For j = 1, 2, and t ≥ 0, let S_j(t) denote the price of one share of stock j at time t (in years). Both stocks pay no dividends.

Let π be the current price of a 4-year European exchange option that provides the right to obtain S₂(0)/S₁(0) shares of stock 1 in exchange for one share of stock 2. The continuously compounded risk-free interest rate is 15%. The volatility of stock 1 is 20%.

The volatility of stock 2 is 10%.

The correlation between the continuously compounded returns on the two stocks is 0.4.

Calculate the ratio π/S₂(0).