The following is a list of prices for zero$-$coupon bonds with different maturities and par value of $$1,000.$

Given the liquidity risk premium is $3\%,$ what is the expected future spot rate in the third year according to the

liquidity preference hypothesis?

a$.6\mathrm{.}97\%$

b$.5\mathrm{.}97\%$

c$.8\mathrm{.}97\%$

d$.9\mathrm{.}37\%$