Carlos would like to invest a certain amount of money for two years and considers investing in a one$-$year bond that pays $6$ percent and a two$-$year bond that pays $8$ percent. Carlos is considering the following investment strategies:

Strategy A: Buy a one$-$year bond that pays $6$ percent and in year one, then buy another one$-$year bond that pays the forward rate in year two.

Strategy B: Buy a two$-$year bond that pays $8$ percent in year one and $8$ percent year two.

If the one$-$year bond purchased in year two pays $10$ percent, and the liquidity premium on a two$-$year bond is $0\mathrm{.}7$ percent, Carlos will choose $.$

Which of the following describes conditions under which Carlos would be indifferent between Strategy A and Strategy B$?$

The rate on the one$-$year bond purchased in year two is $10\mathrm{.}033$ percent.

The rate on the one$-$year bond purchased in year two is $8\mathrm{.}908$ percent.

The rate on the one$-$year bond purchased in year two is $9\mathrm{.}377$ percent.

The rate on the one$-$year bond purchased in year two is $9\mathrm{.}658$ percent.