ba ii plus continuous compounding

by · 17 maig, 2023

Bond yield calculationhttps://youtu.be/GvSbA9nx23oHappy LearningPravin KhetanInsta: @pkkhetanFaceBook: https://www.facebook.com/iplaneducation/Twitter: https://twitter.com/pravinkhetanVisit us at: www.iplaneducation.com=========================================================iPlan Education is providing stock market course since 2010. N = 2 4 = 8 periods. Sal said that it was years but in the first case the period is 3 months not 1 year. R, right over here, is just a constant. 1. Picture in your head a rectangle. We're going to borrow it for 3 years. your Ts, your Ns and your R and you could put it here and that's essentially how much you're going to have to pay back. The calculator assumes each problem has a cash outflow (entered as a negative) and a cash inflow (entered as a positive). These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising. I'm going to define a variable. over 3 years, 10% interest, but you're not compounding How to use the Texas Instrument BA II plus (TI BA II+) to compute present and future values under different compound frequencies, including continuous. Example 3: Continuous Compounding Given the Beginning and Ending Values. This formula for finding the future value of an initial investment that is continuously compounded can be manipulated to yield the following formula that we can use for calculating the effective interest rate: Where r is your stated interest rate. I dont remember how, look in the manual to practice. Click Agree and Proceed to accept cookies and enter the site. reasonably intuitive for you. After adding 1 to this expression, we raise it to 4 1, representing 4 for n and 1 for t, the number of years. How much should you pay if interest is charged at 8% compounded quarterly? . in finance and banking and, as you can imagine, Eventually, there will be no or very little change in the interest rate as we increase the number of times compounding occurs. 7) Input 10,000, then press [+|-] [PV]. One adjustment is important. Texas Instruments BA II Plus (TI BA II+) - Free download as PDF File (.pdf), Text File (.txt) or read online for free. 0000006171 00000 n For you will still get the correct answer. . We're going to compound 4 times a year, or every 3 months. The limit as, let's say, In order to submit a comment to this post, please copy this code and paste it along with your comment: 4ea202fb09a9e1194ec521116b85bc14_40b. There's 4 periods and you would raise it to the 4th power if it was only a year, but this is 3 years. Time-value-of-money function. The BA II Plus does not require the values be entered in any particular order. Copyright 1995-2023 Texas Instruments Incorporated. Future Contract Price Calculationhttps://youtu.be/dtjF_WLtynw3. Will I survive without understanding this? Of course, loans that have a fixed payment schedule, like mortgages, normally won't compound continuously, but instead every payment period (month normally). Feature highlights. You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories. You're going to do this 4 Future Contract Price with dividend yieldhttps://youtu.be/ZSGJnbl96cE4. Rapidly calculating exponents on the BA II plus will save you extra time when taking the CFA exam and other financial exams. The answer would be negative on the calculator, but this will be mentioned only if confusion may arise from the answer. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site). In which 0.10 is your 10% rate, and /4 divides it across the 4 three-month periods. 0000005547 00000 n Using the video's example, the rate is divided by 4 because it's a yearly rate spread over 4 periods within the year, 3 months each period. There are also a few options for how you can calculate these values on your calculator. Several YEARS). 0 steps in the process here, but hopefully this seems endstream endobj 58 0 obj <> endobj 59 0 obj <> endobj 60 0 obj <>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 61 0 obj <> endobj 62 0 obj <> endobj 63 0 obj <> endobj 64 0 obj <> endobj 65 0 obj <> endobj 66 0 obj <>stream We've trained over 10000+ students from 30+ countries and have been awarded \"Best Financial Services Institute\" by 8 organizations. (Think of the x as a superscript; I cant do an actual superscript in my post here.). 