Answer: 9.04%
Explanation:
1 year rate today = 5% = 0.05
2 years rate today = 7% = 0.07
Maturity of longer bond = 2
The ending return if the 2 years bond are bought will be thesame as the needed return on series of a year bond which will be 1.1449
The market's forecast for 1-year rates 1 year from now will be calculated as:
= 1.05(1+X) = 1.1449
1.05 + 1.05X = 1.1449
1.05X = 1.1449 - 1.05
1.05X = 0.0949
X = 0.0949/1.05
X = 0.090381
X = 9.04%
