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我们都会有 · 2019年10月27日

问一道题:NO.PZ2016082406000073 [ FRM II ]

问题如下图:

选项:

A.

B.

C.

D.

解释:

老师,这个公式没看懂,0.952是怎么算出来的

1 个答案

品职答疑小助手雍 · 2019年10月28日

同学你好,首先这题里的cln是一个note,也就是一个债券,求的是债券的fair value。  先计算利差久期,spread duration=1/1.05+1/1.05^2+1/1.05^3=2.72,乘以spread的差额90-60=30bps,2.72*0.3%=0.81%,因为折价,所以是100*(1-0.81%)=99.19。答案里的0.952、0.907、0.864,分别是1/1.05+1/1.05^2+1/1.05^3

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NO.PZ2016082406000073 A three-yecret-linkenote (CLN) with unrlying company Z ha LIBOR+60semiannucoupon. The favalue of the CLN is US100. LIBOR is 5% for all maturities. The current three-yeC sprefor company Z is 90bp. The fair value of the CLN is closest to US100.00 US111.05 US101.65 US99.19 ANSWER: Because the current C spreis greater ththe coupon, the CLN must selling a scount. The only solution is More precisely, we cuse the spreration from Equation: V=(PV Payoff)−s(PV Sprea=(∑t=1Tkt(1−f)PVt)−s(∑t=1TSt−1PVt)V={(\text{PV Payoff})}-s(\text{PV Sprea)={(\sum_{t=1}^Tk_t{(1-f)}{\text{PV}}_t)}-s{(\sum_{t=1}^TS_{t-1}{\text{PV}}_t)}V=(PV Payoff)−s(PV Sprea=(∑t=1T​kt​(1−f)PVt​)−s(∑t=1T​St−1​PVt​), whiis the sum of the present value factor over three years. Assuming a flterm structure,this is ∑PVt=0.952+0.907+0.864=2.72\sum PV_t=0.952+0.907+0.864=2.72∑PVt​=0.952+0.907+0.864=2.72 years. Multiplying (90-60) = 30gives a fall of 0.81%,whigives $99.19. 这题到底要怎么做?完全无法理解,请老师讲的更基础些。 我看之前老师说将CLN当作一个boncoupon就是5.6%,但是c sprea5.9%。 然后我就不知道怎么做了

2021-04-07 00:01 1 · 回答

NO.PZ2016082406000073 A three-yecret-linkenote (CLN) with unrlying company Z ha LIBOR+60semiannucoupon. The favalue of the CLN is US100. LIBOR is 5% for all maturities. The current three-yeC sprefor company Z is 90bp. The fair value of the CLN is closest to US100.00 US111.05 US101.65 US99.19 ANSWER: Because the current C spreis greater ththe coupon, the CLN must selling a scount. The only solution is More precisely, we cuse the spreration from Equation: V=(PV Payoff)−s(PV Sprea=(∑t=1Tkt(1−f)PVt)−s(∑t=1TSt−1PVt)V={(\text{PV Payoff})}-s(\text{PV Sprea)={(\sum_{t=1}^Tk_t{(1-f)}{\text{PV}}_t)}-s{(\sum_{t=1}^TS_{t-1}{\text{PV}}_t)}V=(PV Payoff)−s(PV Sprea=(∑t=1T​kt​(1−f)PVt​)−s(∑t=1T​St−1​PVt​), whiis the sum of the present value factor over three years. Assuming a flterm structure,this is ∑PVt=0.952+0.907+0.864=2.72\sum PV_t=0.952+0.907+0.864=2.72∑PVt​=0.952+0.907+0.864=2.72 years. Multiplying (90-60) = 30gives a fall of 0.81%,whigives $99.19. 就是答案说应该拿来折现的利率应该是C的利率,这是为啥呢。 .用来折现的利率不是应该拿市场利率也就是Libor的利率吗,即5%。为什么要用C一个金融产品的利率(而非市场利率)来折现呢。

2021-03-13 22:00 1 · 回答

A three-yecret-linkenote (CLN) with unrlying company Z ha LIBOR+60semiannucoupon. The favalue of the CLN is US100. LIBOR is 5% for all maturities. The current three-yeC sprefor company Z is 90bp. The fair value of the CLN is closest to US100.00 US111.05 US101.65 US99.19 ANSWER: Because the current C spreis greater ththe coupon, the CLN must selling a scount. The only solution is More precisely, we cuse the spreration from Equation: V=(PV Payoff)−s(PV Sprea=(∑t=1Tkt(1−f)PVt)−s(∑t=1TSt−1PVt)V={(\text{PV Payoff})}-s(\text{PV Sprea)={(\sum_{t=1}^Tk_t{(1-f)}{\text{PV}}_t)}-s{(\sum_{t=1}^TS_{t-1}{\text{PV}}_t)}V=(PV Payoff)−s(PV Sprea=(∑t=1T​kt​(1−f)PVt​)−s(∑t=1T​St−1​PVt​), whiis the sum of the present value factor over three years. Assuming a flterm structure,this is ∑PVt=0.952+0.907+0.864=2.72\sum PV_t=0.952+0.907+0.864=2.72∑PVt​=0.952+0.907+0.864=2.72 years. Multiplying (90-60) = 30gives a fall of 0.81%,whigives $99.19. 老师第二个思路,不是很看得懂,感觉上他的思路是用C定价推到出来的价格,为什么直接求ration 在乘以 sprea差,没感觉出来这一步和公式有什么关系

2020-10-19 15:24 1 · 回答

没看懂题干,能一下吗

2020-08-16 18:24 1 · 回答

A three-yecret-linkenote (CLN) with unrlying company Z ha LIBOR+60semiannucoupon. The favalue of the CLN is US100. LIBOR is 5% for all maturities. The current three-yeC sprefor company Z is 90bp. The fair value of the CLN is closest to US100.00 US111.05 US101.65 US99.19 ANSWER: Because the current C spreis greater ththe coupon, the CLN must selling a scount. The only solution is More precisely, we cuse the spreration from Equation: V=(PV Payoff)−s(PV Sprea=(∑t=1Tkt(1−f)PVt)−s(∑t=1TSt−1PVt)V={(\text{PV Payoff})}-s(\text{PV Sprea)={(\sum_{t=1}^Tk_t{(1-f)}{\text{PV}}_t)}-s{(\sum_{t=1}^TS_{t-1}{\text{PV}}_t)}V=(PV Payoff)−s(PV Sprea=(∑t=1T​kt​(1−f)PVt​)−s(∑t=1T​St−1​PVt​), whiis the sum of the present value factor over three years. Assuming a flterm structure,this is ∑PVt=0.952+0.907+0.864=2.72\sum PV_t=0.952+0.907+0.864=2.72∑PVt​=0.952+0.907+0.864=2.72 years. Multiplying (90-60) = 30gives a fall of 0.81%,whigives $99.19. 请问为什么C比coupon大,CLN就是折价的,谢谢

2020-04-04 11:49 1 · 回答