The current spot price of WTI Houston Crude Oil Futures, expiring in 1-year, is $43 (per bbl). You can contract storage cost for oil, for one year, at 2% (of the underlying spot price) on a continuously compounded basis. The risk-free rate is 0.5% per annum on a continuously compounded basis. If the current spot price for oil is $40.50, what is the implied convenience yield for this contract?

-3.49%

Explanation:

Theoretical price (Ft) = $43

Current spot price (St) = $40.5

Storage cost (u) = 2%

Risk free rate (Rf) = 0.5%

T = 1 year

Let y = Convenience yield

Ft = St e^(Rf + u - y)T

43 = 40.5 e^(0.005 + 0.02 - y)

y = - 3.49%

Hence, convenience yield = -3.49%

answer/// real gdp decreases to y3 and the price level falls to p3;

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