How to solve this? Can we use F=S*Factor/Factor formula to calculate the actual forward rate and then compare it with the given forward rate to find the arbitrage profit (obviously multiply it with BRL500000)?
Share
Sign Up to SSEI Q Forum to ask questions
Login to SSEI Q Forum
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Please share the solution!!
The solution is option b- BRL1,344.
The equation below is often called the “covered interest arbitrage relationship” because if it is not satisfied, a risk-free arbitrage opportunity exists. It is based on the required equivalence of the two possible investment paths: if the two paths do not produce the same terminal result, an arbitrage profit exists.
(1+id)=Sf/d(1+if)(1Ff/d)
where,
Sf/d = Spot rate: number of units of foreign currency (price currency) per one unit of domestic currency
Ff/d = Forward rate: number of units of foreign currency (price currency) per one unit of domestic currency
id = Domestic interest rate
if = Foreign interest rate
The left-hand side is 1 plus the return that is earned domestically. The right-hand side represents 1 plus the return from converting to foreign currency at the spot rate, investing at the foreign rate, and converting back to domestic currency using the forward rate.
The arbitrage profit is the right side of the equation minus the left side.
Left Side of Equation: BRL500,000 × (1 + 0.041) = BRL520,500
Right Side of Equation:
Step Transaction Explanation
1 BRL500,000 × (1/2.1128AUD/BRL) = AUD236,653 Convert domestic to foreign
2 AUD236,653 × (1.031) = AUD243,989 Invest foreign at foreign rate
3 AUD243,989 × 2.1388 = BRL521,844 Convert foreign to domestic
Arbitrage profit = BRL521,844 – BRL520,500= BRL1,344
THIS IS WHAT IS GIVEN IN THE CANDIDATE RESOURCES SOLUTION.