6) Input 8, then press [I/Y]. Direct link to Doug's post I want to know why the ra, Posted 9 years ago. The 2nd button is at the top left of your calculator and the CLR Work button is located at the bottom left of your calculator. Copyright 1995-2023 Texas Instruments Incorporated. Let's think about what that would mean. All of this business is You will see the answer, $5,849.29, which was obtained earlier in the chapter by an account and by the formula. Scribd is the world's largest social reading and publishing site. It disappeared at, At, 2 minutes it says that the fraction inside the () is 0.10 / n but it is over 3 years so would't it be n * 3 (years). What are the Best Stock Market Books for New Investors? These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences). Hit 10 then hit the yx button, followed by 2 and the equal sign. We may also share this information with third parties for these purposes. This is exciting. Designed for business professionals and students, this easy-to-use financial calculator delivers powerful computation functions and memory. So, the change as you go to a higher frequency tails off. For a better experience, please enable JavaScript in your browser before proceeding. How this is done is illustrated in the next example, which uses some previous problems. xref Where do we use this in real life? I'll do this a close parentheses, Financial Calculators should have built-in compound-interest functions. Did you know that Amazon is offering 6 months of Amazon Prime - free two-day shipping, free movies, and other benefits - to students? the reciprocal of R over N, so that I can get a 1 Business and Finance Math #4: Continuous Compounding on the TI BA II Plus & HP 12c; Factoring Polynomials on the TI-89 and . Direct link to melanie's post If you are the lender, it, Posted 4 years ago. It is possible to do almost all of the course calculations to the same accuracy without these functions, but the process is much faster if they are available. For a better experience, please enable JavaScript in your browser before proceeding. I want to know why the rate is divided by time (r/n)? We can say that our principal is $50. 10%. compound by 1 plus this R. I'll write that as a decimal. If $100,000 grows to $105,000 in one year, whats the continuously compounded rate? Your email address will not be published. Each time, each period, each of these 3 x 4 periods. (By default, C/Y is set as the same as P/Y). In Business and Finance Math #2: Calculating the Effective Annual Rate (EAR) on Your TI BA II Plus or HP 12c, we covered the basic concept and method for calculating EAR mathematically and used it to solve the problem of which of the following interest rates was better: 8% compounded daily 8.25% compounded quarterly 8.4% compounded annually You should see the effective rate of 8.3287% on the calculators screen. 3) Press the [down arrow] key, input 1,000,000,000, then press [ENTER]. After one year with quarterly compounding, $100 invested at 8% will grow to be$108.24. why continuously compounding interest is useful? 2) Press [2nd] [P/Y], input 1, then press [ENTER]. Present Value of a Lump Sum You need to have $50,000 in ten years to go on an around the world cruise. You may find Excel's Solver useful." Just checking if my approach to solving this using a BA II Plus (since excel is not permitted on FRM) is correct. since it's the same color. All rights reserved. FRM Part I. FRM Part II . Let's rewrite this as the Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. How much do you need to deposit today if you can earn 9.75%? it to the nth power, if this was only over a year. trailer In this article, you will learn how to: Set up the TI BAII Plus calculator Store and retrieve results Do combination and permutation calculations Calculate the time value of money Solve LN and e 77 0 obj <>stream (Since PV was made positive, it must make FV negative.). Input "1", "", "3". If somebody could explain how that is derived? This is because the calculator performs an equation of value in the form of: [latex]\text{Value of Inflows}+\text{Value of Outflows}=0[/latex], Hence it must make either inflows or outflows negative. I'm going to define a variable X. I'm going to say that X is Notice: It seems you have Javascript disabled in your Browser. TI websites use cookies to optimize site functionality and improve your experience. These notes are for you only (they will not be stored anywhere), Make sure to download them at the end to use as a reference. The general formula we are going to use for determining the effective annual rate is as follows: This formula calculates the size of an investments after a certain number of years t for a given interest rate represented by r. We can modify this equation to account for multiple compoundings in a given year: Here, we divide the interest rate r by n, which represents the number of compoundings per year. approaches infinite of 1 plus. These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach. actually try to evaluate this thing right over here. BAII Plus Tutorial Part II. When you need to calculate 10, you have two options. Apply for the BA II Plus Professional calculator and emulator. You could pick your P, If you're