MGT 4451 Name: Spring 2009

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MGT 4451
Spring 2009
Name:
March 24, 2009
1. Pricing Stock Index Futures: Calculate the price of an S&P500 future contract with 60
days until settlement. Today’s level of S&P500 1,376.11; dividend yield is 1.63% and Tbill rate is 4.15%.
2. You manage a portfolio of stocks worth 45 mil and beta 1.2. You expect downturn and
you want to protect your portfolio by cutting beta in half using S&P500 futures with
September settlement 1405. How many contracts you need? What will be your position
on those contracts?
1405*250=351,250
45,000,000*1.2=54,000,000
You need to short approximately 154 contracts for perfect hedge or 77 to decrease beta to .6
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