Suppose that the prices of zero$-$coupon bonds with various maturities are given in the following table. The face value of each bond is

$$1,000.$

a$.$ Calculate the forward rate of interest for each year. $($Round your answers to $2$ decimal places.$)$

b$.$ How could you construct a $1-$year forward loan beginning in year $3?($Round your Rate of synthetlc loan answer to $2$ decimal

places.$)$

c$.$ How could you construct a $1-$year forward loan beginning in year $4?($Round your Rate of synthetlc loan answer to $2$ decimal

places.$)$