问题如下图:
选项:
A.
B.
C.
解释:
根据以前的定义:
c + k=p + s=fiduciary call
protective put = -p + s
fiduciary call 如何等于 protective put + f(其实就是s) ?
竹子 · 2018年09月06日
如果是 protective put with stock,那么C+K=P+S,fiduciary call=protective put,这个应该没有问题。
回忆一下,我们知道long asset+short forward=long risk free(购买有风险的资产同时short forward可以转移风险,获得无风险收益)
那么long asset=long risk free+long forward,我们将long risk free看作是long bond(面值为FP),将
long asset=long bond+long forward
代入 protective put,即P+S=long put+long bond( 面值为FP)+long forward,等式右边也称为protective put with forward
我们可以发现无论期末股票价格如何变化, fiduciary call与protective put with forward的结果是相同的。(可以自己尝试写一下,如果有困难欢迎再追问)
既然期末的outcome是相同的,所以期初构建两个portfolio的成本也应该相同。
fiduciary call的成本=C0+K/(1+rf)^T,而
protective put with forward的成本为P0+FP/(1+rf)^T( long forward期初不支付现金,所以没有成本)
这样就能得到put call parity with forward的公式了,即
C0+K/(1+rf)^T=P0+FP/(1+rf)^T
NO.PZ2018062007000051问题如下 Whiof the following statements best scribes put-call-forwarparity?A.A ficiary call is equivalent to a protective put with a forwarcontract.B.A ficiary call is equivalent to a protective put.C.A ficiary call is equivalent to the combination of short put plus long risk-free bonanlong a forwarcontract. A is correct. Accorng to put-call-forwarpartiy, a ficiary call is equivalent to synthetic protective put.中文解析C+K=P+S,ficiary call=protective putlong asset+short forwarlong risk free bon(购买有风险的资产同时short forwar以转移风险,获得无风险收益)那么long asset=long risk free bon+long forwar risk free bon面值为FP,将long asset=long bonlong forwar入 protective put,即P+S=long put+long bon 面值为FP)+long forwar等式右边也称为protective put with forwar们可以发现无论期末股票价格如何变化, ficiary call 与 synthetic protective put 的结果是相同的。既然期末的outcome是相同的,所以期初构建两个portfolio的成本也应该相同。ficiary call的成本=C0+K/(1+rf)^T,而synthetic protective put 的成本为P0+FP/(1+rf)^T( long forwar初不支付现金,所以没有成本)这样就能得到put call parity with forwar公式了,即C0+K/(1+rf)^T=P0+FP/(1+rf)^T 请问B怎么错了呢,没搞懂
NO.PZ2018062007000051 问题如下 Whiof the following statements best scribes put-call-forwarparity? A.A ficiary call is equivalent to a protective put with a forwarcontract. B.A ficiary call is equivalent to a protective put. C.A ficiary call is equivalent to the combination of short put plus long risk-free bonanlong a forwarcontract. A is correct. Accorng to put-call-forwarpartiy, a ficiary call is equivalent to synthetic protective put.中文解析C+K=P+S,ficiary call=protective putlong asset+short forwarlong risk free bon(购买有风险的资产同时short forwar以转移风险,获得无风险收益)那么long asset=long risk free bon+long forwar risk free bon面值为FP,将long asset=long bonlong forwar入 protective put,即P+S=long put+long bon 面值为FP)+long forwar等式右边也称为protective put with forwar们可以发现无论期末股票价格如何变化, ficiary call 与 synthetic protective put 的结果是相同的。既然期末的outcome是相同的,所以期初构建两个portfolio的成本也应该相同。ficiary call的成本=C0+K/(1+rf)^T,而synthetic protective put 的成本为P0+FP/(1+rf)^T( long forwar初不支付现金,所以没有成本)这样就能得到put call parity with forwar公式了,即C0+K/(1+rf)^T=P0+FP/(1+rf)^T 左边是Ficiary call,右边是Protective put,正好相等。
