Soa exam fm qa Study guides, Class notes & Summaries
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SOA Exam FM Q&A
- Exam (elaborations) • 5 pages • 2023
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Value of $1.00 in a fund at a given time 
Given by accumulation function a(t) 
Note that a(0) = 1 
Amount function: A_k(t) = k * a(t); represents value of investment of k dollars - Answer- Accumulated Value, Accumulation Function, Amount Function 
 
i_t = [A(t) - A(t - 1)]/A(t - 1) 
Note that A(t) = (1 + i_t)A(t - 1) and 
A(t) = k prod_{n = 1}^t (1 + i_n) - Answer- Effective Rate of Interest 
 
A(t) = k(1 + it) 
i_t = i/[1 + i(t - 1)] - Answer- Simple interest 
 
A(t) = k(1 + i)^t 
i_t = i - Ans...
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