Answer to Question #175734 in Financial Math for Andrea

Question

The Chicago Mercantile Exchange (CME) E-mini S&P 500 index futures contract for December 2021 (symbol: ESZ1) closed at 3845.00. Suppose that the S&P 500 index closed at 3875.00, and that the interest rate is 2%. What is the implied dividend yield on the index?

Answer 1

$F=$ $3845.00, S=$ $3875.00, r=2\%$

F=S+INTEREST SAVED - DIVIDEND FOREGONE

$3845=3875+2\% of 3875-dividend$

$dividend=3875+2\%of 3875-3845=3875+77.5-3845=107.5$

dividend yield$=dividend/S=107.5/3875=0.027742=2.7742\%$