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

大白 · 2022年03月24日

时间段请问怎么判断

NO.PZ2019010402000059

问题如下:

One months ago, Harvey took a short position in five 10-year Canadian government bond forward contracts, with each contract having a contract notional value of 100 million CAD. when the contracts were purchased, the contracts had a price of CAD 146 (quoted as a percentage of par). Now, the contracts have three months left to expiration, and have a price of CAD 148. The annualized three-month interest rate is 0.15%. The value of the forward contract is :

选项:

A.

- CAD9,996,500

B.

CAD9,996,500

C.

CAD1,999,300

解释:

A is correct

本题考察的是重新定价法求远期合约的价值。

For the long position:

Vt =PV[Ft -F0 ]=(148-146)/(1+0.0015)90/360 = 1.9993

1.9993/100 * 100,000,000 * 5= CAD9,996,500

本题求解的是short position,因此取负号为 - CAD9,996,500

为什么是90/360,感觉题目意思现在在1时刻,还有三个月到期 不应该是一时刻148 再减146向前折一期吗?

1 个答案

Lucky_品职助教 · 2022年03月26日

嗨,努力学习的PZer你好:


用90/360是因为题目没有说这个利率是continuously compounded

这道题目给到了一开始远期合约的价格和现在远期合约的价格,因此直接使用重新定价法对远期合约估值即可。我们现在是在1时点,距离到期还有3个月即到期是在4时点,因此在1时点估值时要折3个月

----------------------------------------------
加油吧,让我们一起遇见更好的自己!

  • 1

    回答
  • 0

    关注
  • 440

    浏览
相关问题

NO.PZ2019010402000059问题如下 One months ago, Harveytook a short position in five 10-yeCanagovernment bonforwarontracts, with eacontrahaving a contranotionvalue of 100 millionCA when the contracts were purchase the contracts ha priof C146(quotea percentage of par). Now,the contracts have three months left to expiration, anhave a priof C148.The annualizethree-month interest rate is 0.15%. The value of the forwarontrais : A.- CA,996,500B.CA,996,500C.CA,999,300 A is correct本题考察的是重新定价法求远期合约的价值。For the long position: Vt =PV[Ft -F0 ]=(148-146)/(1+0.0015)90/360 = 1.99931.9993/100 * 100,000,000 * 5= CA,996,500本题求解的是short position,因此取负号为 - CA,996,500 为什么这边的利率里的时间是在括号外面,而在FRA相关内容中是在括号里面,二者为什么形式不同呢

2024-02-02 18:39 1 · 回答

NO.PZ2019010402000059 问题如下 One months ago, Harveytook a short position in five 10-yeCanagovernment bonforwarontracts, with eacontrahaving a contranotionvalue of 100 millionCA when the contracts were purchase the contracts ha priof C146(quotea percentage of par). Now,the contracts have three months left to expiration, anhave a priof C148.The annualizethree-month interest rate is 0.15%. The value of the forwarontrais : A.- CA,996,500 B.CA,996,500 C.CA,999,300 A is correct本题考察的是重新定价法求远期合约的价值。For the long position: Vt =PV[Ft -F0 ]=(148-146)/(1+0.0015)90/360 = 1.99931.9993/100 * 100,000,000 * 5= CA,996,500本题求解的是short position,因此取负号为 - CA,996,500 为什么要除100?

2023-11-02 23:27 1 · 回答

NO.PZ2019010402000059 问题如下 One months ago, Harveytook a short position in five 10-yeCanagovernment bonforwarontracts, with eacontrahaving a contranotionvalue of 100 millionCA when the contracts were purchase the contracts ha priof C146(quotea percentage of par). Now,the contracts have three months left to expiration, anhave a priof C148.The annualizethree-month interest rate is 0.15%. The value of the forwarontrais : A.- CA,996,500 B.CA,996,500 C.CA,999,300 A is correct本题考察的是重新定价法求远期合约的价值。For the long position: Vt =PV[Ft -F0 ]=(148-146)/(1+0.0015)90/360 = 1.99931.9993/100 * 100,000,000 * 5= CA,996,500本题求解的是short position,因此取负号为 - CA,996,500 为什么不用长期国债定价公式呢FP=(FP bon*(1+r)^t-T-FVCouponunrlying是bon

2023-10-26 01:38 1 · 回答

NO.PZ2019010402000059 问题如下 One months ago, Harveytook a short position in five 10-yeCanagovernment bonforwarontracts, with eacontrahaving a contranotionvalue of 100 millionCA when the contracts were purchase the contracts ha priof C146(quotea percentage of par). Now,the contracts have three months left to expiration, anhave a priof C148.The annualizethree-month interest rate is 0.15%. The value of the forwarontrais : A.- CA,996,500 B.CA,996,500 C.CA,999,300 A is correct本题考察的是重新定价法求远期合约的价值。For the long position: Vt =PV[Ft -F0 ]=(148-146)/(1+0.0015)90/360 = 1.99931.9993/100 * 100,000,000 * 5= CA,996,500本题求解的是short position,因此取负号为 - CA,996,500 148不是现值吗?我理解应该用148-PV146啊?

2023-10-16 09:25 1 · 回答

NO.PZ2019010402000059问题如下 One months ago, Harveytook a short position in five 10-yeCanagovernment bonforwarontracts, with eacontrahaving a contranotionvalue of 100 millionCA when the contracts were purchase the contracts ha priof C146(quotea percentage of par). Now,the contracts have three months left to expiration, anhave a priof C148.The annualizethree-month interest rate is 0.15%. The value of the forwarontrais : A.- CA,996,500B.CA,996,500C.CA,999,300 A is correct本题考察的是重新定价法求远期合约的价值。For the long position: Vt =PV[Ft -F0 ]=(148-146)/(1+0.0015)90/360 = 1.99931.9993/100 * 100,000,000 * 5= CA,996,500本题求解的是short position,因此取负号为 - CA,996,500 如题,麻烦老师用画图法帮忙求一遍过程

2023-10-05 22:50 2 · 回答