Question

The one-year futures price on a particular stock-index portfolio is 1,710, the stock index currently is...

The one-year futures price on a particular stock-index portfolio is 1,710, the stock index currently is 1,700, the one-year risk-free interest rate is 2.0%, and the year-end dividend that will be paid on a $1,700 investment in the index portfolio is $16.

By how much is the contract mispriced? (Input the amount as positive value.)


The futures price is $

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Answer #1

Actual index future price = $ 1710

Index Spot price = 1700

Risk free rate = 2.0%

Dividend on index = $ 16

Therefore, Arbitrage free future price = spot x (1+risk free rate) - dividend

Arbitrage free future price = 1700 x (1+2%) - 16

Arbitrage free future price = $ 1718

Actual index future price = $ 1710

Therefore future is mispriced by $8 (it is underpriced by $8)

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