开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

karweillas · 2024年03月06日

算出折现因子后的计算部分可以详细解释一下吗?

NO.PZ2023020101000012

问题如下:

Meredith Whitney is a senior consultant in the Swaps Advisory Group of DCM Capital, an independent advisory firm. Whitney will be preparing to meet with three clients who need advice on structuring and implementing a swap program to manage their interest rate exposures. She is assisted by a junior analyst from the fixed income group, Toni Yang.

For her meetings, Whitney plans to use the data presented in Exhibit 1 below.

Exhibit 1 Current Term Structure of Rates (%)

Note: Libor is the London Interbank Offered Rate. Euribor is the Euro Interbank Offered Rate. Hibor is the Hong Kong Interbank Offered Rate. All rates shown are annualized.

Whitney’s first meeting is with Novatel, a US based company that currently has an outstanding loan of $250,000,000 that carries a 5.15% fixed interest rate. Novatel’s managers feel that the current interest rate on the loan is high and they also believe that interest rates are poised to decline. Whitney advises Novatel to enter into a one-year pay-floating Libor receive-fixed interest rate swap with quarterly payments. The notional principal on the swap will be $250,000,000. Whitney’s first task is to determine the appropriate swap rate.

Using data in Exhibit 1 and a 30/360 day count, the annualized fixed rate of the swap recommended by Whitney for Novatel is closest to

选项:

A.

2.22%.

B.

3.36%.

C.

5.15%.

解释:

The appropriate present value factors are provided below:

For example, PV(90) is calculated as follows:

Other present value factors are calculated in a similar manner.

The fixed rate is calculated as follows:

rFIX=1.0PV0,tn(1)i=1nPV0,tn(1)=1.00.9669310.996463+0.990884+0.984349+0.966931=0.008396r_{FIX}=\frac{1.0-PV_{0,t_n}(1)}{\sum_{i=1}^nPV_{0,t_n}(1)}=\frac{1.0-0.966931}{0.996463+0.990884+0.984349+0.966931}=0.008396

The annualized rate =0.008396×360/90=0.033584.

如上

1 个答案

李坏_品职助教 · 2024年03月06日

嗨,努力学习的PZer你好:


利率互换的fixed rate计算公式:

这里的PV0,t(1)指的是到期日(最长期限)对应的折现因子,也就是PV(360)。所以fixed swap rate = (1-PV(360)) / (4个折现因子求和) = 0.008396。


这个数据是一个季度的利率,还要进行年化处理: 0.008396×360/90=0.033584.

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

  • 1

    回答
  • 0

    关注
  • 287

    浏览
相关问题

NO.PZ2023020101000012 问题如下 Mereth Whitney is a senior consultant inthe Swaps Aisory Group of M Capital, inpennt aisory firm. Whitneywill preparing to meet with three clients who neeaion structuring anmplementing a swprogrto manage their interest rate exposures. She isassistea junior analyst from the fixeincome group, Toni Yang.For her meetings, Whitney plans to use theta presentein Exhibit 1 below.Exhibit1 Current Term Structure of Rates (%)Note: Libor is the Lonn InterbankOffereRate. Euribor is the Euro Interbank OffereRate. Hibor is the HongKong Interbank OffereRate. All rates shown are annualizeWhitney’s first meeting is with Novatel, aUS basecompany thcurrently houtstanng loof $250,000,000 thatcarries a 5.15% fixeinterest rate. Novatel’s managers feel ththe currentinterest rate on the lois high anthey also believe thinterest rates arepoiseto cline. Whitney aises Novatel to enter into a one-yepay-floatingLibor receive-fixeinterest rate swwith quarterly payments. The notionalprincipon the swwill $250,000,000. Whitney’s first task is totermine the appropriate swrate.Using ta in Exhibit 1 ana 30/360 ycount, the annualizefixerate of the swrecommenWhitney for Novatelis closest to A.2.22%. B.3.36%. C.5.15%. Theappropriate present value factors are provibelow:Forexample, PV(90) is calculatefollows: Otherpresent value factors are calculatein a similmanner. Thefixerate is calculatefollows:rFIX=1.0−PV0,tn(1)∑i=1nPV0,tn(1)=1.0−0.9669310.996463+0.990884+0.984349+0.966931=0.008396r_{FIX}=\frac{1.0-PV_{0,t_n}(1)}{\sum_{i=1}^nPV_{0,t_n}(1)}=\frac{1.0-0.966931}{0.996463+0.990884+0.984349+0.966931}=0.008396rFIX​=∑i=1n​PV0,tn​​(1)1.0−PV0,tn​​(1)​=0.996463+0.990884+0.984349+0.9669311.0−0.966931​=0.008396 Theannualizerate =0.008396×360/90=0.033584. 没太搞明白这个操作的实际意义。公司本身有5.15%固定利率贷款,买一个pfloat, receive fixe3.36% swap. 这个fixe3.36%与我现在持有的贷款存在价差,我除了支付float之外,还有再去支付5.15-3.36的价差吗?

