(i) No Hedge:
Current:
= LIBOR + 3% = 0.75% + 3% = 3.75%
Expected:
= LIBOR + 3% = 1.25% + 3% = 4,25%
(ii) FRA:
Current:
= FRA rate = 4% = 4%
Expected:
= FRA rate = 4% = 4%
(iii) Cap:
Cap is nothing but a European Call Option for the interest rate.
Therefore, maximum interest that we will pay is 4% and ONE TIME premium PAID will be 1%
Current:
= LIBOR + 3% = 0.75% + 3% = 3.75%
Effective Interest rate = 3.75%+1% = 4.75%
Expected:
= LIBOR + 3% = 1.25% + 3% = 4,25%
Effective Interest rate = 4%(maximum) +1% = 5%
(iv) Collar
Collar means BOTH Buying a Cap and Selling a Floor
Floor is nothing but a European Put Option for the interest rate.
In Collar, effective interest rate will be maximum 4% i.e. Cap AND minimum 3.85% i.e. Floor and ONE TIME premium PAID will be 1% and RECEIVED will be 0.75%
Current:
= LIBOR + 3% = 0.75% + 3% = 3.75%
Effective Interest rate = 3.85%(minimum) + 1% - 0.75 = 4.15%
Expected:
= LIBOR + 3% = 1.25% + 3% = 4,25%
Effective Interest rate = 4%(maximum) +1% - 0.75% = 4.25%
Therefore, BEST Alternative will be the one with LOWEST Effective Interest Rate i.e. FRA
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