Assume the Black-Scholes framework. For t ≥ 0, let S₁(t) and S₂(t) be the time-t prices of Stock 1 and Stock 2, respectively. You are given:

(i) S₁(0) = $100 and S₂(0) = $120.

(ii) The volatility of the 4-year prepaid forward on Stock 1 is 12%.

(iii) The volatility of the 4-year prepaid forward on Stock 2 is 15%.

(iv) Stock 1 pays dividends of 0.03S1(t) dt between time t and time t + dt.

(v) Stock 2 pays a dividend of $5 in two years.

(vi) The correlation between the natural logarithms of the 4-year prepaid forward prices on the two stocks is −0.25.

(vii) The continuously compounded risk-free interest rate is 4%.

Consider a 4-year contingent claim which pays min (S₁(4), S₂(4)).

Calculate the current price of the claim.