S&P 500 to SPX to SPY conversion formula

I'm combining info from SPX and SPY options to make my trading decisions, but I have a problem with converting SPX prices into SPY prices.
Interesting. I did the research for this a while ago.

If anybody has a formula it would be appreciated if he can share it.

This is a model for pricing the difference based on the risk-free rate and expected dividend.

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The basis actually contains an embedded floating interest rate.
 
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