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Boundless Lecture Slides Free to share, print, make copies and changes. Get yours at Available on the Boundless Teaching Platform

Using Boundless Presentations The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. Free to share, print, make copies and changes. Get yours at Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: If you have any questions or problems please

Boundless is an innovative technology company making education more affordable and accessible for students everywhere. The company creates the world’s best open educational content in 20+ subjects that align to more than 1,000 popular college textbooks. Boundless integrates learning technology into all its premium books to help students study more efficiently at a fraction of the cost of traditional textbooks. The company also empowers educators to engage their students more effectively through customizable books and intuitive teaching tools as part of the Boundless Teaching Platform. More than 2 million learners access Boundless free and premium content each month across the company’s wide distribution platforms, including its website, iOS apps, Kindle books, and iBooks. To get started learning or teaching with Boundless, visit boundless.com.boundless.com Free to share, print, make copies and changes. Get yours at About Boundless

Calculating the Yield of a Single-Period Investment Calculating the Yield of an Annuity Yield The Time Value of Money > Yield Free to share, print, make copies and changes. Get yours at ect&utm_source=boundless

There are a number of ways to calculate yield, but the most common ones are to calculate the percent change from the initial investment, APR, and APY (or EAR). APR (annual percentage rate) is a commonly used calculation that figures out the nominal amount of interest accrued per year. It does not account for compounding interest. APY (annual percentage yield) is a way of using the nominal interest rate to calculate the effective interest rate per year. It accounts for compounding interest. EAR (effective annual rate) is a special type of APY that uses APR as the nominal interest rate. Calculating the Yield of a Single-Period Investment Free to share, print, make copies and changes. Get yours at investment ?campaign_content=book_192_section_60&campaign_term=Finance&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess Percent Change View on Boundless.com The Time Value of Money > Yield

The yield of an annuity may be found by discounting to find the PV, and then finding the percentage change from the PV to the FV. The Internal Rate of Return (IRR) is the discount rate at which the NPV of an investment equals 0. The IRR calculates an annualized yield of an annuity. Calculating the Yield of an Annuity Free to share, print, make copies and changes. Get yours at ?campaign_content=book_192_section_60&campaign_term=Finance&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess IRR Example View on Boundless.com The Time Value of Money > Yield

Free to share, print, make copies and changes. Get yours at Appendix

Key terms Effective Interest The amount of interest accrued per year after accounting for compounding. effective-interest method amortizing a debt according to the effective interest rate paid Internal Rate of Return (IRR) The discount rate that will cause the NPV of an investment to equal 0. Net Present Value (NPV) The present value of a project or an investment decision determined by summing the discounted incoming and outgoing future cash flows resulting from the decision. Nominal Interest The amount of interest accrued per year without accounting for compounding. yield In finance, the term yield describes the amount in cash that returns to the owners of a security. Normally it does not include the price variations, at the difference of the total return. Yield applies to various stated rates of return on stocks (common and preferred, and convertible), fixed income instruments (bonds, notes, bills, strips, zero coupon), and some other investment type insurance products Free to share, print, make copies and changes. Get yours at The Time Value of Money

Annual Percentage Yield The Annual Percentage Yield is a way or normalizing the nominal interest rate. Basically, it is a way to account for the time factor in order to get a more accurate number for the actual interest rate.inom is the nominal interest rate.N is the number of compounding periods per year. Free to share, print, make copies and changes. Get yours at Wikipedia. "Annual percentage yield." GNU FDL View on Boundless.comGNU FDLhttp://en.wikipedia.org/wiki/Annual_percentage_yieldView on Boundless.com The Time Value of Money

EAR The Effective Annual Rate is the amount of interest actually accrued per year based on the APR. n is the number of compounding periods of APR per year. Free to share, print, make copies and changes. Get yours at Wikipedia. "Effective APR." GNU FDL View on Boundless.comGNU FDLhttp://en.wikipedia.org/wiki/Effective_APRView on Boundless.com The Time Value of Money

Percent Change The percent change in value is the change in value from PV to FV (V2 to V1) divided by PV (V1) times 100%. Free to share, print, make copies and changes. Get yours at Wikipedia. "Percentage change." GNU FDL View on Boundless.comGNU FDLhttp://en.wikipedia.org/wiki/Percentage_changeView on Boundless.com The Time Value of Money

IRR Example The setup to find the IRR of the investment with cash flows of -4000, 1200, 1410, 1875, and By setting NPV = 0 and solving for r, you can find the IRR of this investment. Free to share, print, make copies and changes. Get yours at Wikipedia. "Internal rate of return." GNU FDL View on Boundless.comGNU FDLhttp://en.wikipedia.org/wiki/Internal_rate_of_returnView on Boundless.com The Time Value of Money

Free to share, print, make copies and changes. Get yours at The Time Value of Money Which of the following correctly defines a method of determining a single period investment's yield? A) Change-in-value equals the investment's FV minus its PV. Divide that by PV and multiply by 100%. B) The Effective Annual rate is the interest rate multiplied by the number of payment periods per year. C) Annual Percentage Rate = (1+(i/N))^N - 1. D) All of these answers.

Free to share, print, make copies and changes. Get yours at Boundless - LO. "Boundless." CC BY-SA BY-SA 3.0http:// The Time Value of Money Which of the following correctly defines a method of determining a single period investment's yield? A) Change-in-value equals the investment's FV minus its PV. Divide that by PV and multiply by 100%. B) The Effective Annual rate is the interest rate multiplied by the number of payment periods per year. C) Annual Percentage Rate = (1+(i/N))^N - 1. D) All of these answers.

Free to share, print, make copies and changes. Get yours at The Time Value of Money You purchase a two year annuity for $2800. The annuity pays $1500 each year. What is the annuity's approximate IRR? A) 8.6% B) 2.3% C) 4.5% D) 10%

Free to share, print, make copies and changes. Get yours at Boundless - LO. "Boundless." CC BY-SA BY-SA 3.0http:// The Time Value of Money You purchase a two year annuity for $2800. The annuity pays $1500 each year. What is the annuity's approximate IRR? A) 8.6% B) 2.3% C) 4.5% D) 10%

Attribution Wikipedia. "Internal rate of return." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Internal_rate_of_return Wikipedia. "Annual percentage rate." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Annual_percentage_rate Boundless Learning. "Boundless." CC BY-SA BY-SA 3.0http:// Boundless Learning. "Boundless." CC BY-SA BY-SA 3.0http:// Boundless Learning. "Boundless." CC BY-SA BY-SA 3.0http:// Wikipedia. "Annual percentage yield." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Annual_percentage_yield Wikipedia. "Yield (finance)." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Yield_(finance) Wikipedia. "Annuity (finance theory)." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Annuity_(finance_theory) Wikipedia. "Annuity (finance theory)." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Annuity_(finance_theory) Wikipedia. "Internal rate of return." CC BY-SA BY-SA 3.0http://en.wikipedia.org/wiki/Internal_rate_of_return Wiktionary. "yield." CC BY-SA BY-SA 3.0http://en.wiktionary.org/wiki/yield Boundless Learning. "Boundless." CC BY-SA BY-SA 3.0http:// Boundless Learning. "Boundless." CC BY-SA BY-SA 3.0http:// Free to share, print, make copies and changes. Get yours at The Time Value of Money