2024-09-21 16:06 2 · 回答

NO.PZ2023020101000012 问题如下 Mereth Whitney is a senior consultant inthe Swaps Aisory Group of M Capital, inpennt aisory firm. Whitneywill preparing to meet with three clients who neeaion structuring anmplementing a swprogrto manage their interest rate exposures. She isassistea junior analyst from the fixeincome group, Toni Yang.For her meetings, Whitney plans to use theta presentein Exhibit 1 below.Exhibit1 Current Term Structure of Rates (%)Note: Libor is the Lonn InterbankOffereRate. Euribor is the Euro Interbank OffereRate. Hibor is the HongKong Interbank OffereRate. All rates shown are annualizeWhitney’s first meeting is with Novatel, aUS basecompany thcurrently houtstanng loof $250,000,000 thatcarries a 5.15% fixeinterest rate. Novatel’s managers feel ththe currentinterest rate on the lois high anthey also believe thinterest rates arepoiseto cline. Whitney aises Novatel to enter into a one-yepay-floatingLibor receive-fixeinterest rate swwith quarterly payments. The notionalprincipon the swwill $250,000,000. Whitney’s first task is totermine the appropriate swrate.Using ta in Exhibit 1 ana 30/360 ycount, the annualizefixerate of the swrecommenWhitney for Novatelis closest to A.2.22%. B.3.36%. C.5.15%. Theappropriate present value factors are provibelow:Forexample, PV(90) is calculatefollows: Otherpresent value factors are calculatein a similmanner. Thefixerate is calculatefollows:rFIX=1.0−PV0,tn(1)∑i=1nPV0,tn(1)=1.0−0.9669310.996463+0.990884+0.984349+0.966931=0.008396r_{FIX}=\frac{1.0-PV_{0,t_n}(1)}{\sum_{i=1}^nPV_{0,t_n}(1)}=\frac{1.0-0.966931}{0.996463+0.990884+0.984349+0.966931}=0.008396rFIX​=∑i=1n​PV0,tn​​(1)1.0−PV0,tn​​(1)​=0.996463+0.990884+0.984349+0.9669311.0−0.966931​=0.008396 Theannualizerate =0.008396×360/90=0.033584. 折现因子怎么跟我算的不一样,不应该是1/(1+1.42%)^90/360吗

