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

C_M_ · 2024年09月22日

AD

NO.PZ2023100703000085

问题如下:

Model 1 assumes zero drift and is also called a normal model. Model 2 add a term for drift. Each of the following is true about these two models except for:

选项:

A.A weakness of Model 1 is that the short-term rate can become negative. B.Model 1 implies a term structure that is perfectly flat at the current rate for all maturities, including the long-term rates. C.Model 2 is more capable of producing an upward-sloping term structure, which is often observed. D.Model 2 is an equilibrium model, rather than an arbitrage-free model, because no attempt is made to match the term structure closely.

解释:

Under Model 1, it is true that the middle node recombines to the same current node. But these are future short-term rates; they are not the term structure: the term structure is spot rates at all maturities. Models that take the initial term structure implied by market prices are called arbitrage-free models. A different approach, however, is to start with assumptions about the interest rate process and about the risk premium demanded by the market for bearing interest rate risk and then derive the risk-neutral process. Models of this sort do not necessarily match the initial term structure and are called equilibrium models.

请解释一下AD

1 个答案

pzqa39 · 2024年09月22日

嗨,爱思考的PZer你好:


题干说的Model 1是没有漂移项drift的(Drift其实就是μ),model 2加入了drift。选出描述错误的选项。


model 1因为是没有Drift,是随机波动的,所以短期利率有可能是负数,这是他的缺陷。所以A正确。


model 2没有用到初始的市场定价(市场利率)的数据,而是假定利率符合某种趋势,服从某个走势,然后推导出利率的期限结构。所以model 2不是无套利定价的模型, D 正确

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

  • 1

    回答
  • 0

    关注
  • 74

    浏览
相关问题

NO.PZ2023100703000085 问题如下 Mol 1 assumes zero ift anis also callea normmol. Mol 2 a a term for ift. Eaof the following is true about these two mols except for: A.A weakness of Mol 1 is ththe short-term rate cbecome negative. B.Mol 1 implies a term structure this perfectly flthe current rate for all maturities, inclung the long-term rates. C.Mol 2 is more capable of procing upwarsloping term structure, whiis often observe Mol 2 is equilibrium mol, rather tharbitrage-free mol, because no attempt is ma to matthe term structure closely. Unr Mol 1, it is true ththe mile no recombines to the same current no. But these are future short-term rates; they are not the term structure: the term structure is spot rates all maturities. Mols thtake the inititerm structure impliemarket prices are callearbitrage-free mols. A fferent approach, however, is to start with assumptions about the interest rate process anabout the risk premium manthe market for bearing interest rate risk anthen rive the risk-neutrprocess. Mols of this sort not necessarily matthe inititerm structure anare calleequilibrium mols. B为什么不对,题干里没说M1是针对短期利率的呀

2024-11-12 17:08 1 · 回答

NO.PZ2023100703000085 问题如下 Mol 1 assumes zero ift anis also callea normmol. Mol 2 a a term for ift. Eaof the following is true about these two mols except for: A.A weakness of Mol 1 is ththe short-term rate cbecome negative. B.Mol 1 implies a term structure this perfectly flthe current rate for all maturities, inclung the long-term rates. C.Mol 2 is more capable of procing upwarsloping term structure, whiis often observe Mol 2 is equilibrium mol, rather tharbitrage-free mol, because no attempt is ma to matthe term structure closely. Unr Mol 1, it is true ththe mile no recombines to the same current no. But these are future short-term rates; they are not the term structure: the term structure is spot rates all maturities. Mols thtake the inititerm structure impliemarket prices are callearbitrage-free mols. A fferent approach, however, is to start with assumptions about the interest rate process anabout the risk premium manthe market for bearing interest rate risk anthen rive the risk-neutrprocess. Mols of this sort not necessarily matthe inititerm structure anare calleequilibrium mols. B错哪了?

2024-11-02 19:14 1 · 回答

NO.PZ2023100703000085 问题如下 Mol 1 assumes zero ift anis also callea normmol. Mol 2 a a term for ift. Eaof the following is true about these two mols except for: A.A weakness of Mol 1 is ththe short-term rate cbecome negative. B.Mol 1 implies a term structure this perfectly flthe current rate for all maturities, inclung the long-term rates. C.Mol 2 is more capable of procing upwarsloping term structure, whiis often observe Mol 2 is equilibrium mol, rather tharbitrage-free mol, because no attempt is ma to matthe term structure closely. Unr Mol 1, it is true ththe mile no recombines to the same current no. But these are future short-term rates; they are not the term structure: the term structure is spot rates all maturities. Mols thtake the inititerm structure impliemarket prices are callearbitrage-free mols. A fferent approach, however, is to start with assumptions about the interest rate process anabout the risk premium manthe market for bearing interest rate risk anthen rive the risk-neutrprocess. Mols of this sort not necessarily matthe inititerm structure anare calleequilibrium mols. 是除了Mol 1 都是equilibrium mols么

2024-08-03 10:34 2 · 回答