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Dec 2012 Q2

Rrouri12y ago
I am going through the answer of Q2 but I don't how to apply rates when they are expressed as 8.7% basis rates or 2.2% etc. also, I am not clear on the computation of the forward rate or why has it been divided by 3? Same applies for the premium computation for the option. I know how to compute a premium but in this question the cost has been multiplied by a reinvestment rate (which I don't know where it was obtained)
John MoffatJohn MoffatTutor12y ago#1
I don't know what you mean by basis rates! Are you meaning basis points? 1 basis point means 0.01% Interest rates are always quoted as annual rates. So if you are borrowing/depositing for 4 months, then the actual interest will be 4/12 of the annual interest rate. The forward rate is calculated using the interest rate parity formula that is given on the formula sheet. There is no mention of a reinvestment rate in either the question or the answer! What I think you are talking about is that because the option premium is payable immediately we will either have to borrow money (and therefore pay interest - the borrowing rate) or, if we already have the money, then lose interest that we could otherwise be receiving - the investment or deposit rate. The examiner allowed you to use either rate because it depends on your assumption.
Rrouri12y ago#2
This is an excerpt from the question "The first derivative product is an over-the-counter forward rate determined on the basis of the Zuhait base rate of 8·5% plus 25 basis points and the French base rate of 2·2% less 30 basis points. current spot exchange rate of ZP142 per €1. " This is the answer "Using forward rate Forward rate = 142 x (1 + (0·085 + 0·0025)/3)/(1 + (0·022 – 0·0030)/3) = 145·23" why do we divide by 3 and why do we divide by the French basis points?
John MoffatJohn MoffatTutor12y ago#3
It is as exactly as i wrote in my previous answer. It is using the interest rate parity formula, so you multiply the spot rate by (1 + zhuhai interest rate) / (1 + French interest rate) The Zuhait rate from the question is 8.5 + 0.25 = 8.75%, and the French rate from the question is 2.2% - 0.3% = 1.9% These are annual rates, so because we are looking at a period of 4 months, the interest for 4 months is 4/12 of the annual rate. 4/12 = 1/3.
Ffaisal199012y ago#4
Is it not true that the interest rates are not the predictor of forward rates? i.e we can not use them to predict the forward rate?
John MoffatJohn MoffatTutor12y ago#5
Relative interest rates are what determine forward rates. I think that you maybe confusing with future spot rates. It is impossible to predict future spot rates - in the exam, inflation rates are used as the best predictor. However forward rates are not a 'guess' by the bank - they calculate the forward rate to offer by using interest rates.
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