NO.PZ2018123101000018
问题如下:
Jane is a bond trader for an investment bank. Exhibit 1 presents the current par and spot rates.
Note: Par and spot rates are based on annual-coupon sovereign bonds.
Based on Exhibit 1, the five-year spot rate is closest to:
选项:
A.4.40%
B.4.45%
C.4.50%
解释:
B is correct.
考点:The Swap Rate Curve和Spot rate的关系
解析:
已知1-year, 2-year, 3-year, 4-year的Spot rate,也知道5-year的Swap rate,根据由Swap rate求Spot rate的方法,有公式:
1=0.0437/(1.025)+0.0437/(1.03)^2+0.0437/(1.035)^3+0.0437/(1.04)^4+1.0437/(1+S5)^5
S5=4.45%
答案中的公式1(par value)=coupon(0.045)除每年的折现率加总,那意思就是国债是不归还本金的,国债的par就只是每年的coupon折现求和是吗?