Now if the stock pays $5 dividend in 30 days, that's a dividend yield of -Ln(95/100) / (30/365) =~ 0.63. Plugging that into the Black-Scholes formula:
View attachment 252555
Parity relation: C - P - D = S - K, so 1 - 6 - 5 - 0.
Sell naked put, get paid $6.
Sell call and buy stock, get paid $1 option premium + $5 dividends = $6, same as the parity position.
Well, they are equivalent... as long as the estimated dividend is the same as the realized amount. Like implied vs realized vol, the dividend entered in option pricing formula is only a prediction and the actual paid amount may be lower or higher.