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Maximum Interest Rate/ Effective Interest Rate

IIQ9y ago
Hi John For a borrower - He limits his maximum interest rate payable by exercising his put option right? As per your lecture the max interest rate/effective interest rate =strike price + spread + premium However I have tried various questions and checked the effective interest rate the above way- it doesn't match with the actual effective interest rate paid. I will write down the rates I got from all the interest rate option questions in this order ( rate using the lecture method/actual effective interest rate paid) 1) Alecto (Pilot Paper) - We exercise the option when interest rate moves to 3.8% and strike rate is 3.5%-Contracts rounded off to 37 from 36.67 (4.88%/4.70%) 2) Phobos (Dec 2008) - if we select strike rate as 6% we will exercise it when interest rate moves to 7%-Contracts are exact 80. (6.668%/6.628%) - I thought the difference was due to rounding of contracts until I did this question. 3)Keshi (Dec 2014) - If we select 4.5% as strike rate , we will exercise when interest rate moves to 4.3%-Contracts are exact 42 (5.562%/5.342%) 4)Daikon (June 2015) - 62 contracts exact Interest rate moves to 4.4% Exercise price 4.5% - (5.504%/5.344%) Exercise price 4.0% - (5.208%/5.048%) 5)There is a slight difference between the rates in your lecture as well. What is the reason for this ? There is a difference between the rates even when we are a lender.
John MoffatJohn MoffatTutor9y ago#1
It is because of the change in the basis risk (falling to zero over the life of the future). Because they are options on futures you will find that the differences between your figures and the exam answers is down to the basis risk. For futures themselves, then obviously the basis risk is important. For illustrating how options work, it is a minor point for the exam and wouldn't lose you marks.
IIQ9y ago#2
Thanks John :)
John MoffatJohn MoffatTutor9y ago#3
You are welcome (and thank you for raising the question - it kept be occupied for a while thinking about it :-) )
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