问题如下图：
选项：
A. 
B. 
C. 
解释：
老师，face value是Future value和price是present value怎么理解呢？
发亮_品职助教 · 2018年10月16日
如上图是这支债券未来5年的现金流；由于Face Value 1000偿还的时间在未来第五年年末，所以这笔现金流是Future Value；
期间每隔半年的cash flow属于年金形式，PMT=40；
半年付息一次，每半年计一期，所以PMT一共有N=10期，Face Value发生的时期也是第10期
债券未来所有现金流折现求和值是当前的债券价值，也就是本题的900，当前是0时刻，红色箭头表示期初花900买入债券获得未来的所有现金流；900是期初现金流流出，所以是PV
所以PV=-900；PMT=40；N=10；FV=1000 → CPT求semi-annual YTM
这部分是quantitatives折现的内容，后面学科equity，衍生品，固收求价值时一定会用到这部分知识，建议多回看这部分内容巩固基础
NO.PZ2016021705000022 问题如下 t.Com hterminethit coulissue $1,000 favalue bon with 8 percent coupon paisemi-annually ana five-yematurity $900 per bon If t.Com’s margintrate is 38 percent, its after-tcost of is closest to: A.6.2 percent. B.6.4 percent. C.6.6 percent. is correct.FV = $1,000; PMT = $40; N = 10; PV = -$900Solve for i. The six-month yiel i, is 5.3149%YTM = 5.3149% × 2 = 10.62985% r (1−t) = 10.62985%(1−0.38) = 6.5905% r1 − t) = 10.62985%(1 − 0.38) = 6.5905% 为啥PV=900而不是1000
NO.PZ2016021705000022问题如下t.Com hterminethit coulissue $1,000 favalue bon with 8 percent coupon paisemi-annually ana five-yematurity $900 per bon If t.Com’s margintrate is 38 percent, its after-tcost of is closest to: A.6.2 percent.B.6.4 percent.C.6.6 percent. is correct.FV = $1,000; PMT = $40; N = 10; PV = -$900Solve for i. The six-month yiel i, is 5.3149%YTM = 5.3149% × 2 = 10.62985% r (1−t) = 10.62985%(1−0.38) = 6.5905% r1 − t) = 10.62985%(1 − 0.38) = 6.5905% 给出的coupon rate都是年化的吗
NO.PZ2016021705000022问题如下t.Com hterminethit coulissue $1,000 favalue bon with 8 percent coupon paisemi-annually ana five-yematurity $900 per bon If t.Com’s margintrate is 38 percent, its after-tcost of is closest to: A.6.2 percent.B.6.4 percent.C.6.6 percent. is correct.FV = $1,000; PMT = $40; N = 10; PV = -$900Solve for i. The six-month yiel i, is 5.3149%YTM = 5.3149% × 2 = 10.62985% r (1−t) = 10.62985%(1−0.38) = 6.5905% r1 − t) = 10.62985%(1 − 0.38) = 6.5905% 为啥pv是900，老师，我感觉我前面没有学好，能详细解答吗。感谢
NO.PZ2016021705000022 问题如下 t.Com hterminethit coulissue $1,000 favalue bon with 8 percent coupon paisemi-annually ana five-yematurity $900 per bon If t.Com’s margintrate is 38 percent, its after-tcost of is closest to: A.6.2 percent. B.6.4 percent. C.6.6 percent. is correct.FV = $1,000; PMT = $40; N = 10; PV = -$900Solve for i. The six-month yiel i, is 5.3149%YTM = 5.3149% × 2 = 10.62985% r (1−t) = 10.62985%(1−0.38) = 6.5905% r1 − t) = 10.62985%(1 − 0.38) = 6.5905% 这个是C以900元的价格发行到期日为1000的债券不是，所以当期获得900的现金流入，到期付出1000.
NO.PZ2016021705000022 问题如下 t.Com hterminethit coulissue $1,000 favalue bon with 8 percent coupon paisemi-annually ana five-yematurity $900 per bon If t.Com’s margintrate is 38 percent, its after-tcost of is closest to: A.6.2 percent. B.6.4 percent. C.6.6 percent. is correct.FV = $1,000; PMT = $40; N = 10; PV = -$900Solve for i. The six-month yiel i, is 5.3149%YTM = 5.3149% × 2 = 10.62985% r (1−t) = 10.62985%(1−0.38) = 6.5905% r1 − t) = 10.62985%(1 − 0.38) = 6.5905% RT