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Suppose the value of the S&P 500 Stock Index is currently $1,200. If the one-year T-bill rate is 3% and the expected dividend yield on the S&P 500 is 2%, what should the one-year maturity futures price be? What if the T-bill rate is less than the dividend yield, for example, 1%?

Short Answer

Expert verified

Answer

$1,212

$1,188

Step by step solution

01

Given information

S0.= $1,200

rf = 3% = 0.03

d = 2$ = 0.02

F0 = ?

02

Calculation of 1 year maturity future price

F0=S01+rf-d

=$1,200 x (1 + 0.03 – 0.02)

=$1,212

03

Calculation of 1 year maturity less than dividend yield by 1%

F0=S01+rf-d

=$1200 x (1 + 0.01 – 0.02)

=$1,188

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