Calculate the fair no-arbitrage spot price of oil if the price of a one year forward is $75, the discrete one year interest rates are 6%, and annual storage costs are $4 per barrel paid at the end of the year.

Calculate the fair no-arbitrage spot price of oil if the price of a one year forward is $75, the discrete one year interest rates are 6%, and annual storage costs are $4 per barrel paid at the end of the year.
A . $70.75
B . $74.53
C . $71
D . $66.98

View Answer

Answer: D

Explanation:

If $x be the spot price of oil, then in order for the forward price to be $75, the following relationship must hold: ($x + $4/(1.06))*(1 + 6%) = $75. Solving, we get x = $66.98