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Exam FM Annuities and Non-contingent Cash Flows practice problems

Independently written solutions mapped to this official syllabus topic. Pages appear only after all required checks agree.

Topic orientation

What this topic tests

Annuities and Non-contingent Cash Flows covers level, due, deferred, increasing, decreasing, and geometrically varying payment streams. These practice problems test whether the payment dates—not the appearance of the formula—determine the correct present or accumulated value.

Draw the first and last payment dates, identify the rate per payment period, and then choose an annuity factor or direct cash-flow sum. TVM keys reproduce level annuities; varying streams often belong in the cash-flow worksheet or a written summation.

Typical failure modes

  • Using annuity-immediate for a stream whose first payment occurs at time zero
  • Applying the deferral factor from the wrong valuation date
  • Treating a payment frequency as though it were a cash-flow amount

Published ledger

Exam FM Annuities and Non-contingent Cash Flows practice problems and solutions

Each entry shows its independent calculation record and links to the official source without reproducing protected wording.

  1. SOA Exam FM Sample Question #2Periodic Deposit AccumulationVerified
  2. SOA Exam FM Sample Question #4Increasing PerpetuityVerified
  3. SOA Exam FM Sample Question #5Accumulation of Transferred Cash FlowsVerified
  4. SOA Exam FM Sample Question #8Geometric Annuity ExchangeVerified
  5. SOA Exam FM Sample Question #11Deferred Growing PerpetuityVerified
  6. SOA Exam FM Sample Question #14Multi-Level Deposit AccumulationVerified
  7. SOA Exam FM Sample Question #15Increasing Annuity Present ValueVerified
  8. SOA Exam FM Sample Question #17Continuous Cash-Flow AccumulationVerified
  9. SOA Exam FM Sample Question #20Perpetuity Share DecompositionVerified
  10. SOA Exam FM Sample Question #24Perpetuities at Different FrequenciesVerified
  11. SOA Exam FM Sample Question #26Growing Annuity Present ValueVerified
  12. SOA Exam FM Sample Question #35Retirement Accumulation AnnuityVerified
  13. SOA Exam FM Sample Question #36Equation of Value TimingVerified
  14. SOA Exam FM Sample Question #65Annuity Exhaustion Drop PaymentVerified
  15. SOA Exam FM Sample Question #66Perpetuities with Different FrequenciesVerified
  16. SOA Exam FM Sample Question #68Changing Accumulation RatesVerified
  17. SOA Exam FM Sample Question #70College Fund ShortfallVerified
  18. SOA Exam FM Sample Question #74Growing Monthly Retirement AnnuityVerified
  19. SOA Exam FM Sample Question #77Equation of Value with Quarterly DepositsVerified
  20. SOA Exam FM Sample Question #78Equivalent Yield on Irregular DepositsVerified
  21. SOA Exam FM Sample Question #79Savings and Withdrawal EquationVerified
  22. SOA Exam FM Sample Question #80Annuity Exchange under Changing RatesVerified
  23. SOA Exam FM Sample Question #82Deferred Increasing AnnuityVerified
  24. SOA Exam FM Sample Question #83Growing Deposits and WithdrawalsVerified
  25. SOA Exam FM Sample Question #84Geometric Perpetuity DueVerified
  26. SOA Exam FM Sample Question #85Continuous PerpetuityVerified
  27. SOA Exam FM Sample Question #111Annuities and PerpetuitiesVerified
  28. SOA Exam FM Sample Question #113Annuities and PerpetuitiesVerified
  29. SOA Exam FM Sample Question #114Annuities and PerpetuitiesVerified
  30. SOA Exam FM Sample Question #115Annuities and PerpetuitiesVerified
  31. SOA Exam FM Sample Question #116Annuities and PerpetuitiesVerified
  32. SOA Exam FM Sample Question #117Annuities and PerpetuitiesVerified
  33. SOA Exam FM Sample Question #118Annuities and PerpetuitiesVerified
  34. SOA Exam FM Sample Question #119Annuities and PerpetuitiesVerified
  35. SOA Exam FM Sample Question #120Annuities and PerpetuitiesVerified
  36. SOA Exam FM Sample Question #121Annuities and PerpetuitiesVerified
  37. SOA Exam FM Sample Question #122Annuities and PerpetuitiesVerified
  38. SOA Exam FM Sample Question #123Annuities and PerpetuitiesVerified
  39. SOA Exam FM Sample Question #160Annuities and PerpetuitiesVerified
  40. SOA Exam FM Sample Question #164Annuities and PerpetuitiesVerified
  41. SOA Exam FM Sample Question #169Annuities and PerpetuitiesVerified
  42. SOA Exam FM Sample Question #170Annuities and PerpetuitiesVerified
  43. SOA Exam FM Sample Question #171Annuities and PerpetuitiesVerified
  44. SOA Exam FM Sample Question #173Annuities and PerpetuitiesVerified
  45. SOA Exam FM Sample Question #174Annuities and PerpetuitiesVerified
  46. SOA Exam FM Sample Question #175Annuities and PerpetuitiesVerified
  47. SOA Exam FM Sample Question #178Annuities and PerpetuitiesVerified
  48. SOA Exam FM Sample Question #179Annuities and PerpetuitiesVerified
