请问这种题目怎么按计算器?
问题如下图:
选项:
A.
B.
C.
解释:
NO.PZ2016031001000064 问题如下 A 3-yebonoffers a 10% coupon rate with interest paiannually. Assuming the following sequenof spot rates, the priof the bonis closest to: A.96.98. B.101.46. C.102.95. B is correct.The bonpriis closest to 101.46. The priis terminein the following manner:PV=PMT(1+Z1)1+PMT(1+Z2)2+PMT+FV(1+Z3)3PV=\frac{PMT}{{(1+Z_1)}^1}+\frac{PMT}{{(1+Z_2)}^2}+\frac{PMT+FV}{{(1+Z_3)}^3}PV=(1+Z1)1PMT+(1+Z2)2PMT+(1+Z3)3PMT+FVPV=101+0.08+10(1+0.09)2+10+100(1+0.095)3PV=\frac{10}{1+0.08}+\frac{10}{\left(1+0.09\right)^2}+\frac{10+100}{\left(1+0.095\right)^3}PV=1+0.0810+(1+0.09)210+(1+0.095)310+100PV = 9.26 + 8.42 + 83.78 = 101.46考点Pricing Bon with Spot Rates解析通过未来现金流折现求和,第一年的现金流(10)用S1折现,第二年的现金流(10)用S2折现,第三年的现金流(100+10)用S3折现,可得债券价格为101.46,故B正确。 就是之前都是拿到题目就直接套公式,认为S1 S2 S3,但是今天一想,time to maturity这个应该怎么理解呀?我给理解成据到期日还有多少年,那么一年的利率S1不就应该是最后一个的么,也就是说110除以的应该是1+8%的三次方了呀,老师您能听懂我的牛角尖么,谢谢啦,教师节快乐
搞不清楚按年付息与半年付息一次的spot rate 区别。为什么这道题的S2 等于9%,而不是9%/2?S3等于9.5%,而不是9.5%/3?