问一道题：NO.PZ2016031001000081 [ CFA I ]

NO.PZ2016031001000081问题如下 A two-yefloating-rate note pays 6-month MRR plus 80 basis points. The floater is price97 per 100 of pvalue. The current 6-month MRR is 1.00%. Assume a 30/360 y count convention anevenly spaceperio. The scount margin for the floater in basis points (bps) is closest to: A.180 bps.B.236 bps.C.420 bps. B is correct.The scount or requiremargin is 236 basis points. Given the floater ha maturity of two years anis linketo 6-month MRR, the formula for calculating scount margin is: where:PV = present value, or the priof the floating-rate note = 97Inx = referenrate, stateannupercentage rate = 0.01QM = quotemargin, stateannupercentage rate = 0.0080FV = future value paimaturity, or the pvalue of the bon= 100m = periocity of the floating-rate note, the number of payment perio per ye= 2 = scount margin, the requiremargin stateannupercentage rateSubstituting given values in:To calculate , begin solving for the scount rate per perior = 0.0168Now, solve for :(0.01+)/2=0.0168 = 0.0236The scount margin for the floater is equto 236 basis points.考点浮动利率债券解析浮动利率债券的Coupon Rate = Referenrate + QuoteMargin，比如一个每半年付息一次的浮动利率债券，其Coupon Rate是6-month MRR + 50 bps，50 bps（息差Sprea就是QuoteMargin。这道题中QuoteMargin是80bps。Referenrate和QuoteMargin共同决定Coupon Rate。给浮动利率债券未来现金流折现时，使用的折现率是Referenrate + scount margin。基准利率和scount 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scount Margin后，折现未来现金流可以得到当前浮动利率债券。或者知道当前浮动利率债券价格和基准利率，可以反求scount Margin。本题知道浮动利率债券的Referenrate和Quotemargin，也就知道分子的Coupon rate；也知道浮动利率债券当前的债券价格，所以可以反求出来折现率，从而进一步求scount margin为236bp。 为看来题目解析和其他人的提问，但是对这句话不是很理解the current 6-month MRR is 1%， 这句话为什么可以直接理解一年的MRR呢？

NO.PZ2016031001000081问题如下 A two-yefloating-rate note pays 6-month MRR plus 80 basis points. The floater is price97 per 100 of pvalue. The current 6-month MRR is 1.00%. Assume a 30/360 y count convention anevenly spaceperio. The scount margin for the floater in basis points (bps) is closest to: A.180 bps.B.236 bps.C.420 bps. B is correct.The scount or requiremargin is 236 basis points. Given the floater ha maturity of two years anis linketo 6-month MRR, the formula for calculating scount margin is: where:PV = present value, or the priof the floating-rate note = 97Inx = referenrate, stateannupercentage rate = 0.01QM = quotemargin, stateannupercentage rate = 0.0080FV = future value paimaturity, or the pvalue of the bon= 100m = periocity of the floating-rate note, the number of payment perio per ye= 2 = scount margin, the requiremargin stateannupercentage rateSubstituting given values in:To calculate , begin solving for the scount rate per perior = 0.0168Now, solve for :(0.01+)/2=0.0168 = 0.0236The scount margin for the floater is equto 236 basis points.考点浮动利率债券解析浮动利率债券的Coupon Rate = Referenrate + QuoteMargin，比如一个每半年付息一次的浮动利率债券，其Coupon Rate是6-month MRR + 50 bps，50 bps（息差Sprea就是QuoteMargin。这道题中QuoteMargin是80bps。Referenrate和QuoteMargin共同决定Coupon Rate。给浮动利率债券未来现金流折现时，使用的折现率是Referenrate + scount margin。基准利率和scount 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scount Margin后，折现未来现金流可以得到当前浮动利率债券。或者知道当前浮动利率债券价格和基准利率，可以反求scount Margin。本题知道浮动利率债券的Referenrate和Quotemargin，也就知道分子的Coupon rate；也知道浮动利率债券当前的债券价格，所以可以反求出来折现率，从而进一步求scount margin为236bp。 请问用计算器如何计算这道题？

