Revision as of 19:43, 18 November 2023 by Admin (Created page with "'''Solution: B''' Let j equal the quarterly rate and let k equal the four-year rate: <math display = "block"> \begin{aligned} & 300=\frac{1}{j}(1+j) \\ & j=\frac{1}{299} \\ & \left(1+\frac{1}{299}\right)^4=(1+k)^{\frac{1}{4}} \\ & k=0.054875 \\ & 300=\frac{X(1+k)}{k} \\ & X=15.61\end{aligned} </math> {{soacopyright | 2023 }}")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Exercise


ABy Admin
Nov 18'23

Answer

Solution: B

Let j equal the quarterly rate and let k equal the four-year rate:

[[math]] \begin{aligned} & 300=\frac{1}{j}(1+j) \\ & j=\frac{1}{299} \\ & \left(1+\frac{1}{299}\right)^4=(1+k)^{\frac{1}{4}} \\ & k=0.054875 \\ & 300=\frac{X(1+k)}{k} \\ & X=15.61\end{aligned} [[/math]]

Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.

00