In the class of affine models for the interest rate consider a named model specified by parameters $\backslash$alpha $=0,\backslash$beta $=2,\backslash$gamma $=\backslash$eta $=1.$

a$)$ Identify the model.

b$)$ Under the identified model, calculate the price of the bond $($with the principal $1)$ with

maturity $14$ weeks from now given that the spot interest rate is r $=5\%.$ Note: $1$ year $=52$ weeks.