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

Rustanchor · 2024年09月21日

原理

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.

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pay float, receive fixed@3.36% swap. 这个fixed是3.36%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?

2 个答案

李坏_品职助教 · 2024年09月23日

嗨,从没放弃的小努力你好:


这个人只是为了能够享受到未来利率下降带来的好处,只要能让他的贷款成本包含浮动利率就可以了。


如果是跟5.15%的成本比较,那么只要浮动利率小于3.36%就可以降低贷款成本了(降低贷款成本,对于他来说,也就是赚钱了)。

----------------------------------------------
加油吧,让我们一起遇见更好的自己!

李坏_品职助教 · 2024年09月21日

嗨,努力学习的PZer你好:


是因为题目中的Novatel’s managers认为未来的利率会降低,希望把当前的5.15%固定利率成本转化为浮动利率成本。所以Novatel才需要签订一个receive fixed and pay floating的利率互换合约。


这样一来,原本每季度的5.15%的固定利率成本,就变成了5.15-3.36的价差 + 浮动利率,如果利率真的降低的话,那么确实会降低Novatel的总成本(当然也存在未来利率不降反升的风险)。

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

Rustanchor · 2024年09月23日

也就是下降到3.36以下,才能获利?

  • 2

    回答
  • 0

    关注
  • 1745

    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. 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. 如上

2024-03-06 10:26 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