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

我们 · 2021年05月04日

请问这里折现的时候,为什么不用加上coupon7呢?

NO.PZ2018122701000063

问题如下:

A European put option, which would be expired in two years, has a strike price of $101.00. The underlying bond has three years to maturity with 7% annual coupon. It is known that the risk-neutral probability of an downward move is 0.3 in year 1 and 0.4 in year 2. The current interest rate is 3.00% At the end of year l, the rate will either be 5.88% or 4.66%. If the rate in year 1 is 5.88%, it will either rise to 8.56% or rise to 6.34% in year 2. If the rate in year 1 is 4.66%, it will either rise to 6.34% or decrease to 4.58%. The value of the put option today is closest to:

选项:

A.

$1.10.

B.

$1.32.

C.

$1.48.

D.

$1.99.

解释:

A is correct.

考点:Option on bond

解析:

先求出两年后的 bond value 在利率为 8.56%, 6.34%, 4.58% 时分别为 98.56, 100.62, 102.31,对应 put option value 分别为 2.44, 0.38, 0

The option value in the upper node at the end of year 1 is computed as:

($2.44×0.6)+($0.38×0.4)1.0588=$1.52\frac{{(\$2.44\times0.6)}+{(\$0.38\times0.4)}}{1.0588}=\$1.52

The option value in the lower node at the end of year 1 is computed as:

($0.38×0.6)+($0.00×0.4)1.0466=$0.22\frac{{(\$0.38\times0.6)}+{(\$0.00\times0.4)}}{1.0466}=\$0.22

The option value today is computed as:

($1.52×0.7)+($0.22×0.3)1.0300=$1.10\frac{{(\$1.52\times0.7)}+{(\$0.22\times0.3)}}{1.0300}=\$1.10

请问这里折现的时候,为什么不用加上coupon7呢?
1 个答案

小刘_品职助教 · 2021年05月05日

同学你好,

因为这个题目是在算option的价值,在算B2+-的时候已经把coupon算进去了,但是在算option的时候和债券无关,所以不能再加coupon,这边如果不太理解的话建议回去再听听基础班的课,是个很重要的考点。 1.5倍速21分钟左右,例题可以再学习一下

  • 1

    回答
  • 0

    关注
  • 523

    浏览
相关问题

NO.PZ2018122701000063 问题如下 A Europeput option, whiwoulexpirein two years, ha strike priof $101.00. The unrlying bonhthree years to maturity with 7% annucoupon. It is known ththe risk-neutrprobability of wnwarmove is 0.3 in ye1 an0.4 in ye2. The current interest rate is 3.00% the enof yel, the rate will either 5.88% or 4.66%. If the rate in ye1 is 5.88%, it will either rise to 8.56% or rise to 6.34% in ye2. If the rate in ye1 is 4.66%, it will either rise to 6.34% or crease to 4.58%. The value of the put option toy is closest to: A.$1.10. B.$1.32. C.$1.48. $1.99. A is correct.考点Option on bon析先求出两年后的 bonvalue 在利率为 8.56%, 6.34%, 4.58% 时分别为 98.56, 100.62, 102.31,对应 put option value 分别为 2.44, 0.38, 0The option value in the upper no the enof ye1 is computeas:($2.44×0.6)+($0.38×0.4)1.0588=$1.52\frac{{(\$2.44\times0.6)}+{(\$0.38\times0.4)}}{1.0588}=\$1.521.0588($2.44×0.6)+($0.38×0.4)​=$1.52The option value in the lower no the enof ye1 is computeas:($0.38×0.6)+($0.00×0.4)1.0466=$0.22\frac{{(\$0.38\times0.6)}+{(\$0.00\times0.4)}}{1.0466}=\$0.221.0466($0.38×0.6)+($0.00×0.4)​=$0.22The option value toy is computeas:($1.52×0.7)+($0.22×0.3)1.0300=$1.10\frac{{(\$1.52\times0.7)}+{(\$0.22\times0.3)}}{1.0300}=\$1.101.0300($1.52×0.7)+($0.22×0.3)​=$1.10 如题

