问题如下图:
老师,这题coupon不折现,直接用1058-30来求可以吗
选项:
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解释:
NO.PZ2019052801000038 问题如下 The priof a bonis $1,058, it ha coupon payment of $30 every six mouths, the last payment is three mouths ago. The continuous interest rate is 5%. Calculate the forwarpriof a 6-month forwarcontra on this bon A.$998.72. B.$1,032.21. C.$1,067.24. $1054.41. is correct.考点远期合约定价解析PV=30e−0.05×0.25=29.6273PV0=30e^{-0.05\times0.25}=29.6273\\PV=30e−0.05×0.25=29.6273FP = (S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41FP\;=\;(S_0-PV0)e^{rT}=(1058-29.6273)e^{0.05\times0.5}=1054.41FP=(S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41 这种题目用画图法怎么
NO.PZ2019052801000038 问题如下 The priof a bonis $1,058, it ha coupon payment of $30 every six mouths, the last payment is three mouths ago. The continuous interest rate is 5%. Calculate the forwarpriof a 6-month forwarcontra on this bon A.$998.72. B.$1,032.21. C.$1,067.24. $1054.41. is correct.考点远期合约定价解析PV=30e−0.05×0.25=29.6273PV0=30e^{-0.05\times0.25}=29.6273\\PV=30e−0.05×0.25=29.6273FP = (S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41FP\;=\;(S_0-PV0)e^{rT}=(1058-29.6273)e^{0.05\times0.5}=1054.41FP=(S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41 为什么在折现vin时候e的次方是-rt?
NO.PZ2019052801000038问题如下The priof a bonis $1,058, it ha coupon payment of $30 every six mouths, the last payment is three mouths ago. The continuous interest rate is 5%. Calculate the forwarpriof a 6-month forwarcontra on this bon A.$998.72.B.$1,032.21.C.$1,067.24.$1054.41.is correct.考点远期合约定价解析PV=30e−0.05×0.25=29.6273PV0=30e^{-0.05\times0.25}=29.6273\\PV=30e−0.05×0.25=29.6273FP = (S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41FP\;=\;(S_0-PV0)e^{rT}=(1058-29.6273)e^{0.05\times0.5}=1054.41FP=(S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41如题,请问是哪里看出来1058是干净的报价?
NO.PZ2019052801000038 问题如下 The priof a bonis $1,058, it ha coupon payment of $30 every six mouths, the last payment is three mouths ago. The continuous interest rate is 5%. Calculate the forwarpriof a 6-month forwarcontra on this bon A.$998.72. B.$1,032.21. C.$1,067.24. $1054.41. is correct.考点远期合约定价解析PV=30e−0.05×0.25=29.6273PV0=30e^{-0.05\times0.25}=29.6273\\PV=30e−0.05×0.25=29.6273FP = (S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41FP\;=\;(S_0-PV0)e^{rT}=(1058-29.6273)e^{0.05\times0.5}=1054.41FP=(S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41 请问是不是计算远期合约价格和期初价格的时候都不需要考虑long还是short?我记得老师讲课的时候,都是以long futures为例画图,因为FP为支出,所以cost要从FP的折现值里减掉;income为收入,所以要从PV里减掉,最后两个折现值在期初相等,算出FP。但如果是short futures,FP为收入,那是不是income要从FP的折现值里减掉,而cost要从PV里减掉呢?
NO.PZ2019052801000038 问题如下 The priof a bonis $1,058, it ha coupon payment of $30 every six mouths, the last payment is three mouths ago. The continuous interest rate is 5%. Calculate the forwarpriof a 6-month forwarcontra on this bon A.$998.72. B.$1,032.21. C.$1,067.24. $1054.41. is correct.考点远期合约定价解析PV=30e−0.05×0.25=29.6273PV0=30e^{-0.05\times0.25}=29.6273\\PV=30e−0.05×0.25=29.6273FP = (S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41FP\;=\;(S_0-PV0)e^{rT}=(1058-29.6273)e^{0.05\times0.5}=1054.41FP=(S0−PV)erT=(1058−29.6273)e0.05×0.5=1054.41 这个难道不是未来我会拿到的v吗?应该是收入啊?谢谢!