不知道有几个人看了John Hull的那本《options futures and other derivatives》(fifth edition)
在Page 47,3.6节中
在已知债券现金收入的条件下计算买卖债券远期合约净利润。
题目:已知付息债券价格900,而远期合约为930,假定远期合约1年后到期,而债券是5年期的,息票半年一付,每次固定为40,同时假定半年无风险利率9%(复利,年化率)和一年的为10%。
那么,如果一个套利者买入债券,并卖出远期合约,那么套利者的利润为多少?
他书上的解法,看不太明白,望哪位看过的给个解释。
计算过程原文:The first coupon payment has present value of 40e(-0.09*0.5 此处为幂指数)=38.24. Of the 900,38.24 si therefore borrowed at 95% per annum for sit months so that it can be repaid with the first coupon payment. The remaining 861.76 is borrowed at 10% per annum for one year. the amount owing at he end of the year is 861.76e(0.1*1)=952.39. The second coupon provides 40 toward this amount ,and 930 is received for the bond under the terms of the forward contract. the arbitrateur therefore makes a net profit of:
40+930-952.39=17.61
我个人觉得,这个计算过程,看不太明白,一会计算当前值,一会计算未来值。。