问题如下图:
选项:
A.
B.
C.
解释:
老师,这道题没有读懂
吴昊_品职助教 · 2019年05月13日
这道题的考点在于求浮动利率债券的discount margin,我们要区分清楚discount margin和quoted margin。
浮动利率债券的Coupon Rate = Reference rate + Quoted Margin,比如一个每半年付息一次的浮动利率债券,其Coupon Rate是:6-month Libor + 50 bps,50 bps(息差Spread)就是Quoted Margin。这道题中Quoted Margin是50bps。Reference rate和Quoted Margin共同决定Coupon Rate。因此,这道题的coupon为0.85.
给浮动利率债券未来现金流折现时,使用的折现率是Reference rate + Discount margin。基准利率和Discount margin共同构成对这个浮动利率债券的要求回报率。所以在基准利率的基础上,加上一个Discount Margin后,折现未来现金流可以得到当前浮动利率债券。这道题就是知道了当前浮动利率债券价格和基准利率,因此可以反求出Discount Margin。
NO.PZ2018062006000081 问题如下 There is a two-yeFRN with quotemargin 50 basis points anthe referenrate is 6-month MRR. The current 6-month MRR is 1.2% whiis supposeto constant for the following 2 years anthe floater is price95 per 100 of pvalue. Please calculate the scount margin for the floater assuming a 30/360 y-count convention anevenly spaceperio. A.298 bps B.314 bps C.217 bps B is correct.First we neeto calculate the interest payment eaperio{(6-month MRR+QM) × FV}/m={(0.012+0.005) × 100}/2=0.85then calculate the scount rate per perio:95=0.851+r+0.85(1+r)2+0.85(1+r)3+0.85+100(1+r)495=\frac{0.85}{1+r}+\frac{0.85}{(1+r)^2}+\frac{0.85}{(1+r)^3}+\frac{0.85+100}{(1+r)^4}95=1+r0.85+(1+r)20.85+(1+r)30.85+(1+r)40.85+100r=2.168%Now, solve for :1.2%+2=2.168%\frac{1.2\%+}2=2.168\%21.2%+=2.168% = 3.14%考点浮动利率债券解析知道浮动利率债券当前的债券价格和分子的Coupon rate,先反求出折现率,利用计算器PV= -95,FV=100,PMT=0.85,N=4,得到I/Y=2.168再利用折现率反求出scount margin2.168%=(1.2%+)/2,求得=3.14%,故B正确。 您好,可以问一下solve for 的这个公式是在哪个知识点么?为什么要这么算呀而且算出来的2.168不用乘2么?
NO.PZ2018062006000081 问题如下 There is a two-yeFRN with quotemargin 50 basis points anthe referenrate is 6-month MRR. The current 6-month MRR is 1.2% whiis supposeto constant for the following 2 years anthe floater is price95 per 100 of pvalue. Please calculate the scount margin for the floater assuming a 30/360 y-count convention anevenly spaceperio. A.298 bps B.314 bps C.217 bps B is correct.First we neeto calculate the interest payment eaperio{(6-month MRR+QM) × FV}/m={(0.012+0.005) × 100}/2=0.85then calculate the scount rate per perio:95=0.851+r+0.85(1+r)2+0.85(1+r)3+0.85+100(1+r)495=\frac{0.85}{1+r}+\frac{0.85}{(1+r)^2}+\frac{0.85}{(1+r)^3}+\frac{0.85+100}{(1+r)^4}95=1+r0.85+(1+r)20.85+(1+r)30.85+(1+r)40.85+100r=2.168%Now, solve for :1.2%+2=2.168%\frac{1.2\%+}2=2.168\%21.2%+=2.168% = 3.14%考点浮动利率债券解析知道浮动利率债券当前的债券价格和分子的Coupon rate,先反求出折现率,利用计算器PV= -95,FV=100,PMT=0.85,N=4,得到I/Y=2.168再利用折现率反求出scount margin2.168%=(1.2%+)/2,求得=3.14%,故B正确。 题目中的6-month MRR、quotemargin、scount margin,都是年化的利率吗?我理解的语境是6个月的利率。
