Based on the price the three-month treasury bill was sold at, and the face value, the yield to maturity as an EAR would be -0.010223%.
First find the 3 month yield to maturity:
= Face value / Sale value
= 100 / 100.002556
= -0.002556%
Expressed as an EAR, this is:
= (1 - 0.002556/100.002556)⁴ - 1
= -0.010223%
The Annual yield to maturity would be:
= -0.002556% x 3 / 12 monts
= -0.010224%
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