31-33 all please

31. A couple deposits $500 at the beginning of every month for 5 ycars in a fund earning interest at j4=8%. The fund credits simple interest for any fractional interest periods. What is the accumulated value of their fund at the end of 5 years? (A) $36,689.03 (B) $36,932.00 (C) $37,670.64 (D) $36,930.93 32. You have two options: - Buy an ordinary perpetuity that pays $2000 every 6 -months or - Buy an annuity-due that pays SR every three months for 20 -years Both annuities have an interest rate of jt=8% and have the same present value. What is the value of R ? You are given: a8010.02=39.7445 (A) $1233.27 (B) $1245.58 (C) $1221.16 (D) $1258.04 33. A total of 10 annual deposits of $1200 are made, with the first deposit made today. What is the accumulated value of these deposits at the end of 15 years, if j4=10% ? (A) $35,230.52 (B) $31,917.12 (C) $34,506.62 (D) $31,369.66