NO.PZ2018062006000081问题如下 There is a two-yeFRN with quotemargin 50 basis points anthe referenrate is 6-month MRR. The current 6-month MRR is 1.2% whiis supposeto constant for the following 2 years anthe floater is price95 per 100 of pvalue. Please calculate the scount margin for the floater assuming a 30/360 y-count convention anevenly spaceperio. A.298 bpsB.314 bpsC.217 bps B is correct.First we neeto calculate the interest payment eaperio{(6-month MRR+QM) × FV}/m={(0.012+0.005) × 100}/2=0.85then calculate the scount rate per perio:95=0.851+r+0.85(1+r)2+0.85(1+r)3+0.85+100(1+r)495=\frac{0.85}{1+r}+\frac{0.85}{(1+r)^2}+\frac{0.85}{(1+r)^3}+\frac{0.85+100}{(1+r)^4}95=1+r0.85+(1+r)20.85+(1+r)30.85+(1+r)40.85+100r=2.168%Now, solve for :1.2%+2=2.168%\frac{1.2\%+}2=2.168\%21.2%+=2.168% = 3.14%考点浮动利率债券解析知道浮动利率债券当前的债券价格和分子的Coupon rate,先反求出折现率,利用计算器PV= -95,FV=100,PMT=0.85,N=4,得到I/Y=2.168再利用折现率反求出scount margin2.168%=(1.2%+)/2,求得=3.14%,故B正确。 scount margin是什么
NO.PZ2018062006000081 问题如下 There is a two-yeFRN with quotemargin 50 basis points anthe referenrate is 6-month Libor. The current 6-month Libor is 1.2% whiis supposeto constant for the following 2 years anthe floater is price95 per 100 of pvalue. Please calculate the scount margin for the floater assuming a 30/360 y-count convention anevenly spaceperio. A.298 bps B.314 bps C.217 bps B is correct.First we neeto calculate the interest payment eaperio{(6-month Libor+QM) × FV}/m={(0.012+0.005) × 100}/2=0.85then calculate the scount rate per perio:95=0.851+r+0.85(1+r)2+0.85(1+r)3+0.85+100(1+r)495=\frac{0.85}{1+r}+\frac{0.85}{(1+r)^2}+\frac{0.85}{(1+r)^3}+\frac{0.85+100}{(1+r)^4}95=1+r0.85+(1+r)20.85+(1+r)30.85+(1+r)40.85+100r=2.168%Now, solve for :1.2%+2=2.168%\frac{1.2\%+}2=2.168\%21.2%+=2.168% = 3.14%考点浮动利率债券解析知道浮动利率债券当前的债券价格和分子的Coupon rate,先反求出折现率,利用计算器PV= -95,FV=100,PMT=0.85,N=4,得到I/Y=2.168再利用折现率反求出scount margin2.168%=(1.2%+)/2,求得=3.14%,故B正确。 题目只是给了6个月的libor, 哪里可以看出半年付息一次?
NO.PZ2018062006000081 问题如下 There is a two-yeFRN with quotemargin 50 basis points anthe referenrate is 6-month Libor. The current 6-month Libor is 1.2% whiis supposeto constant for the following 2 years anthe floater is price95 per 100 of pvalue. Please calculate the scount margin for the floater assuming a 30/360 y-count convention anevenly spaceperio. A.298 bps B.314 bps C.217 bps B is correct.First we neeto calculate the interest payment eaperio{(6-month Libor+QM) × FV}/m={(0.012+0.005) × 100}/2=0.85then calculate the scount rate per perio:95=0.851+r+0.85(1+r)2+0.85(1+r)3+0.85+100(1+r)495=\frac{0.85}{1+r}+\frac{0.85}{(1+r)^2}+\frac{0.85}{(1+r)^3}+\frac{0.85+100}{(1+r)^4}95=1+r0.85+(1+r)20.85+(1+r)30.85+(1+r)40.85+100r=2.168%Now, solve for :1.2%+2=2.168%\frac{1.2\%+}2=2.168\%21.2%+=2.168% = 3.14%考点浮动利率债券解析知道浮动利率债券当前的债券价格和分子的Coupon rate,先反求出折现率,利用计算器PV= -95,FV=100,PMT=0.85,N=4,得到I/Y=2.168再利用折现率反求出scount margin2.168%=(1.2%+)/2,求得=3.14%,故B正确。