Write a single symbol for each of the followings. a) The present value at age 40 of an annuity of 1 per annum, first payment at age 47. b) The present value at age 25 for 30 years deferred 15 years temporary annuity due of 1 per annum. c) The present value of a $200 at age 20 of an annuity due deferred to age 25. d) The accumulated value of $100 at the end of 15 years with benefit of interest and survivorship to a person age 30. (20 marks) Write a single symbol for each of the followings. a) The present value at age 40 of an annuity of 1 per annum, first payment at age 47. b) The present value at age 25 for 30 years deferred 15 years temporary annuity due of 1 per annum. c) The present value of a $200 at age 20 of an annuity due deferred to age 25. d) The accumulated value of $100 at the end of 15 years with benefit of interest and survivorship to a person age 30. (20 marks)