Worked solution · Exam FM
This Exam FM sample reference tests Supplemental Savings Deposits. Accumulate the five base deposits and the two supplements to the end of year 5, then grow that total five more years. Solving the target equation gives X = 5958.19, choice C.
Independent solution
Setup
The five beginning-year deposits accumulate to time 5 as an annuity-due accumulated value. The two supplements at the beginnings of years 4 and 5 form a two-payment accumulated annuity-due.
Model
Grow the time-5 balance to the time-10 goal.
Compute
The time-5 coefficients are 88703.01 for base deposits and 2.2464 for X.
Answer
Each supplemental deposit is about 5958, choice C.
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30 original Exam FM questions across the syllabus, to be worked in 150 timed minutes, with a full worked solution for each one. Written for Exam FM, not copied from the SOA set. One-time $39 PDF.
Error diagnosis
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Original practice · fully worked
A saver deposits 8,000 at the beginning of each of four years. At the beginning of years 3 and 4, the saver adds an extra 2,000. The account earns 7% effective annually. Determine the balance at the end of year 8.
At time 4 the four base deposits and two supplements total their accumulated due values. Four more years of growth produce 55624.56, choice D.
Setup
Accumulate the four base deposits and the final two supplemental deposits to time 4.
Model
Move the time-4 balance to time 8.
Compute
Evaluate both components on the same timeline.
Answer
The end-of-year-8 balance is 55624.56, choice D.
Keep practicing
These references share syllabus concepts or sit nearby in the official sequence. All 113 Exam FM annuities and non-contingent cash flows practice problems.
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