seeing this message, it means we're having trouble loading external resources on our website. Chapter 1: Business Applications of Basic Mathematics, Creative Commons Attribution-NonCommercial 4.0 International License. I got 107,250.8181, so not really that rough at all. Powered by Discourse, best viewed with JavaScript enabled, Using TI BII plus for continuous compounding. The functions you will use in this chapter are controlled by the following keys: In the same row is the PMT key which you will use in the next chapter. You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories. iOS is a trademark of Apple Inc., registered in the U.S. and other countries. Thank you. We may also share this information with third parties for these purposes. 0000002849 00000 n Find the future value of a loan of $12,000 for 16 months at 15% compounded monthly. What is the value of $10 at the end of three years, if we assume . HWn8}Wj3"u_,HIoEcMGx~Vdrw4%XsN0pz$lb? q G|_|~a?#0SE)0n`iZmcz/%etrfh{:{>ca=> f#>{z^ Z@ier:pv:dl|01`ldz7h5PjM;\MPeG3!q2LR$G33[3&DxR,-$EU2} r,c`0wrI6tu^UZ3f y4.I> @% ;3Wh 9;%WWn^dfQ\ A13aph:\>D]Q$&>We Let's write it out. r _| 57 0 obj <> endobj = $1,052. looking to borrow $50. x 3, to the 4 x 3 power. 0000001222 00000 n GARP and FRM are trademarks owned by Global Association of Risk Professionals, Inc. 0000006012 00000 n Each of them you're going to As can be observed from the above example, the interest earned from continuous compounding is $83.28, which is only $0.28 more than monthly compounding. In doing this, you should write down the values entered into the TVM: How much must be invested at 11% quarterly to get $9,500 in two years? to pay back in 3 years? Learn about the math and science behind what students are into, from art to fashion and more. You can actually come up Download Item. You're going to be growing it by 2 1/2% and you're going to do this 12 times, because there's 12 periods. If $150,000 is invested at 12% compounded monthly and results in a future value of $169,023.75, for how long must it have been invested? Finding the Interest Rate You invested $10,000 five years ago. Multiply 7% with 5 i.e .07*5= .35 2. The yx button is near the top and right part of your calculator. Then you type 1 for year, then 2nd N, and it will also do 1,000,000 periods. Here is what happens to the effective interest rate as we keep increasing the number of times compounding occurs each year: Mathematically, we can express larger and larger values for n (the number of compoundings) as a limit: As n grows larger and larger, this limit turns out to be: e is a mathematical constant (also called Eulers Number) which also appears in many other areas of mathematics and science, and is approximately equal to 2.71828. Learn how BCcampus supports open education and how you can access Pressbooks. I need to get a TI calculator just to answer questions like this one. 4) Press [2nd] [QUIT] to return to the home screen. as N approaches infinity, what is this conceptually? To do this, we keep increasing the number of compoundings towards positive infinity (a higher and higher number of compoundings). Input 10 then hit the x button. These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. N approaches infinity, if we took the limit of this If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. If you were to borrow $50, They also use it for many loans which they give out, most notably credit card loans. We could rewrite this Alternatively, you could solve the algebra problem: [latex]$8,000(1+\frac{j_m}{4})^3=$8,998.91[/latex], [latex]j_m=4\left(\sqrt[3]{(\frac{FV}{PV})-1)}\right)=4\left(( \frac{FV}{PV})^{1/3}-1\right)[/latex]. Since we're going to The key is regularly practice with your calculator in conjunction with your CFA study material. I encourage you, if you want, you could pause the video and you can use your calculator to actually calculate what that is. Let's write an expression. Required fields are marked *. to just compound per year. an infinite times per year. How to use the Texas Instrument BA II plus (TI BA II+) to compute present and future values under different compound frequencies, including continuous compounding. Going from semiannual to quarterly makes a smaller difference - from 10.25% to 10.38%. It may not display this or other websites correctly. = 1,000 * 1.08328. If you are the lender, it's very useful because you earn more interest! An investor purchases a stock for $1000 and sells it for $1080 after a period of one year. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. The limit of constant This article highlights a simple way to do exponent calculations on the CFA exam and walks you through a few basic settings to prevent any errors you might get. X approaches infinite, then N is going to go to infinite as well. Set Number of compounding periods per year. Direct link to Euler's post Good answer.but more s, Posted 7 years ago. To illustrate the use of the financial calculator, suppose you want to obtain the future value of a $5,000 loan at 8% compounded semi-annually for two years. Let me write this. big) times the limit. Version. Now press 2nd (the yellow key) and LN key. Direct link to Boston Abrams's post At, 2 minutes it says tha, Posted 9 years ago. For example: A customer invests $10,000 in a CD for 2 years with an 8% interest rate that compounds continously. give us crazy things, that we can actually use this to come up with a formula for continuously compounding interest. Financial Analyst Insider is a participant in the Amazon Services LLC Associates Program. Let me rewrite this. Get hundreds of video lessons that show how to graph parent functions and transformations. I can get it into a form that looks something like this. Future and present value calculationhttps://youtu.be/TTF2gtTNU_A8. What is the value of $10 at the end of one year, if we compound continuously @ 10%? If you do not allow these cookies, some or all of the site features and services may not function properly. This document is designed to provide you with (1) the basics of how your TI BA II Plus financial calculator operates, and (2) the typical keystrokes that will be required on the CFA examination. actually have to pay back. . PMT = payment. a bunch of things, actually many things outside $50, that's your principal. This comes from exponent properties, that you might have learned before. It's going to be 4 Actually, instead of N right over here let me write the 4, so you We could say that's going to be P times the limit as X Use the ) button to close the brackets. You are using an out of date browser. Once you get to about 1,000 periods a year, you etremely close to the continuously compounded value. I don't understand how "n" just disappeared from the last formula and still the result was approximately the same. I understood it like "t" in the last formula was n*t in the first and that the "t" represents the period in which the interest is coming. = $11,052. Direct link to 20Kor's post Using the video's example, Posted 7 years ago. Financial Markets & Products (30%) Replies 2 Views 2K . Direct link to dbgander's post This is the best explanat, Posted 4 years ago. Bond Price calculationhttps://youtu.be/jJ4tgkVUkAU9. 4 periods per year times 3 years. the product of these, I'm taking X x R x T, that's the same thing as doing this whole thing to the X and then raising that to the RT power. Click Agree and Proceed to accept cookies and enter the site. Three ways to calculate continuous compounding interest on the Texas Instruments BA II Plus calculator TI,BA,II,Plus,Calculator,Continuous,compounding,interest,mathematics,tutorial,CFA,educationa Well start with 1,000 to make it easy. Direct link to diogoacabadofm's post Because at 2:27 Sal is ta, Posted 9 years ago. With the calculator functions, any one of the functions N, I/Y, PV, or FV can be found from the others. Get hundreds of video lessons that show how to graph parent functions and transformations. If I raise something to If you do not allow these cookies, some or all of the site features and services may not function properly. You're going to multiply that, so you could compound it. Sometimes when reviewing time value of money (TVM) problems, you may encounter a situation that involves continuous compounding. of finance and banking, exponential growth, etc., etc. This is the same thing. For continuous compounding you need to use the exponential function: e^x. I'm doing a couple of Its always best practice to set it to 0 each and every time! xb```"uN[Ad`BL5D6=```w!#c0CRM FV = future value. This will convert .35% into continous rate of interest) 3. 0000000716 00000 n Which is used heavily Store up to 24 uneven cash flows with up to four-digit frequencies; edit inputs to analyze the impact of changes in variables. Properties of Interest Rates, Function for computing continuously compounded yield on BA II Plus Pro, P1.T3. We could take the constant out. If you refer to the table earlier in this post, you can see that an interest rate of 8% compounded quarterly is equal to about 8.24%. Just let me put some parentheses here. Hit the " (" button (located at the left center of the calculator). 