Question 1185410
you can use a financial calculator to solve this.


your inputs are shown below.


<img src = "http://theo.x10hosting.com/2021/100101.jpg" >


your output is shown below.


<img src = "http://theo.x10hosting.com/2021/100102.jpg" >


you can also solve this by formula.


the formula is:


a = (f*r)/((1+r)^n-1)

a is the annuity.
f is the future amount.
r is the interest rate per time period.
n is the number of time periods.


for your problem.


f = 200,000 (without the comma.
r is the interest rate per time period = .05/2 = .025 per semi-annual time period.
n is the number of time periods = 12 * 2 = 24 semi-annual time periods.


a = (f*r)/((1+r)^n-1) becomes:


a = (200000*.025)/((1+.025)^24-1) = 6182.564072.


this is the same as what the calculator tells you when rounded to 2 decimal places.


the calculator says the payment at the end of each semi-annual period is equal to 6182.56.

https://arachnoid.com/finance/index.html
the calculator can be found at <a href = "" target = "_blank">https://arachnoid.com/finance/index.html</a>