An eight-week study plan for SOA Exam FM

What eight weeks buys, and what it does not

Eight weeks at ten hours a week is comfortably enough for Exam FM if you are competent with algebra and willing to be systematic. FM asks for almost no calculus. What it asks for relentlessly is bookkeeping: knowing where a payment falls on a time line, discounting it to the right date, and not losing a period along the way.

That makes FM the exam where a plan pays the largest dividend, because almost nothing on it is conceptually hard and almost everything on it is easy to get slightly wrong. Candidates who fail rarely fail because a topic defeated them; they fail because a dozen small slips accumulated across three hours.

The plan below front-loads the rate conversions, spends the middle four weeks building annuities from one anchor, and reserves the last week entirely for pace. Nothing new is learned in week eight.

Weeks 1-2: the conversions everything sits on

Effective interest, effective discount, nominal rates compounded m times a year, and the force of interest. These four are the vocabulary of the entire syllabus, and every later formula is written in them. At 6 percent effective, v is 0.943396, d is 0.056604 and the force of interest is 0.058269 - three numbers describing one rate, and you should be able to move between them without pausing.

The other essential in these two weeks is the equation of value. Every FM problem is one: put the cash flows on a time line, pick a comparison date, discount everything to it, and set the two sides equal. Candidates who make that their default move never get lost, because the method does not care what the question is about.

Finish the fortnight able to convert a nominal rate of 6 percent compounded monthly into its effective annual equivalent of 6.167781 percent without hesitating, and able to state why the answer is larger rather than smaller.

Weeks 3-4: annuities, one variation at a time

Annuity-immediate first, and learn it as an object rather than a formula. At 6 percent over ten years the annuity-immediate factor is 7.360087 and the annuity-due factor is 7.801692 - exactly the first multiplied by 1.06, because the due version is the same payments received one period earlier. That single relationship makes half the variations obvious.

Then work outward: deferred annuities, perpetuities, annuities payable more frequently than interest converts, continuous annuities, increasing and decreasing annuities, and geometric annuities. Add one variation per session and immediately do ten questions on it before moving on. A variation you have read about and not used is not learned.

The accumulated value factor belongs here too. At 6 percent over ten years it is 13.180795, and the check that it equals the present value factor times 1.06 to the tenth power is worth doing once by hand so that the relationship stops being two separate formulas.

Weeks 5-6: loans and bonds, where the marks are

Loans and bonds together account for a large share of the paper, and they are the same computation in different clothing: a level stream plus a lump sum, valued at a rate. Learn the loan payment, the prospective and retrospective balance, and the split of a payment into interest and principal. Then learn the bond price, book value, and the amortisation of premium or discount.

The skill that pays here is recognising which of the two forms a question is in before reaching for a formula. A question about the outstanding balance on a loan after eight payments and a question about the book value of a bond after eight coupons are answered the same way, by valuing what remains.

Spend one session on the calculator specifically. The time-value keys, the cash-flow register and the amortisation worksheet each save minutes, and each has a setting that silently persists between problems. Learn where the reset is.

Week 7: the term structure, duration and immunisation

Spot rates, forward rates, duration, convexity and immunisation are the last block, and they are the part of the syllabus most often left half-learned. They do not require new machinery - everything is still present values - but they do require comfort with the idea that different cash flows can be discounted at different rates.

Duration is the concept worth the most attention. Understanding that Macaulay duration is a present-value-weighted average of payment times, and that modified duration is that average divided by one plus the rate, turns a family of formulas into one idea with variations. Convexity is then simply the second moment of the same weights.

Week 8: pace, not learning

The final week is timing. Thirty-five questions in three hours is a little over five minutes each, and the arithmetic of that is unforgiving: two questions you refuse to abandon can cost you four you would have answered correctly.

Do timed sets and practise skipping. The skill being trained is recognising within ninety seconds that a question is not going to fall, marking it, and moving on without resentment. Nothing new should be learned this week; if a topic is still weak, accept it and protect the topics that are strong.

• Check the current syllabus and exam structure on the Society of Actuaries' own site before you book, rather than relying on any secondary source, including this one.
• Register once the plan is real. A deadline is a commitment device only when there is something behind it.
• Sit the practice sets at the time of day your exam is scheduled for, so the pace you rehearse is the pace you will need.

Where a supplement fits

This site is a supplement, not a replacement. The formula reference and the drills are built for weeks one to six, where the work is recall and pattern recognition. For the last stretch, when the question becomes whether you are ready rather than whether you know a formula, keep a full study package with a calibrated question bank. Pretending otherwise would not survive contact with your results.

Buying both is not redundant. Buying a full seminar for week one, or trusting a drill bank to tell you when to sit, both are.