  49. SOA Exam FM Sample Question #182Annuities and PerpetuitiesVerified
  50. SOA Exam FM Sample Question #201Growing PerpetuitiesVerified
  51. SOA Exam FM Sample Question #202Geometrically Varying AnnuitiesVerified
  52. SOA Exam FM Sample Question #208Arithmetically Increasing PerpetuitiesVerified
  53. SOA Exam FM Sample Question #209Reinvestment of InterestVerified
  54. SOA Exam FM Sample Question #211Deferred PerpetuitiesVerified
  55. SOA Exam FM Sample Question #215Geometrically Increasing DepositsVerified
  56. SOA Exam FM Sample Question #217Arithmetically Increasing AnnuitiesVerified
  57. SOA Exam FM Sample Question #233AnnuitiesVerified
  58. SOA Exam FM Sample Question #236AnnuitiesVerified
  59. SOA Exam FM Sample Question #237AnnuitiesVerified
  60. SOA Exam FM Sample Question #238AnnuitiesVerified
  61. SOA Exam FM Sample Question #242AnnuitiesVerified
  62. SOA Exam FM Sample Question #244AnnuitiesVerified
  63. SOA Exam FM Sample Question #245AnnuitiesVerified
  64. SOA Exam FM Sample Question #253AnnuitiesVerified
  65. SOA Exam FM Sample Question #254AnnuitiesVerified
  66. SOA Exam FM Sample Question #259AnnuitiesVerified
  67. SOA Exam FM Sample Question #261AnnuitiesVerified
  68. SOA Exam FM Sample Question #262AnnuitiesVerified
  69. SOA Exam FM Sample Question #276AnnuitiesVerified
  70. SOA Exam FM Sample Question #277AnnuitiesVerified
  71. SOA Exam FM Sample Question #278AnnuitiesVerified
  72. SOA Exam FM Sample Question #285AnnuitiesVerified
  73. SOA Exam FM Sample Question #286AnnuitiesVerified
  74. SOA Exam FM Sample Question #298AnnuitiesVerified
  75. SOA Exam FM Sample Question #302AnnuitiesVerified
  76. SOA Exam FM Sample Question #309AnnuitiesVerified
  77. SOA Exam FM Sample Question #310AnnuitiesVerified
  78. SOA Exam FM Sample Question #313AnnuitiesVerified
  79. SOA Exam FM Sample Question #316AnnuitiesVerified
  80. SOA Exam FM Sample Question #322Accumulation Followed by a PerpetuityVerified
  81. SOA Exam FM Sample Question #327Rate Conversion in an AnnuityVerified
  82. SOA Exam FM Sample Question #328Lease versus Purchase EquivalenceVerified
  83. SOA Exam FM Sample Question #332Supplemental Savings DepositsVerified
  84. SOA Exam FM Sample Question #334Accumulation into an Annuity-DueVerified
  85. SOA Exam FM Sample Question #336Reinvestment of Interest Cash FlowsVerified
  86. SOA Exam FM Sample Question #341Growing Perpetuity-Due under a Force of InterestVerified
  87. SOA Exam FM Sample Question #342Equation of Value under a Constant ForceVerified
  88. SOA Exam FM Sample Question #348Equivalent Growing AnnuitiesVerified
  89. SOA Exam FM Sample Question #355Arithmetic-Increasing Perpetuity-DueVerified
  90. SOA Exam FM Sample Question #357Equivalent Quarterly and Sparse Annual AnnuitiesVerified
  91. SOA Exam FM Sample Question #359Arithmetic-Increasing Perpetuity with Multi-Year SpacingVerified
  92. SOA Exam FM Sample Question #360Monthly Perpetuity with Annual Step GrowthVerified
  93. SOA Exam FM Sample Question #361Monthly Contributions Funding an Annual PerpetuityVerified
  94. SOA Exam FM Sample Question #362Reinvestment of Withdrawn Fund InterestVerified
  95. SOA Exam FM Sample Question #363Terminal Value with Separately Reinvested InterestVerified
  96. SOA Exam FM Sample Question #366Deposits Accumulated into a Semiannual PerpetuityVerified
  97. SOA Exam FM Sample Question #367Monthly Savings Converted to an Annual AnnuityVerified
  98. SOA Exam FM Sample Question #386Annuities and PerpetuitiesVerified
  99. SOA Exam FM Sample Question #392Annuities and PerpetuitiesVerified
  100. SOA Exam FM Sample Question #393Annuities and PerpetuitiesVerified
  101. SOA Exam FM Sample Question #395Annuities and PerpetuitiesVerified
  102. SOA Exam FM Sample Question #396Annuities and PerpetuitiesVerified
  103. SOA Exam FM Sample Question #397Annuities and PerpetuitiesVerified
  104. SOA Exam FM Sample Question #398Annuities and PerpetuitiesVerified
  105. SOA Exam FM Sample Question #403Annuities and PerpetuitiesVerified
  106. SOA Exam FM Sample Question #420Stepped and Level PerpetuitiesVerified
  107. SOA Exam FM Sample Question #424Geometric PerpetuitiesVerified
  108. SOA Exam FM Sample Question #428Perpetuities with Different FrequenciesVerified
  109. SOA Exam FM Sample Question #436Arithmetic Increasing PerpetuityVerified
  110. SOA Exam FM Sample Question #441Perpetuity Payment FrequencyVerified
  111. SOA Exam FM Sample Question #443Geometrically Increasing DepositsVerified
  112. SOA Exam FM Sample Question #446Arithmetic Annuity-DueVerified
  113. SOA Exam FM Sample Question #451Two-Phase Deposit AccumulationVerified

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Techniques that keep appearing in Annuities and Non-contingent Cash Flows

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