
Explanation:
The forward price with discrete compounding for an asset with storage costs and a convenience yield is given by the formula , where is the spot price, is the present value of storage costs, is the risk-free rate, is the convenience yield, and is the time to maturity.
Rearranging the formula to solve for :
$1 + y = (1.47937)^{1/3} = 1.1394y = 0.139413.94`%$.
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Q.17 Assume that the spot price of petroleum is USD 110 per barrel and the 3-year futures price is 95 per barrel. Suppose further that the present value of storing petroleum for three years is USD 8 and the annually compounded risk-free rate is 6% per year. What is the implied convenience yield?
A
13.94%.
B
1.41%.
C
11.31%.
D
8.54%.