2024-03-08 00:36 2 · 回答

NO.PZ2018122701000063问题如下 A Europeput option, whiwoulexpirein two years, ha strike priof $101.00. The unrlying bonhthree years to maturity with 7% annucoupon. It is known ththe risk-neutrprobability of wnwarmove is 0.3 in ye1 an0.4 in ye2. The current interest rate is 3.00% the enof yel, the rate will either 5.88% or 4.66%. If the rate in ye1 is 5.88%, it will either rise to 8.56% or rise to 6.34% in ye2. If the rate in ye1 is 4.66%, it will either rise to 6.34% or crease to 4.58%. The value of the put option toy is closest to: A.$1.10.B.$1.32.C.$1.48.$1.99. A is correct.考点Option on bon析先求出两年后的 bonvalue 在利率为 8.56%, 6.34%, 4.58% 时分别为 98.56, 100.62, 102.31,对应 put option value 分别为 2.44, 0.38, 0The option value in the upper no the enof ye1 is computeas:($2.44×0.6)+($0.38×0.4)1.0588=$1.52\frac{{(\$2.44\times0.6)}+{(\$0.38\times0.4)}}{1.0588}=\$1.521.0588($2.44×0.6)+($0.38×0.4)​=$1.52The option value in the lower no the enof ye1 is computeas:($0.38×0.6)+($0.00×0.4)1.0466=$0.22\frac{{(\$0.38\times0.6)}+{(\$0.00\times0.4)}}{1.0466}=\$0.221.0466($0.38×0.6)+($0.00×0.4)​=$0.22The option value toy is computeas:($1.52×0.7)+($0.22×0.3)1.0300=$1.10\frac{{(\$1.52\times0.7)}+{(\$0.22\times0.3)}}{1.0300}=\$1.101.0300($1.52×0.7)+($0.22×0.3)​=$1.10 Bonvalue 具体计算过程

2024-01-18 15:39 1 · 回答

NO.PZ2018122701000063 问题如下 A Europeput option, whiwoulexpirein two years, ha strike priof $101.00. The unrlying bonhthree years to maturity with 7% annucoupon. It is known ththe risk-neutrprobability of wnwarmove is 0.3 in ye1 an0.4 in ye2. The current interest rate is 3.00% the enof yel, the rate will either 5.88% or 4.66%. If the rate in ye1 is 5.88%, it will either rise to 8.56% or rise to 6.34% in ye2. If the rate in ye1 is 4.66%, it will either rise to 6.34% or crease to 4.58%. The value of the put option toy is closest to: A.$1.10. B.$1.32. C.$1.48. $1.99. A is correct.考点Option on bon析先求出两年后的 bonvalue 在利率为 8.56%, 6.34%, 4.58% 时分别为 98.56, 100.62, 102.31,对应 put option value 分别为 2.44, 0.38, 0The option value in the upper no the enof ye1 is computeas:($2.44×0.6)+($0.38×0.4)1.0588=$1.52\frac{{(\$2.44\times0.6)}+{(\$0.38\times0.4)}}{1.0588}=\$1.521.0588($2.44×0.6)+($0.38×0.4)​=$1.52The option value in the lower no the enof ye1 is computeas:($0.38×0.6)+($0.00×0.4)1.0466=$0.22\frac{{(\$0.38\times0.6)}+{(\$0.00\times0.4)}}{1.0466}=\$0.221.0466($0.38×0.6)+($0.00×0.4)​=$0.22The option value toy is computeas:($1.52×0.7)+($0.22×0.3)1.0300=$1.10\frac{{(\$1.52\times0.7)}+{(\$0.22\times0.3)}}{1.0300}=\$1.101.0300($1.52×0.7)+($0.22×0.3)​=$1.10 解析中的bonprice是不是错了?我的计算是N=3, I/Y=8.56, PMT=7, FV=100 求出PV=96.02N=3, I/Y=6.34, PMT=7, FV=100 求出PV=101.753N=3, I/Y=4.58, PMT=7, FV=100 求出PV=106.64

2023-08-17 10:57 1 · 回答

NO.PZ2018122701000063 “先求出两年后的 bonvalue 在利率为 8.56%, 6.34%, 4.58% 时分别为 98.56, 100.62, 102.31”——请问具体如何计算得出?0.6和0.4的概率怎么运用,6.34%既是5.88%的往下版,又是4.66%的网上版。

2021-08-07 16:29 1 · 回答