Question
Use the ordinary annuity formula shown to the right to determine the accumulated amount in
the annulty if
is invested semlannually for 25 years at
compounded semiannually.
the annulty if
Ask by Mccoy Valdez. in the United States
Nov 22,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The accumulated amount is approximately $-0.958336.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Extra Insights
To calculate the accumulated amount in the annuity using the formula provided, denote the variables as follows:
-
: accumulated amount -
: periodic payment ($50) -
: annual interest rate (3.5% or 0.035) -
: number of compounding periods per year (2 for semiannual) -
: number of years (25)
Plugging in values, we get:
First, calculate
:
Then for
:
Now substitute back into the formula:
Calculate
:
This results in approximately
Now the formula looks like:
Finally, compute this value to find the accumulated amount which will be approximately
.
Once calculated, you’ll find the final accumulated amount after 25 years is about $33.55 when you use the appropriate rounding and calculation steps.
For a more accurate interpretation, performing these calculations using a financial calculator can also confirm these results!