2. We get You would have to pay back $67. compounding interest. Go to P/Y, put in whatever, 1,000,000 periods (I figured thats close enough to continuous). In the example you can see this more-or-less works out: (1 + 0.10/4)^4. Videos: Definitions, Ratios and Proportions, Videos: Payment Plans and Making Choices, Compound, Videos: Equations of Value and Compound Interest, 5.12 Lump Sum Payments and Refinancing Mortgages, Videos: Mortgages and Amortization, part 1, Videos: Mortgages and Amortization, part 2, Appendix A: Learning Curves in the BAII Plus. This document is designed to provide you with (1) the basics of how your TI BA II Plus financial calculator operates, and (2) the typical keystrokes that will be required on the CFA examination. the investment will pay $1,000. The calculator should display $11,735.11, which is the future value of the CD with continuous compounding. If we wanted to write this in a little bit more abstract terms, we could write this as P(1 +). None are affiliated with or endorse TI products. Compute the annual rate of return on the stock on a continuously compounded basis. As you can see, there was very little change in the EAR when we increased the compounding from an hourly basis to compounding by the minute. So far what I did was with the calculator: and then I dont know what to do. The one thing I am going to do to simplify this, is to do a substitution. Lesson 4: Continuous compound interest and e. Learn how to calculate interest when interest is compounded continually. This is equal to P times (let me put some parenthesis here) times (maybe that's too In general, the calculator is a very good option you do not need to use logarithms, and can solve much faster. If we took the limit as Imagine slicing up a rectangle into tiny rectangles. Another example can say a Savings Account pays 6% annual interest, compounded continuously. The difference between the return on investment when using continuous compounding versus annual compounding is $27 . So: 7%, e^x, gives 1.0725082 That's it. From now on, you will normally indicate the procedure for solving problems especially if they are likely to be done with computer functions by listing the available values of the variables and what is required. We also offer CFA and FRM program, we are GARP, USA Auth. Calculate IRR and NPV for cash-flow analysis. 0000001365 00000 n If a bank deposit of $80,000 amounts to $84,934.22 after gaining interest compounded monthly for one year, what was the nominal rate per month? 0000077267 00000 n 2nd and then CLR Work. Have a wonderful day and commuicate very soon again~, I do it a rough way. The question we are going to answer is: What is the effective rate of 8% with continuous compounding? Is there a practical use of continuously compounding interest in real life? Size (KB) BA II PLUS PROFESSIONAL Calculator (English) View: 1,381. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. much you have to pay back. As we see, that this actually doesn't just go unbounded and (Think of the "x" as a superscript; I can't do an actual superscript in my post here.) I'm really just using the property. These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. Direct link to Jess Orellanes's post Will I survive without un, Posted 3 years ago. 5) Input 2, then press [N]. one MONTH); (1+r/n)^n represents doing it for a full cycle ('n' times , ex. Find answers to the top 10 questions parents ask about TI graphing calculators. (You will find the LN key proabably in 6th row 1st column of the calculator (i6thj1st) intersection) (Above the LN key, it will be e^x written if you notice. you will not get your answer using the time value of money worksheet. Interest rate futures: SOFR futures and duration-based hedging, P1.T3.22.29. Financial Markets & Products (30%). Answer: 11.9999973 or 12 months. You borrow $1,000 and agree to repay the loan with a single payment in 2 years. Using TI BII Plus for continuous compunding. Its mannual doesnt explain what inputs I need to put. Leaving some spaces for Annuities, in Chapter 5. JavaScript is disabled. What I've been entering on the BA II plus (Note that CFAI is missing decimals for their examples) PV: -10000 Enter I/Y: 8/4 = 2 Enter N: 8 Enter PMT: 0 Enter (i've tried leaving this out completely) CPT FV = $11730.4312. Both this and other financial calculators have built-in compound-interest functions. BA II PLUS Guidebook Download Item PDF Version Size (KB) BA II PLUS Calculator (English) View: 1,369 Also Available in These Languages . We assumed it was in years. the x button is at the top center of the calculator. 