一道债券价格的计算题,是英文的A$1000parbondcarriesacouponrateof10%,paycouponssemiannually,andhas13yearsremainingtomaturity.Marketratesarecurrently9.25%,thepriceofthebondisA$586.6B$1036.03C$1055.41D$1056.05

Question

一道 债券价格 的计算题,是英文的
A $1000 par bond carries a coupon rate of 10%,pay coupons semiannually,and has 13 years remaining to maturity .Market rates are currently 9.25%,the price of the bond is
A $586.6
B$1036.03
C$1055.41
D$1056.05
我算了很久也算不出正确答案,思路是什么?怎么算的?

Answer 1

P=CF/[(1+r)^n] CF是每半年拿到的钱 也就是1000x10%/2=50 n=13x2=26 那么 P=50/1.0925+50/(1.0925^2)+50/(1.0925^3)+50/(1.0925^4)+50/(1.0925^5)+50/(1.0925^6)+50/(1.0925^7)+50/(1.0925^8)+50/(1.0925^9)+50/(1.0925^10)+50/(1.0925^11)+50/(1.0925^12)+50/(1.0925^13)+50/(1.0925^14)+50/(1.0925^15)+50/(1.0925^16)+50/(1.0925^17)+50/(1.0925^18)+50/(1.0925^19)+50/(1.0925^20)+50/(1.0925^21)+50/(1.0925^22)+50/(1.0925^23)+50/(1.0925^24)+50/(1.0925^25)+50/(1.0925^26)+1000/(1.0925^26)
不然你也可以用金融计算器 n=26 r=9.25 PMT=50 FV=1000 求PV