+Z2)2=0.015019 100=1.5/1.0125+101.5/{(1+Z_2)}^2=0.015019100=1.5/1.0125+101.5/(1+Z2​)2=0.0150192. Present value calculateusing the formula PV=FV/(1+r)n PV=FV/{(1+r)}^nPV=FV/(1+r)n,where n= number of years until cash flow, FV= cash flow amount, anr= spot rate.A is incorrebecause the prion the Eurex exchange, €103.7956, wcalculateusing the yielto maturity rate to scount the cash flows when the spot rates shoulhave been use C is incorrebecause the prion the Frankfurt exchange, €103.7565, uses the Ye3 spot rate to scount all the cash flows.考点Introction of Arbitrage Free Valuation债券的无套利价格是用spot rate对债券的现金流进行折现得到的。 Exhibit 2中给的是1,2,3年期的Prates,因此通过Bootstrapping的方式,由前向后推导出各个spot rate。已知1-yeprate等于1.25%,则1-yespot rate也等于1.25%第二年spot rate计算 100= 1.5/1.0125 + 101.5/(1+ Z2 )^2,所以Z2 =1.5019% 同理,我们可以计算出第三年的Spot rate:100= 1.7/1.0125 + 1.7/ (1.015019)^2 + 101.7/(1+ S3)^3,所以Z3 =1.7049%算得债券的价值为103.7815,所以NYSE Euronext这个交易所定价是合理的。 请问 根据YTM计算spot rate 是在哪里讲到的?

2024-06-16 09:40 1 · 回答

NO.PZ201602270200001802 问题如下 2. Baseon Exhibits 1 an2, the exchange threflects the arbitrage-free priof the bonis: A.Eurex. B.Frankfurt. C.NYSE Euronext. C is correct.The bonfrom Exhibit 1 is selling for its calculatevalue on the NYSE Euronext exchange. The arbitrage-free value of a bonis the present value of its cash flows scountethe spot rate for zero coupon bon maturing on the same te eacash flow. The value of this bon 103.7815, is calculatefollows:Notes:1. Spot rates calculateusing bootstrapping; for example: Ye2 spot rate ( Z2 ): 100=1.5/1.0125+101.5/(1+Z2)2=0.015019 100=1.5/1.0125+101.5/{(1+Z_2)}^2=0.015019100=1.5/1.0125+101.5/(1+Z2​)2=0.0150192. Present value calculateusing the formula PV=FV/(1+r)n PV=FV/{(1+r)}^nPV=FV/(1+r)n,where n= number of years until cash flow, FV= cash flow amount, anr= spot rate.A is incorrebecause the prion the Eurex exchange, €103.7956, wcalculateusing the yielto maturity rate to scount the cash flows when the spot rates shoulhave been use C is incorrebecause the prion the Frankfurt exchange, €103.7565, uses the Ye3 spot rate to scount all the cash flows.考点Introction of Arbitrage Free Valuation债券的无套利价格是用spot rate对债券的现金流进行折现得到的。 Exhibit 2中给的是1,2,3年期的Prates,因此通过Bootstrapping的方式,由前向后推导出各个spot rate。已知1-yeprate等于1.25%,则1-yespot rate也等于1.25%第二年spot rate计算 100= 1.5/1.0125 + 101.5/(1+ Z2 )^2,所以Z2 =1.5019% 同理,我们可以计算出第三年的Spot rate:100= 1.7/1.0125 + 1.7/ (1.015019)^2 + 101.7/(1+ S3)^3,所以Z3 =1.7049%算得债券的价值为103.7815,所以NYSE Euronext这个交易所定价是合理的。 这题目问啥呢?‘Exhibit 4 presents most of the ta of the implievalues for a four-year, option-free, annupbonwith a 2.5% coupon baseon the information in Exhibit 3.。答案我也没看懂,怎么算的?

2023-02-19 18:38 1 · 回答

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2023-01-30 16:22 1 · 回答

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2022-09-05 17:16 1 · 回答