The Spot price of a stock index that follows a Geometric Brownian Motion is currently 4000 and over the next year it will pay dividends at a continuous rate of (delta=) 3% against a continuous risk-free rate of (r =) 2%. Its annual standard deviation is (Sigma =) 20% p.a. continuous.

For real world expectations, you should use a prospective return of (mu =) 9% continuous including dividends and a dividend yield of 3%.

What price level must the index attain in a year to reach its prospective return (answer to zero decimal places, e.g. 4321).