You find the following information in December 2019. Assume the T-bill maturity and futures delivery are on the same day. Ignore transactions costs. Treasury Bill Maturity DTM Bid Asked Mar 20 90 1.19 1.18 Index Futures S&P 500 Index (CME) – 250 x index, cents per unit Open High Low Settle Mar 20 3324 3326 3320 3322 S&P 500 closed at $3329 on the same day. Suppose that if you buy one unit of S&P 500 index today, you will be entitled to a 2% dividend yield in March. Design a zero net investment arbitrage strategy involving: (1) buying the index for $3329, (2) shorting the futures for no cash now, (3) and borrowing $3329 at the spot rate. Show your profit per one futures contract (250 units of the index).

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
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You find the following information in December 2019. Assume the T-bill maturity and futures delivery are on the same day. Ignore transactions costs.

Treasury Bill

Maturity DTM Bid Asked

Mar 20 90 1.19 1.18

Index Futures

S&P 500 Index (CME) – 250 x index, cents per unit

Open High Low Settle

Mar 20 3324 3326 3320 3322

S&P 500 closed at $3329 on the same day.

Suppose that if you buy one unit of S&P 500 index today, you will be entitled to a 2% dividend yield in March. Design a zero net investment arbitrage strategy involving: (1) buying the index for $3329, (2) shorting the futures for no cash now, (3) and borrowing $3329 at the spot rate. Show your profit per one futures contract (250 units of the index).

 

  a.

$12,395

  b.

$10,114

  c.

$18,948

  d.

$11,639

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