2024-05-08 06:11 1 · 回答

NO.PZ2023020101000012 问题如下 Mereth Whitney is a senior consultant inthe Swaps Aisory Group of M Capital, inpennt aisory firm. Whitneywill preparing to meet with three clients who neeaion structuring anmplementing a swprogrto manage their interest rate exposures. She isassistea junior analyst from the fixeincome group, Toni Yang.For her meetings, Whitney plans to use theta presentein Exhibit 1 below.Exhibit1 Current Term Structure of Rates (%)Note: Libor is the Lonn InterbankOffereRate. Euribor is the Euro Interbank OffereRate. Hibor is the HongKong Interbank OffereRate. All rates shown are annualizeWhitney’s first meeting is with Novatel, aUS basecompany thcurrently houtstanng loof $250,000,000 thatcarries a 5.15% fixeinterest rate. Novatel’s managers feel ththe currentinterest rate on the lois high anthey also believe thinterest rates arepoiseto cline. Whitney aises Novatel to enter into a one-yepay-floatingLibor receive-fixeinterest rate swwith quarterly payments. The notionalprincipon the swwill $250,000,000. Whitney’s first task is totermine the appropriate swrate.Using ta in Exhibit 1 ana 30/360 ycount, the annualizefixerate of the swrecommenWhitney for Novatelis closest to A.2.22%. B.3.36%. C.5.15%. Theappropriate present value factors are provibelow:Forexample, PV(90) is calculatefollows: Otherpresent value factors are calculatein a similmanner. Thefixerate is calculatefollows:rFIX=1.0−PV0,tn(1)∑i=1nPV0,tn(1)=1.0−0.9669310.996463+0.990884+0.984349+0.966931=0.008396r_{FIX}=\frac{1.0-PV_{0,t_n}(1)}{\sum_{i=1}^nPV_{0,t_n}(1)}=\frac{1.0-0.966931}{0.996463+0.990884+0.984349+0.966931}=0.008396rFIX​=∑i=1n​PV0,tn​​(1)1.0−PV0,tn​​(1)​=0.996463+0.990884+0.984349+0.9669311.0−0.966931​=0.008396 Theannualizerate =0.008396×360/90=0.033584. 老师,这道题为什么选了LIBOR? 我看原文说是美国公司,Whitney’s first meeting is with Novatel, a US basecompany

2023-08-31 13:16 1 · 回答

NO.PZ2023020101000012 问题如下 Mereth Whitney is a senior consultant inthe Swaps Aisory Group of M Capital, inpennt aisory firm. Whitneywill preparing to meet with three clients who neeaion structuring anmplementing a swprogrto manage their interest rate exposures. She isassistea junior analyst from the fixeincome group, Toni Yang.For her meetings, Whitney plans to use theta presentein Exhibit 1 below.Exhibit1 Current Term Structure of Rates (%)Note: Libor is the Lonn InterbankOffereRate. Euribor is the Euro Interbank OffereRate. Hibor is the HongKong Interbank OffereRate. All rates shown are annualizeWhitney’s first meeting is with Novatel, aUS basecompany thcurrently houtstanng loof $250,000,000 thatcarries a 5.15% fixeinterest rate. Novatel’s managers feel ththe currentinterest rate on the lois high anthey also believe thinterest rates arepoiseto cline. Whitney aises Novatel to enter into a one-yepay-floatingLibor receive-fixeinterest rate swwith quarterly payments. The notionalprincipon the swwill $250,000,000. Whitney’s first task is totermine the appropriate swrate.Using ta in Exhibit 1 ana 30/360 ycount, the annualizefixerate of the swrecommenWhitney for Novatelis closest to A.2.22%. B.3.36%. C.5.15%. Theappropriate present value factors are provibelow:Forexample, PV(90) is calculatefollows: Otherpresent value factors are calculatein a similmanner. Thefixerate is calculatefollows:rFIX=1.0−PV0,tn(1)∑i=1nPV0,tn(1)=1.0−0.9669310.996463+0.990884+0.984349+0.966931=0.008396r_{FIX}=\frac{1.0-PV_{0,t_n}(1)}{\sum_{i=1}^nPV_{0,t_n}(1)}=\frac{1.0-0.966931}{0.996463+0.990884+0.984349+0.966931}=0.008396rFIX​=∑i=1n​PV0,tn​​(1)1.0−PV0,tn​​(1)​=0.996463+0.990884+0.984349+0.9669311.0−0.966931​=0.008396 Theannualizerate =0.008396×360/90=0.033584. 老师,它给了 Libor Euribor Hibor ,然后是家美国公司,这个利率怎么选?

2023-08-26 12:40 1 · 回答