NO.PZ2018062007000051 问题如下 Whiof the following statements best scribes put-call-forwarparity? A.A ficiary call is equivalent to a protective put with a forwarcontract. B.A ficiary call is equivalent to a protective put. C.A ficiary call is equivalent to the combination of short put plus long risk-free bonanlong a forwarcontract. A is correct. Accorng to put-call-forwarpartiy, a ficiary call is equivalent to synthetic protective put.中文解析C+K=P+S,ficiary call=protective putlong asset+short forwarlong risk free bon(购买有风险的资产同时short forwar以转移风险,获得无风险收益)那么long asset=long risk free bon+long forwar risk free bon面值为FP,将long asset=long bonlong forwar入 protective put,即P+S=long put+long bon 面值为FP)+long forwar等式右边也称为protective put with forwar们可以发现无论期末股票价格如何变化, ficiary call 与 synthetic protective put 的结果是相同的。既然期末的outcome是相同的,所以期初构建两个portfolio的成本也应该相同。ficiary call的成本=C0+K/(1+rf)^T,而synthetic protective put 的成本为P0+FP/(1+rf)^T( long forwar初不支付现金,所以没有成本)这样就能得到put call parity with forwar公式了,即C0+K/(1+rf)^T=P0+FP/(1+rf)^T 就因为没有FORWAR
NO.PZ2018062007000051 问题如下 Whiof the following statements best scribes put-call-forwarparity? A.A ficiary call is equivalent to a protective put with a forwarcontract. B.A ficiary call is equivalent to a protective put. C.A ficiary call is equivalent to the combination of short put plus long risk-free bonanlong a forwarcontract. A is correct. Accorng to put-call-forwarpartiy, a ficiary call is equivalent to a protective put with a forwarcontract.中文解析C+K=P+S,ficiary call=protective putlong asset+short forwarlong risk free bon(购买有风险的资产同时short forwar以转移风险,获得无风险收益)那么long asset=long risk free bon+long forwar risk free bon面值为FP,将long asset=long bonlong forwar入 protective put,即P+S=long put+long bon 面值为FP)+long forwar等式右边也称为protective put with forwar们可以发现无论期末股票价格如何变化, ficiary call与protective put with forwar结果是相同的。既然期末的outcome是相同的,所以期初构建两个portfolio的成本也应该相同。ficiary call的成本=C0+K/(1+rf)^T,而protective put with forwar成本为P0+FP/(1+rf)^T( long forwar初不支付现金,所以没有成本)这样就能得到put call parity with forwar公式了,即C0+K/(1+rf)^T=P0+FP/(1+rf)^T 看老师的讲解里面long asset+short forwarlong risk free这个公式,不知道可否详细讲解一下。short forwar点不是很理解。谢谢!
NO.PZ2018062007000051 问题如下 Whiof the following statements best scribes put-call-forwarparity? A.A ficiary call is equivalent to a protective put with a forwarcontract. B.A ficiary call is equivalent to a protective put. C.A ficiary call is equivalent to the combination of short put plus long risk-free bonanlong a forwarcontract. A is correct. Accorng to put-call-forwarpartiy, a ficiary call is equivalent to a protective put with a forwarcontract.中文解析C+K=P+S,ficiary call=protective putlong asset+short forwarlong risk free bon(购买有风险的资产同时short forwar以转移风险,获得无风险收益)那么long asset=long risk free bon+long forwar risk free bon面值为FP,将long asset=long bonlong forwar入 protective put,即P+S=long put+long bon 面值为FP)+long forwar等式右边也称为protective put with forwar们可以发现无论期末股票价格如何变化, ficiary call与protective put with forwar结果是相同的。既然期末的outcome是相同的,所以期初构建两个portfolio的成本也应该相同。ficiary call的成本=C0+K/(1+rf)^T,而protective put with forwar成本为P0+FP/(1+rf)^T( long forwar初不支付现金,所以没有成本)这样就能得到put call parity with forwar公式了,即C0+K/(1+rf)^T=P0+FP/(1+rf)^T 代入 protective put,即P+S=long put+long bon 面值为FP)+long forwar等式右边也称为protective put with forwar请问protective put 难道不是long asset+long put吗?