Consider the following life table excerpt where the effective annual rate of interest is 5%. x lI AT 60 966 0.289 61 963 0.301 62 959 0.314 63 955 0.327 64 950 0.340 65 945 0.354 1. Suppose that a whole life annuity with payments of $10000 per year is issued to a life aged 60, with payments at the beginning of each year, and that the annuity has a five year guarantee period. Calculate the expected present value of this annuity. 2. Suppose that a 5 year term annuity is issued to a life aged 60, with payments of $5000 at the beginning of each month. Calculate the expected present value of the annuity using Woolhouse formula with 2 terms. 3. Calculate the following quantities: d (12) + d(12) (12) 62 using the UDD assumption + Consider the following life table excerpt where the effective annual rate of interest is 5%. x lI AT 60 966 0.289 61 963 0.301 62 959 0.314 63 955 0.327 64 950 0.340 65 945 0.354 1. Suppose that a whole life annuity with payments of $10000 per year is issued to a life aged 60, with payments at the beginning of each year, and that the annuity has a five year guarantee period. Calculate the expected present value of this annuity. 2. Suppose that a 5 year term annuity is issued to a life aged 60, with payments of $5000 at the beginning of each month. Calculate the expected present value of the annuity using Woolhouse formula with 2 terms. 3. Calculate the following quantities: d (12) + d(12) (12) 62 using the UDD assumption +