The S&P 500 spot price is $4,570. The futures price with 6-months delivery is $4,895. The risk-less rate of return for 6-months is 3.68%.   You enter into ONE futures contract to deliver ONE index portfolio in 6-months and receive $4,895. Whatever profit you make, you transfer to today. How much $ profit will you have today?   Hint: Borrowing money today and selling risk-less bonds are equivalent actions.   Whatever $ profit you may make from the above transactions, you have to bring back to today by borrowing at the risk-less rate.   Assume no transactions costs (you can borrow and lend at the risk-less rate etc.).

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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The S&P 500 spot price is $4,570. The futures price with 6-months delivery is $4,895. The risk-less rate of return for 6-months is 3.68%.

 

You enter into ONE futures contract to deliver ONE index portfolio in 6-months and receive $4,895. Whatever profit you make, you transfer to today. How much $ profit will you have today?

 

Hint: Borrowing money today and selling risk-less bonds are equivalent actions.

 

Whatever $ profit you may make from the above transactions, you have to bring back to today by borrowing at the risk-less rate.

 

Assume no transactions costs (you can borrow and lend at the risk-less rate etc.).

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