In a multifactor Gauss$/$Markov HJM model $($as specified in the lectures$),$ derive the

pricing formula for a constant$$maturity swap of the following type: Consider a swap,

where one leg consists of payments of the six$$month market floating rate observed

at times Ti$,0<=$ i $<$ N$,$ for accrual periods $[$Ti$,$ Ti$+1],$ with Ti$+1$ Ti $=0\mathrm{.}5(6$

months$).$ These payments are made at time Ti$,$ i$.$e$.$ in advance $($at the beginning of

each accrual period$).$ Note that this is a key difference to the constant maturity swap

considered in the tutorial. The other leg of the swap consists of payments at every

Ti$,0<=$ i $<$ N$,$ of interest based on the $($then prevailing$)$ one$$year market rate. You

do not need to explicitly solve any classical integrals over volatility functions which

may appear in your derivation.