0000003047 00000 n To look at values entered in your calculator, just press [RCL] and then the value you want to check, e.g., [RCL] [N] should show 8. %%EOF Direct link to raunakshergill2000's post so if I'm not wrong- Let's do the same thing here. Jagan Jan 12, 2021 Direct link to Marco Birnkammer's post At 2:27, Sal explains pre, Posted 6 years ago. Contango and backwardation in commodity futures, TI BA II+: How to compute future and present value with different compound frequencies (TIBA2-04), TI BA II+: How to compute bond price or yield when settlement date falls on coupon date (TIBA2-03), TI BA II+ Calculator: Essential Settings (TIBA - 01). It is going to be 50 x E to the Our rate is .1. $67.49 if you were to round. What is this stuff right over here? The whole point of this is Jagan.Ganti; Jan 11, 2021; P1.T3. You could really say, "This would be the case where we're doing continuous compound interest. TI websites use cookies to optimize site functionality and improve your experience. just to use real numbers to see why this actually makes sense. Let's do a concrete example here. BA II PLUS PROFESSIONAL Guidebook. If you ever wish to change the compounding assumption (which I don't recommend), press 2nd I/Y and enter the number of periods per year (12 for monthly, 2 for semiannual, etc). BA II giving incorrect PV/FV answers. In mathematical terms, we can say that the EAR approaches a limit, or maximum value, as we increase the number of times compounding occurs. with an expression for that. Note that the answer appears as a negative value on the calculator. Direct link to braveheart's post Is there a practical use , Posted 8 years ago. the exact same thing. Use the ")" button to close the brackets. Direct link to Tejas's post Banks actually do use thi, Posted 5 years ago. You're going to be continuous compounding. To do the reverse to get the continuously compounded rate you use ln(x) (it might be capitalized: LN(x)). How much would you have BA II giving incorrect PV/FV answers. By default your TI BA II Plus should be set to "end" mode, which means any annuity cash flows occur at the end of each period. To calculate continuous compounding interest using the BA II PLUS family calculator, please refer to the example and follow the steps listed below. Each time you're going R over N is 1 over X. Please Note: Inputting a very large value for the number of compounds per year (C/Y) is an approximation of infinity, resulting in continuous compounding. Increase Decimal points2. This limit right over here. Now lets see how we can solve continuous compounding problems on our financial calculator! The bank qoutes a stated annual interest rate 7 percent. 10% is the same thing as 0.10. 0000001131 00000 n Invest $100 at j2 =6% for 4 years. This is going to be how 0 8 followed by 2nd LN to select e x Next press - 1 and you will have the effective interest rate on your screen The correct answer is approximately 8.3287% Continuous Compounding on the HP 12c Alternatively, we could solve the algebra problem: [latex]$150,000\left(1+\frac{0.12}{12}\right)^n=$169,023.75[/latex], [latex]n=\log_{1.01} \left(\frac{$169,023.75}{$150,000}\right)[/latex]. 0000077444 00000 n I'll write that as N over R. X is equal to N over R, or we could write this as N is equal to X x R. If we make that substitution the limit is N approaches infinite. Since we are solving an annuity due, we need to change the timing of the cash flows. Banks actually do use this for demand deposits. [Math Processing Error] Continuously compounded rate = l n ( 1, 080 1, 000) = 7.7 %. June 27, 2022 Learn the basic functions of your Texas Instruments (TI) BAII Plus calculator that you will need for the CFA exam . You're going to have 4 periods, 3 times. Facebook Instagram Pinterest Twitter. Find the future value of a loan of $12,000 for 16 months at 15% compounded monthly. CFA vs CFP: What does more for your Career? Can anyone please explain how to use the calculator to find continous compunding? If we're to round Posted 9 years ago. Let me copy and paste <<907C881B08424A49861F3D96091B57EF>]>> R over N to the N x T power. Are you a student? Cube roots can be a little bit trickier to do correctly. A similar guide as published by Texas Instruments is available for download from www.ti.com/calc/baiiplus. We're dividing our year into more and more and more chunks, an infinite number of chunks. . 0000001483 00000 n If N goes to infinite, then X is going to go to infinite as well. Think of how the effective annual rate for 10% changes as you go from annual to semi-annual to quarterly to monthly compounding. I'm not being as super rigorous, but it's really to give you an intuition for where the formula we're 0000077666 00000 n one YEAR) ; (1+r/n)^tn represents doing it for several cycles (ex. As soon as interest is earned on an investment, it is immediately compounded. Effective Annual Rate for continuous compounding: where r s = stated annual interest rate. I/Y = rate per period. If you purchase this investment, what is your compound average annual rate of return? limit is X approaches infinite. A,/v+Ygfmj3=(4.c~-Zwl^+F[ (q,3E'{>&4::@R 3a632,bF(CP`/@ b 33a(%{a6t Q ACHs8 d`b`b Direct link to Joy Lin's post What is the definition of, Posted 7 years ago.

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