Show that the put-call parity relations between the prices of floating strike and fixed strike Asian options

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Show that the put-call parity relations between the prices of floating strike and fixed strike Asian options at the start of the averaging period are given by 

S(e-qT -e-T) (r - q) T S(e-qT-erT) (r - q) T Pfe (So, , r, q, T) - cfe (So, , r, q, T) = Cfix (X, So, r, q,

By combining the above put-call parity relations with the fixed-floating symmetry relation between cfℓ and pfix , deduce the following symmetry relation between cfix and pfℓ:

X = Psi (So. . 4. r. T). r, So Cfix (X, So, r, q, T) = Pfe So,

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