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zzlvpc · 2019年05月09日

2016 Q8 C问

One of Devon’s clients is planning to acquire a competing firm in 109 days. The acquisition will initially be financed by a USD 80,000,000 bridge loan with a term of 180 days and a rate of
180-day Libor plus 300 bps. Principal and interest will be paid at the end of the loan term. Theclient is concerned about a potential increase in interest rates before the initiation of the loan, andasks for advice on fully hedging this interest rate risk.
A derivatives analyst at Devon advises the client to buy an interest rate call option on 180-day Libor with an exercise rate of 2.0% for a premium of USD 86,000. The call expires in 109 days and any payoff occurs at the end of the loan term. Current 180-day Libor is 2.2%. The client can finance the call option premium at current 180-day Libor plus 300 bps.
At initiation of the loan 109 days later, 180-day Libor is 3.5%.
C.Calculate the effective annual rate (in bps) on the loan. Show your calculations

 为什么答案里, call premium算的是109天之后的值,loan的值减去109天之后的call premium相当于实际拿到手的钱?下划线部分让我的理解就是0天拿到loan,第109天执行call的权利。那就是在0天拿到的就是loan-call premium。

老师,麻烦您解答一下。谢谢!

1 个答案

企鹅_品职助教 · 2019年05月10日

t=0的时候就要付call premium, 因为没有钱,所以要借钱付。

下划线的意思是t=109时loan开始(拿到loan),决定是否执行call。要先还call premium的钱,所以要算109天后的值。

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