NO.PZ2016031001000081问题如下 A two-yefloating-rate note pays 6-month MRR plus 80 basis points. The floater is price97 per 100 of pvalue. The current 6-month MRR is 1.00%. Assume a 30/360 y count convention anevenly spaceperio. The scount margin for the floater in basis points (bps) is closest to: A.180 bps.B.236 bps.C.420 bps. B is correct.The scount or requiremargin is 236 basis points. Given the floater ha maturity of two years anis linketo 6-month MRR, the formula for calculating scount margin is: where:PV = present value, or the priof the floating-rate note = 97Inx = referenrate, stateannupercentage rate = 0.01QM = quotemargin, stateannupercentage rate = 0.0080FV = future value paimaturity, or the pvalue of the bon= 100m = periocity of the floating-rate note, the number of payment perio per ye= 2 = scount margin, the requiremargin stateannupercentage rateSubstituting given values in:To calculate , begin solving for the scount rate per perior = 0.0168Now, solve for :(0.01+)/2=0.0168 = 0.0236The scount margin for the floater is equto 236 basis points.考点浮动利率债券解析浮动利率债券的Coupon Rate = Referenrate + QuoteMargin，比如一个每半年付息一次的浮动利率债券，其Coupon Rate是6-month MRR + 50 bps，50 bps（息差Sprea就是QuoteMargin。这道题中QuoteMargin是80bps。Referenrate和QuoteMargin共同决定Coupon Rate。给浮动利率债券未来现金流折现时，使用的折现率是Referenrate + scount margin。基准利率和scount 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scount Margin后，折现未来现金流可以得到当前浮动利率债券。或者知道当前浮动利率债券价格和基准利率，可以反求scount Margin。本题知道浮动利率债券的Referenrate和Quotemargin，也就知道分子的Coupon rate；也知道浮动利率债券当前的债券价格，所以可以反求出来折现率，从而进一步求scount margin为236bp。 題目不是半年的MRR + 80 bp了吗？不是（1%+ 80bp) 呢？

NO.PZ2016031001000081问题如下 A two-yefloating-rate note pays 6-month MRR plus 80 basis points. The floater is price97 per 100 of pvalue. The current 6-month MRR is 1.00%. Assume a 30/360 y count convention anevenly spaceperio. The scount margin for the floater in basis points (bps) is closest to: A.180 bps.B.236 bps.C.420 bps. B is correct.The scount or requiremargin is 236 basis points. Given the floater ha maturity of two years anis linketo 6-month MRR, the formula for calculating scount margin is: where:PV = present value, or the priof the floating-rate note = 97Inx = referenrate, stateannupercentage rate = 0.01QM = quotemargin, stateannupercentage rate = 0.0080FV = future value paimaturity, or the pvalue of the bon= 100m = periocity of the floating-rate note, the number of payment perio per ye= 2 = scount margin, the requiremargin stateannupercentage rateSubstituting given values in:To calculate , begin solving for the scount rate per perior = 0.0168Now, solve for :(0.01+)/2=0.0168 = 0.0236The scount margin for the floater is equto 236 basis points.考点浮动利率债券解析浮动利率债券的Coupon Rate = Referenrate + QuoteMargin，比如一个每半年付息一次的浮动利率债券，其Coupon Rate是6-month MRR + 50 bps，50 bps（息差Sprea就是QuoteMargin。这道题中QuoteMargin是80bps。Referenrate和QuoteMargin共同决定Coupon Rate。给浮动利率债券未来现金流折现时，使用的折现率是Referenrate + scount margin。基准利率和scount 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scount Margin后，折现未来现金流可以得到当前浮动利率债券。或者知道当前浮动利率债券价格和基准利率，可以反求scount Margin。本题知道浮动利率债券的Referenrate和Quotemargin，也就知道分子的Coupon rate；也知道浮动利率债券当前的债券价格，所以可以反求出来折现率，从而进一步求scount margin为236bp。 这题给30/360这句话是什么意思

NO.PZ2016031001000081 问题如下 A two-yefloating-rate note pays 6-month MRR plus 80 basis points. The floater is price97 per 100 of pvalue. The current 6-month MRR is 1.00%. Assume a 30/360 y count convention anevenly spaceperio. The scount margin for the floater in basis points (bps) is closest to: A.180 bps. B.236 bps. C.420 bps. B is correct.The scount or requiremargin is 236 basis points. Given the floater ha maturity of two years anis linketo 6-month MRR, the formula for calculating scount margin is: where:PV = present value, or the priof the floating-rate note = 97Inx = referenrate, stateannupercentage rate = 0.01QM = quotemargin, stateannupercentage rate = 0.0080FV = future value paimaturity, or the pvalue of the bon= 100m = periocity of the floating-rate note, the number of payment perio per ye= 2 = scount margin, the requiremargin stateannupercentage rateSubstituting given values in:To calculate , begin solving for the scount rate per perior = 0.0168Now, solve for :(0.01+)/2=0.0168 = 0.0236The scount margin for the floater is equto 236 basis points.考点浮动利率债券解析浮动利率债券的Coupon Rate = Referenrate + QuoteMargin，比如一个每半年付息一次的浮动利率债券，其Coupon Rate是6-month MRR + 50 bps，50 bps（息差Sprea就是QuoteMargin。这道题中QuoteMargin是80bps。Referenrate和QuoteMargin共同决定Coupon Rate。给浮动利率债券未来现金流折现时，使用的折现率是Referenrate + scount margin。基准利率和scount 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scount Margin后，折现未来现金流可以得到当前浮动利率债券。或者知道当前浮动利率债券价格和基准利率，可以反求scount Margin。本题知道浮动利率债券的Referenrate和Quotemargin，也就知道分子的Coupon rate；也知道浮动利率债券当前的债券价格，所以可以反求出来折现率，从而进一步求scount margin为236bp。 我对求margin 的这个过程有点疑惑，因为 0.01 已经是 6 month market rate, 我不太明白为什么0.01 还要被除以2 呢？