Markets: A Rigorous Course

M10 · Problem 1 ★ Check

Storage as a rupee cost

Crude for immediate delivery costs ₹7,000/bbl. Storage costs ₹15/bbl per month, paid at the end of each month. The rupee rate is 5.5%. (a) Derive the no-arbitrage upper bound on the three-month futures price, stating the arbitrage strategy if it is violated. (b) Compute it. (c) Show that if storage is instead charged in kind at a proportional rate uu, the bound is Se(r+u)TSe^{(r+u)T}, and find the uu that gives the same three-month bound as (b).

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Commas, ₹, % and 1e-3 notation are accepted.

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