Consider two nondividend-paying stocks. 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). Under the Black-Scholes framework, you price a four-month European exchange option that provides the right to obtain S₁(0)/S₂(0) shares of stock 2 in exchange for one share of stock 1. You are given:

(i) The current price of stock 1 is $100. The current price of stock 2 is $300.

(ii) The volatility of stock 1 is 10%. The volatility of stock 2 is 20%.

(iii) The correlation between the continuously compounded returns on the two stocks is 0.5.

(iv) The continuously compounded risk-free interest rate is 15%.

Determine the current price of the exchange option.