Answer: -2.55%
Explanation:
The formula to calculate Forward Rate is:
Forward Rate = Spot rate X [tex]\frac{1 + I_{O} }{1 + I_{D} }[/tex]
where [tex]I_{O}[/tex] is the Interest rate of the overseas country and
[tex]I_{D}[/tex] is the Interest rate of the domestic country
$0.0052 = 0.005 X [tex]\frac{1 + 0.0135 }{1 + I_{D} }[/tex]
$0.0052 X [tex]{1 + I_{D} }[/tex] = 0.005 X 1.0135
$0.0052 X [tex]{1 + I_{D} }[/tex] = 0.0050675
[tex]{1 + I_{D} }[/tex] = [tex]\frac{0.0050675}{0.0052}[/tex]
[tex]{1 + I_{D} }[/tex] = 0.9745 - 1
[tex]{I_{D} }[/tex] = - 0.02548
The yield on 180-day risk-free securities in the United States is -2.55%