(10 points) Mortality follows the Standard Ultimate Life Table (SULT) at i = 0.05. Calculate the following: a) (2 points) The EPV of a $5,000 10-year term annuity immediate for (50) b) (2 points) The EPV of a $5,000 10-year guaranteed whole life annuity due for (50) c) (points) The EPV for a benefit that pays $1,000 at the beginning of each year, beginning at time zero, while (30) is alive and $2,000 at the end of the year when (30) dies. d) (2 points) Calculate the value of as assuming UDD c) (2 points) Estimate as using the 2-part Woolhouse approximation 1) Extra Credit (2 points) Estimate r. 2) using the 3-part Woolhouse approximation assuming H30 - In(P:o) (10 points) Mortality follows the Standard Ultimate Life Table (SULT) at i = 0.05. Calculate the following: a) (2 points) The EPV of a $5,000 10-year term annuity immediate for (50) b) (2 points) The EPV of a $5,000 10-year guaranteed whole life annuity due for (50) c) (points) The EPV for a benefit that pays $1,000 at the beginning of each year, beginning at time zero, while (30) is alive and $2,000 at the end of the year when (30) dies. d) (2 points) Calculate the value of as assuming UDD c) (2 points) Estimate as using the 2-part Woolhouse approximation 1) Extra Credit (2 points) Estimate r. 2) using the 3-part Woolhouse approximation assuming H30 - In(P:o)