Consider the following list of European Put option prices.

Strike	Price
90	$0.50
92	$1.00
94	$1.80
96	$3.00

All Puts mature in T = 0.5 (half a year). Current continuous interest rates are 6% and initially S(0) = 94.5. Give the best upper- and lower- bounds on the price of a European Put on the same asset with strike K = 98 and same maturity T = 0.5. Clearly explain reasoning.