Help in solving the questions below. Ensure precision in your answers.

A study has been undertaken into the effect of a new treatment on the survival times of patients suffering from a tropical disease. The following model has been fitted: h,(1) = ho(!) exp( B =) where h (r) is the hazard at time f, where / is the time since treatment ho (f) is the baseline hazard at time is a vector of covariates, where - period from diagnosis to treatment in years = 0 if existing treatment given, 1 if new treatment given = 0 if female, 1 if male B is a vector of parameters, where - 0.5 -0.01 --0.05 State the group of lives to which the baseline hazard applies. [1] (ii) For a male who was given the new treatment 6 months after diagnosis: (a) Write down the hazard function, in terms of hy () only. (b) Express the survival function, in terms of ho () only. [3] (iii) For a female given the new treatment at the time of diagnosis, the probability of survival for 5 years is 0.75. Calculate the probability that the male in (ii) will survive 5 years. [3] [Total 7]Calculate, using 10% pa interest, the convexity of the following assets, each of which has a discounted mean term of 11 years. Comment on your answers. Asset A is an 11-year zero coupon bond. Asset B will provide a lump sum payment of 19,663 in 5 years' time and a lump sum payment of (26,910 in 20 years' time. Asset C is a level annuity of 1 pa payable annually in arrears for 50 years