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

水瓶公主 · 2023年03月24日

可以直接用远期利率计算吗?

NO.PZ2019070101000039

问题如下:

The current 1-year spot rate = 5%, the 1-year forward rate one year from today is 6.65%, the 1-year forward rate two years from today = 7.82%, 1-year forward rate three years from today is 8.45%. What's the price of a 4-year bond?The bond has a par value of 100 and has a coupon rate of 8% paid annually.

选项:

A.

$101.211.

B.

$98.987.

C.

$103.875.

D.

$105.245.

解释:

C is correct

考点:Forward Rate 计算

解析:

先计算spot rate:

S1=5%

S2=[(1.05)(1.0665)]1/2-1=5.82%

S3=[(1.05)(1.0665)(1.0782)]1/3-1=6.48%

S4=[(1.05)(1.0665)(1.0782)(1.0845)]1/4-1=6.97%

第二步,计算债券价格

P=$81.05+$81.05822+$81.06483+$1081.06974=$103.875\text{P=}\frac{\$8}{1.05}+\frac{\$8}{1.0582^2}+\frac{\$8}{1.0648^3}+\frac{\$108}{1.0697^4}=\$103.875

8/(1.05*1.0665)+8/(1.05+1.0665*1.0784)…

1 个答案

李坏_品职助教 · 2023年03月24日

嗨,从没放弃的小努力你好:


用远期利率算也是可以的。

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

  • 1

    回答
  • 0

    关注
  • 319

    浏览
相关问题

NO.PZ2019070101000039 问题如下 The current 1-yespot rate = 5%, the 1-yeforwarrate one yefrom toy is 6.65%, the 1-yeforwarrate two years from toy = 7.82%, 1-yeforwarrate three years from toy is 8.45%. What's the priof a 4-yebonThe bonha pvalue of 100 anha coupon rate of 8% paiannually. A.$101.211. B.$98.987. C.$103.875. $105.245. C is correct考点ForwarRate 计算解析先计算spot rateS1=5%S2=[(1.05)(1.0665)]1/2-1=5.82%S3=[(1.05)(1.0665)(1.0782)]1/3-1=6.48%S4=[(1.05)(1.0665)(1.0782)(1.0845)]1/4-1=6.97% 第二步,计算债券价格P=$81.05+$81.05822+$81.06483+$1081.06974=$103.875\text{P=}\frac{\$8}{1.05}+\frac{\$8}{1.0582^2}+\frac{\$8}{1.0648^3}+\frac{\$108}{1.0697^4}=\$103.875P=1.05$8​+1.05822$8​+1.06483$8​+1.06974$108​=$103.875 8/(1.05)+8/(1.05*1.065)+8/(1.05*1.065*1.0782)+108/(1.05*1.0665*1.0782*1.0845%)

2022-05-03 21:24 1 · 回答

NO.PZ2019070101000039问题如下The current 1-yespot rate = 5%, the 1-yeforwarrate one yefrom toy is 6.65%, the 1-yeforwarrate two years from toy = 7.82%, 1-yeforwarrate three years from toy is 8.45%. What's the priof a 4-yebonThe bonha pvalue of 100 anha coupon rate of 8% paiannually. A.$101.211. B.$98.987. C.$103.875. $105.245. C is correct考点ForwarRate 计算解析先计算spot rateS1=5%S2=[(1.05)(1.0665)]1/2-1=5.82%S3=[(1.05)(1.0665)(1.0782)]1/3-1=6.48%S4=[(1.05)(1.0665)(1.0782)(1.0845)]1/4-1=6.97% 第二步,计算债券价格P=$81.05+$81.05822+$81.06483+$1081.06974=$103.875\text{P=}\frac{\$8}{1.05}+\frac{\$8}{1.0582^2}+\frac{\$8}{1.0648^3}+\frac{\$108}{1.0697^4}=\$103.875P=1.05$8​+1.05822$8​+1.06483$8​+1.06974$108​=$103.875 这道题不算spot rate,直接用forwarrate可以吗比如第四期CF折现 108 / (1+f3)(1+f2)(1+f1)(1+s1)

2022-04-08 11:31 1 · 回答

NO.PZ2019070101000039 Forwarrate对应的具体位置还是有点模糊,视频里是往回倒推1期,还是麻烦画个图看的清楚点

2021-10-18 09:35 1 · 回答

老师 这道题的意思我觉得是1到3年的远期利率为7.82% 。所以3年的即期利率是(1+5%)*(1+7.82%)的平方 整体再打包开三次方-1

2019-10-23 09:49 1 · 回答