# is the spot price calculated at time 0 (i.e 6 months before the first coupon) or when the contract is negotiated?

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In Question 2, why did we calculate the present value of the security to time 0 not 8/12 months if the contract is negotiated at time 8/12?

$$P = v^{\frac{2}{3}}(5\ddot{a}_{\overline{19}|}+120v^{18}) = 142.26$$
$$I = v^{\frac{2}{3}}(5+5v+5v^2) = 14.29$$
$$K=(P-I)e^{0.05\text{x}1.5} = 137.93$$