6. We will resuse the pet insurance survival function from last time. Recall that the survivalship of a population of pets is such that 20% fail during the first 5 years, with the age at failure uniformly distributed. After that, they are subject to a constant force of mortality so that at age r = 10, there are only 10% left. As a result, the survival function is as detailed in the Assignment 3 solutions. You do not have to provide its derivation here. But it's good practice to try that one again. The force of interest is 8 = 5%. The insurance premium is being paid at a rate of $400 per year for 8 years, or until death if that comes sooner. Find the EPV of the insurance premium payments if a) The premiums are paid at the beginning of each year. b) The premiums are paid at the end of each year. c) The $400 per year is paid by continuous deductions throughout the year. (computed exactly with continuous sums, do not use the approximations) 6. We will resuse the pet insurance survival function from last time. Recall that the survivalship of a population of pets is such that 20% fail during the first 5 years, with the age at failure uniformly distributed. After that, they are subject to a constant force of mortality so that at age r = 10, there are only 10% left. As a result, the survival function is as detailed in the Assignment 3 solutions. You do not have to provide its derivation here. But it's good practice to try that one again. The force of interest is 8 = 5%. The insurance premium is being paid at a rate of $400 per year for 8 years, or until death if that comes sooner. Find the EPV of the insurance premium payments if a) The premiums are paid at the beginning of each year. b) The premiums are paid at the end of each year. c) The $400 per year is paid by continuous deductions throughout the year. (computed exactly with continuous sums, do not use the approximations)