Assume that the expectations theory holds, and that liquidity and maturity risk premiums are zero. If the annual rate of interest on a 1-year Treasury bond is 6 percent in Year 1 and the rate on a 1-year Treasury bond in Year 2 (that is, 1-year Treasury rate one year from now) is 10 percent, what rate of interest should you expect on a 2-year Treasury bond now?

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

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