Finding highest possible value of x

[uyttrefds]

Stock prices are lognormally distributed. The current stock price is $82. The expected rate of return on the stock is 15 percent. The stock pays 3 percent continuous dividend. The volatility of the stock is 30 percent. The stock price can be really low in 9 months. Call this price to be X. The probability of the stock price is even lower than X is less than 5 percent. Find the highest possible value of X.

I honestly have no clue how to approach this, I think the wording is throwing me off. If anyone could give me some guidance in the right direction I would really appreciate it.

 

[David Harper CFA FRM]

@uyttrefds you need to source questions like this (if you want me to even try to help). If it's textbook end of chapter question, we may be able to link to helpful reference(s)