The proportional bid-offer spread is defined as the spread (Offer - Bid) divided by the mid-price.

1. Calculate the Mid-Price: Mid-Price = (Offer + Bid) / 2 = ($96.00 + $89.00) / 2 = $92.50
2. Calculate the Spread: Spread = Offer - Bid = $96.00 - $89.00 = $7.00
3. Calculate the Proportional Spread: Proportional Spread = Spread / Mid-Price = 7.00 / 92.50 = 0.075675... ≈ 0.0757

Therefore, the nearest value is 0.0757.