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hanfei · 2023年09月21日

use libor to discount, why not use the sigle discount rate

NO.PZ2016082402000064

问题如下:

Bank XYZ enters into a five-year swap contract with ABC Co. to pay LIBOR in return for a fixed 8% rate on a principal of $100 million. Two years from now, the market rate on three-year swaps at LIBOR is 7%. At this time ABC Co. declares bankruptcy and defaults on its swap obligation. Assume that the net payment is made only at the end of each year for the swap contract period. What is the market value of the loss incurred by Bank XYZ as a result of the default?

选项:

A.

$1.927 million

B.

$2.245 million

C.

$2.624 million

D.

$3.011 million

解释:

ANSWER: C

Using Equation:V=iniFiK(1+Ri)τiV=\sum_in_i\frac{F_i-K}{{(1+R_i)}^{\tau_i}} for three remaining periods, we have the discounted value of the net interest payment, or  (8%7%)×$100m=$1m\;{(8\%-7\%)}\times\$100m=\$1m discounted at 7%, which is $934,579+$873,439+$816,298 = $2,624,316.

use libor to discount, why not use the sigle discount rate? i rember that the Libor is the single discount , so is 1+1.07 , and 1+7%^2

2 个答案

DD仔_品职助教 · 2023年09月22日

嗨,从没放弃的小努力你好:


我之前的回答里没有说不能用libor折现啊,只是说折现的时候一般用复利,算利率用单利。请问有什么不准确的地方吗

并且无论单利折现还是复利折现,差别并不会很大。所以这个问题不用纠结。

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hanfei · 2023年09月22日

ooo,知道了,谢谢

DD仔_品职助教 · 2023年09月21日

嗨,努力学习的PZer你好:


同学你好,libor算利率一般是用单利的,但是估值折现里一般都是用复利折现。

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hanfei · 2023年09月21日

基础班223页讲义里面老师讲了几个不同的折现方法嘛,其中就有用libor折现的,是用的单利折现的方法。。所以不能说libor不能用来折现吧

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NO.PZ2016082402000064问题如下 Bank XYZ enters into a five-yeswcontrawith ACo. to pLIBOR in return for a fixe8% rate on a principof $100 million. Two years from now, the market rate on three-yeswaps LIBOR is 7%. this time ACo. clares bankruptanfaults on its swobligation. Assume ththe net payment is ma only the enof eayefor the swcontraperio Whis the market value of the loss incurreBank XYZ a result of the fault?A.$1.927 millionB.$2.245 millionC.$2.624 million$3.011 millionANSWER: CUsing Equation:V=∑iniFi−K(1+Ri)τiV=\sum_in_i\frac{F_i-K}{{(1+R_i)}^{\tau_i}}V=∑i​ni​(1+Ri​)τi​Fi​−K​ for three remaining perio, we have the scountevalue of the net interest payment, or  (8%−7%)×$100m=$1m\;{(8\%-7\%)}\times\$100m=\$1m(8%−7%)×$100m=$1m scounte7%, whiis $934,579+$873,439+$816,298 = $2,624,316.这道题可以画图解吗?为什么每次loss1%两年不应该就是20million吗

2023-04-03 10:13 1 · 回答

NO.PZ2016082402000064问题如下Bank XYZ enters into a five-yeswcontrawith ACo. to pLIBOR in return for a fixe8% rate on a principof $100 million. Two years from now, the market rate on three-yeswaps LIBOR is 7%. this time ACo. clares bankruptanfaults on its swobligation. Assume ththe net payment is ma only the enof eayefor the swcontraperio Whis the market value of the loss incurreBank XYZ a result of the fault?A.$1.927 millionB.$2.245 millionC.$2.624 million$3.011 millionANSWER: CUsing Equation:V=∑iniFi−K(1+Ri)τiV=\sum_in_i\frac{F_i-K}{{(1+R_i)}^{\tau_i}}V=∑i​ni​(1+Ri​)τi​Fi​−K​ for three remaining perio, we have the scountevalue of the net interest payment, or  (8%−7%)×$100m=$1m\;{(8\%-7\%)}\times\$100m=\$1m(8%−7%)×$100m=$1m scounte7%, whiis $934,579+$873,439+$816,298 = $2,624,316.101/1.07^3

2023-03-07 14:48 1 · 回答

NO.PZ2016082402000064 老师,我是按照收到8%固定利率支出7%LIBOR来做的,虽然题目中说了ABC公司在第二年末违约了,但是从计算的角度来看违约产生的loss体现在哪里了呢?

2022-03-13 22:57 1 · 回答

NO.PZ2016082402000064 看了之前老师的回复,关于为何使用7%而不是8%,老师说是8%是过去了。那如果是过去,那为何将来fault不能兑换的3年,还要用8%计算profit? 感谢回答。

2022-03-09 01:16 1 · 回答