Revision as of 13:47, 19 November 2023 by Admin (Created page with "A debt is amortized with 120 level payments at the end of each month based on an annual effective interest rate of 8%. The amount of principal in the sixth payment is 600. Calculate the amount of principal in the 24th payment. <ul class="mw-excansopts"><li>532</li><li>673</li><li>700</li><li>704</li><li>784</li></ul> {{soacopyright | 2023 }}")
ABy Admin
Nov 19'23
Exercise
A debt is amortized with 120 level payments at the end of each month based on an annual effective interest rate of 8%. The amount of principal in the sixth payment is 600.
Calculate the amount of principal in the 24th payment.
- 532
- 673
- 700
- 704
- 784
Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.
ABy Admin
Nov 19'23
Solution: B
[[math]]
\begin{aligned} & \frac{i^{(12)}}{12}=1.08^{1 / 12}-1=0.006434 \\ & 600=P(1 / 1.006434)^{120-6+1} \\ & P=1254.47 \\ & P_{24}=1254.47 v^{120-24+1}=673.42\end{aligned}
[[/math]]
Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.