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