explain Index Arbitrage, what conditions must exist and how profits are earned through the strategy. To be awarded the most points, a numerical example should be devised that supports your answer.

Define and explain Index Arbitrage:

a. F<=Se^(r-q)(T-t)

b. F>=Se^(r-q)(T-t)

Use S₀ = 1500, S_T = 1500, r = 0.05, q = 0, T =1, and F = 1550 for scenario a, and F = 1600 for scenario b.