Explorations

Compound Interest - Period | Continuous Compounding of Interest | Effective Rate of Interest | Sinking Fund

Instructions

Shown on this page are youtube videos using a digital pen on virtual paper assisted by a HP Prime calculator emulator. The content found here extends the content found in our eBook or print copy of HP Prime Guide Algebra Fundamentals.

Click on play and the full screen option in the Embedded youtube video or click on the direct link to go directly to the youtube site to play the video.

Embedded youtube video displays a dialog window when we hit pause. Do not hit the “X’ to close the dialog window, just press the play icon or space bar to resume play as it closes the dialog window and resumes play.

Remark: Onenote Ink math assistant requires a 365 subscription. There is the personal 365 subscription, academic 365 subscription with Class Notebooks for administrators, teachers, and students plus organizational versions of 365 subscriptions that include Onenote Ink math assistant. The videos were made using the academic 365 subscription. You will need a 365 subscription to duplicate the Onenote Ink math assistant parts, however there are free versions of Onenote for all platforms that include Ink but not the Ink math assistant. There is an Online Onenote broswer version available with the Onenote Ink math assistant for some subscription packages.

Compound Interest Period

The following video describes how to use the simple interest formula. We add the simple interest, compound interest, loan, and ira functions to our HP Prime. Go to 1:43 if you have functions already installed.

The video compares the periods of annual, semiannual, quarterly, monthly, and daily for two different compound problems. We explore using the Math features of the HP Prime.

Embedded YouTube video file or direct link

HP Prime Onenote Compound Interest Period or direct link

If you have access to Microsoft Onenote use it to further explore. Microsoft is in the process of adding equation editor to 365 subscription of Onenote for Windows 10. They recommend you use equation editor in Word and copy and paste into Onenote for Windows 10. That is what we did to got the formulas.

Continuous Compounding of Interest

Video shows us using the continuous interest formula to solve problems. It shows how the math term e came about
Add function contint(a,p,r,t):=ROUND(solve(a=p*(e^(r*t)),x),2) to your HP Prime.
We add the simple interest, compound interest, loan, and ira functions to our HP Prime. Go to 1:42 if you have functions already installed.

The video develops the number e and compares the periods of annual, semiannual, quarterly, monthly, daily, and continuous for a compound interest problems. We explore using the Math features of the HP Prime.

Embedded YouTube video file or direct link

HP Prime Onenote Continuous Compounding of Interest or direct link

If you have access to Microsoft Onenote use it to further explore. Microsoft is in the process of adding equation editor to 365 subscription of Onenote for Windows 10. They recommend you use equation editor in Word and copy and paste into Onenote for Windows 10. That is what we did to got the formulas.

Effective Rate of Interest

Video shows us using the effective rate of interest formula to solve problems. We add rateeff(f,r,m):=ROUND(solve(f=(1+r/m)^m-1,x),6) to your HP Prime.
We add the simple interest, compound interest, loan, and ira functions to our HP Prime. Go to 1:42 if you have functions already installed.

The video uses the effective rate of interest to calculate the Future Value of money. We explore using the Math features of the HP Prime.

Embedded YouTube video file or direct link

HP Prime Onenote Effective Rate of Interest or direct link

If you have access to Microsoft Onenote use it to further explore. Microsoft is in the process of adding equation editor to 365 subscription of Onenote for Windows 10. They recommend you use equation editor in Word and copy and paste into Onenote for Windows 10. That is what we did to got the formulas. The comma in last equation should be a decimal point.

Sinking Fund

The following video shows us calculating installment for sinking fund and a sinking fund schedule.. We add the simple interest, compound interest, loan, and ira functions to our HP Prime. Go to 1:43 if you have functions already installed.

We are unable to use the Math features of the HP Prime because the function is too complex.

Embedded YouTube video file or direct link

HP Prime Onenote Sinking Fund or direct link

If you have access to Microsoft Onenote use it to further explore. Microsoft is in the process of adding equation editor to 365 subscription of Onenote for Windows 10. They recommend you use equation editor in Word and copy and paste into Onenote for Windows 10. That is what we did to got the formulas.

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