An insurer issues a 5-year combined death and sickness policy to a healthy life aged 40. You are given: 8 = 0.06 The annual rate of premium, P, is payable continuously while the insured is healty. Death benefit: 10,000 at the moment of death, with additional 5,000 if the insured is sick at death. Sickness benefit: 5,000 payable continuously while the insured is sick. Healthy 0 10 Hatt Sick ,01 Hatt * 10 2 2 Dead Write down a formula for reserves s:V() and eV(1) using integrals. An insurer issues a 5-year combined death and sickness policy to a healthy life aged 40. You are given: 8 = 0.06 The annual rate of premium, P, is payable continuously while the insured is healty. Death benefit: 10,000 at the moment of death, with additional 5,000 if the insured is sick at death. Sickness benefit: 5,000 payable continuously while the insured is sick. Healthy 0 10 Hatt Sick ,01 Hatt * 10 2 2 Dead Write down a formula for reserves s:V() and eV(1) using integrals