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CC · 2023年08月26日

Fix rate计算

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.

老师,它给了 Libor Euribor Hibor ,然后是家美国公司,这个利率怎么选?



1 个答案

Lucky_品职助教 · 2023年09月01日

嗨,爱思考的PZer你好:


这道题不涉及这三个利率的选项哦,

根据题干a US based company that currently has an outstanding loan of $250,000,000 that carries a 5.15% fixed interest rate可知道这是家美国公司,如果互换的话,也是互换美元的浮动利率,因此可能用的是Libor

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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