Your stock portfolio has a beta of 1.30 and is currently worth $20m. The S&P/ASX200 index iscurrently priced at 3540. The December-2009 maturity SPI200 futures contract is quoted at3560. How many SPI200 futures contracts are required to fully hedge your stock portfolio?Round your answer to the nearest whole number.a) 292 contractsb) 225 contractsc) 7344 contractsd) 294 contractse) 7303 contracts
Question
Your stock portfolio has a beta of 1.30 and is currently worth $20m. The S&P/ASX200 index iscurrently priced at 3540. The December-2009 maturity SPI200 futures contract is quoted at3560. How many SPI200 futures contracts are required to fully hedge your stock portfolio?Round your answer to the nearest whole number.a) 292 contractsb) 225 contractsc) 7344 contractsd) 294 contractse) 7303 contracts
Solution
To calculate the number of futures contracts needed to fully hedge the stock portfolio, we need to use the formula:
Number of contracts = (Beta * Portfolio Value) / (Futures Price * Contract Multiplier)
The Beta is 1.30, the Portfolio Value is 25.
So, the calculation would be:
Number of contracts = (1.30 * 20,000,000) / (3560 * 25)
This equals approximately 292.13 contracts.
Since we can't have a fraction of a contract, we round to the nearest whole number. So, the answer is:
a) 292 contracts
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