Kindly assist me to address the following questions precisely

Assume that there is no arbitrage in the market. A forward contract is available on a physical asset. The continuously compounded costs of managing the asset are *% of its value, and it provides an income stream of fy per ton payable at six monthly intervals, a payment has just been made. Let S, be the spot price of one ton of the asset at time f and let / be the continuously compounded risk-free rate of interest per annum which is assumed to be constant. Derive the current price of a forward contract written on one ton of the asset with maturity 7 years where (6 months where r, is the short rate of interest at time / and satisfies the following stochastic differential equation under the real-world measure P: ar, = ur di + adz,. where u >0 and 7, is a standard Brownian motion under P. (i) Derive a formula for the instantaneous forward rate f(1, 7), based on this model [2] (ii) Derive an expression for the market price of risk. [4] (Hii) Deduce the stochastic differential equation for z, under the risk-neutral measure Q defining all terms used. [2] [Total 8]