NO.PZ2016031001000065问题如下 All three bon pinterest annually.Baseupon the given sequenof spot rates, the priof BonX is closest to:A.95.02.B.95.28.C.97.63. B is correct.The bonpriis closest to 95.28. The formula for calculating this bonpriis: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=8(1+0.08)1+8(1+0.09)2+8+100(1+0.10)3PV=\frac8{{(1+0.08)}^1}+\frac8{{(1+0.09)}^2}+\frac{8+100}{{(1+0.10)}^3}PV=(1+0.08)18+(1+0.09)28+(1+0.10)38+100PV = 7.41 + 6.73 + 81.14 = 95.28考点Pricing Bon with Spot Rates解析表格前三列代表的是债券X按年支付的Coupon rate是8%,还有3年时间到期。债券Y按年支付的Coupon rate是7%,还有3年时间到期。债券Z按年支付的Coupon rate是6%,还有3年时间到期。三个债券都有三年的期限。表格后两列代表的是第一年的Spot rate是8%,第二年的Spot rate是9%,第三年的Spot rate是10%。所以相对应的,第一年现金流用8%折现,第二年用9%,第三年用10%。通过未来现金流折现求和,第一年的现金流(8)用S1(8%)折现,第二年的现金流(8)用S2(9%)折现,第三年的现金流(100+8)用S3(10%)折现,可得债券价格为95.28,故B正确。 表格里怎么有两个time to maturity。有什么区别
NO.PZ2016031001000065 比如第二年的Spot rate是9,是指从第二年开始看,第二年到第三年这段时间的利率为9%吗?
NO.PZ2016031001000065 这道题如何使用计算器算?
NO.PZ2016031001000065 time to maturity是指从现在看到到期日的时间?第一列的X就是一个一年的债券吗?
95.28. 97.63. B is correct. The bonpriis closest to 95.28. The formula for calculating this bonpriis: 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+FV where: PV = present value, or the priof the bonPMT = coupon payment per perioFV = future value paimaturity, or the pvalue of the bonZ1= spot rate, or the zero-coupon yiel or zero rate, for perio1 Z2= spot rate, or the zero-coupon yiel or zero rate, for perio2 Z3=spot rate, or the zero-coupon yiel or zero rate, for perio3 PV=8(1+0.08)1+8(1+0.09)2+8+100(1+0.10)3PV=\frac8{{(1+0.08)}^1}+\frac8{{(1+0.09)}^2}+\frac{8+100}{{(1+0.10)}^3}PV=(1+0.08)18+(1+0.09)28+(1+0.10)38+100 PV = 7.41 + 6.73 + 81.14 = 95.28 我看了前面的,还是没看懂。第二列和第三列maturity anspot rate term 是怎么看出来的?