Question

8. A 10 year annuity with continuous payments at the rate of $1000 per year. a) 7,576.25 In #9-14, find the accumulated values at the time of the last payment of the following annuities based on i-5% 9. A six-year annuity with first payment of $250 and payments increasing by $10 per year b) 7,578.75 c) 7,579.95 d) 7,589.35 e) 7,575.45 a)1860.86 10. A five-year annuity, first payment of $6000 and payments decreasing by $1000/year 11, A fifty-year annuity, first payment of $1,000 and payments increasing by 3%per year. 12, A ten-year annuity first payment of $500 and payments decreasing by 8% per year b)1858.95 c)1862.25 d) 1863.57 e) 1857.99 a)22,645 b) 22,541 c)22,642 d)22,649 e) 22,723 a) 354,173 b) 354,175 c) 354,177 d) 354,179 e) 354,171 a) 4598 b) 4592 c) 4596 d) 4594 e) 4599 13. A twelve-year annuity with first payment of $4150 and payments increasing by 12% per year a) 123,507 b) 124,557 c) 124,507 d) 123,557 e) 124,527 14. A 15 year continuous annuity with payments at the rate of 250 per year d) 5,538.41 e) 5,528.41 a) 5,518.41 In #15-18, find the present values at t-0 of the following annuities based on i 15. Payments starting at $100 at time 1, increasing by $50lyear for 4 years and then decreasing by $100 a year for 3 years b) 5,525.41 c) 5,428.41 6%. c) 1023.46 d) 1025.46 1022.46 hiu S1000 a vear for 5 years

need help with problems 9-14 I'm stuck. actuarial science

Answer 1

9)

Given 6 years annuity

first payment =250

increasing amount =10 per year

rate of interest =5%

Accumulated value=250*(1+5/100)⁵+260*(1.05)⁴+270*(1.05)³+280(1.05)²+290*1.05¹+300*1.05⁰=$1860.86