The interest rate on 3-year Treasury securities is currently 6%. The interest rate on 4-year Treasury securities is currently 7%. Assume that the pure expectations theory is correct. To the closest whole percent, what is a reasonable forecast of the rate on 1-year Treasury securities 3 years from now

Respuesta :

Answer:

the one year rate three years into the future will be of 10.05%

Explanation:

Both securities will "yield" the same for the first three years

but the 4-year treasury has a premium on the fourth year which makes the yield go up to 7%

[tex](1+0.06)^3(1+r)=(1.07)^4\\[/tex]

[tex](1+r)= \frac{1.07^4}{1.06^3} \\r= \frac{1.07^4}{1.06^3} -1[/tex]

r =  0.10057  = 10.05%