please help get the solutions for the question below

A life insurance company issues a 15-year increasing term assurance policy to a life aged 50 exact. The death benefit on the policy, payable immediately on death, is given by the formula: (10,000 x [6+1] ! =0, 1,2, ..., 14 where / denotes the curtate duration in years since the inception of the policy. Level premiums on the policy are payable monthly in advance for the term of the policy, ceasing on death if earlier. Calculate the monthly premium for the policy using the following premium basis: Mortality AM92 Select Interest 6% per annumn Expenses Initial (225 Renewal f65 per annum inflating at 1.92308% per annum, at the start of the second and subsequent policy years Commission Initial 30% of the total premium payable in the first policy year Renewal 4% of the second and subsequent monthly premiums Claim f275 on termination, inflating at 1.92308% per annum Inflation For renewal and claim expenses, the amounts quoted are at outset, and the increases due to inflation start immediately. [8] (ii) Calculate the gross prospective reserve for the policy at the end of the 14" policy year using the elements of the premium basis that are relevant. [3] (iii) Write down an expression for the gross future loss random variable at the end of the 14" policy year, again using the elements of the premium basis that are relevant. [4] [Total 15]