What is Interest: Definition and 296 Discussions

Interest, in finance and economics, is payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum (that is, the amount borrowed), at a particular rate. It is distinct from a fee which the borrower may pay the lender or some third party. It is also distinct from dividend which is paid by a company to its shareholders (owners) from its profit or reserve, but not at a particular rate decided beforehand, rather on a pro rata basis as a share in the reward gained by risk taking entrepreneurs when the revenue earned exceeds the total costs.For example, a customer would usually pay interest to borrow from a bank, so they pay the bank an amount which is more than the amount they borrowed; or a customer may earn interest on their savings, and so they may withdraw more than they originally deposited. In the case of savings, the customer is the lender, and the bank plays the role of the borrower.
Interest differs from profit, in that interest is received by a lender, whereas profit is received by the owner of an asset, investment or enterprise. (Interest may be part or the whole of the profit on an investment, but the two concepts are distinct from each other from an accounting perspective.)
The rate of interest is equal to the interest amount paid or received over a particular period divided by the principal sum borrowed or lent (usually expressed as a percentage).
Compound interest means that interest is earned on prior interest in addition to the principal. Due to compounding, the total amount of debt grows exponentially, and its mathematical study led to the discovery of the number e. In practice, interest is most often calculated on a daily, monthly, or yearly basis, and its impact is influenced greatly by its compounding rate.

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  1. exvitermini

    A Quantum Interest Conjecture and negative energy-density

    Hello, everyone. I've been trying for quite some time to figure out what's up with the paradigm of quantum interest conjecture and the possibility to generate negative energy (even only theoretically speaking). Only from pure interest I have read a bunch of papers on the matter, however I feel...
  2. Schaus

    Logarithm question using compound interest formula

    Homework Statement A colony of ants will grow by 12% per month. If the colony originally contains 2000 ants how long will it take for the colony to double in size? Answer - 6.12 months Homework Equations A = P(1+r/n)nt The Attempt at a Solution r = 12% = 0.12 n = 12 P = 2000 A = 4000 t = ...
  3. L

    MHB Calculate Compound Interest: Easy Step-by-Step Guide | Calculator Tips

    Hi new to the forum and would like to improve my level of maths. I am working through a text but need some help with a compound interest question. the formula to find compound interest is I = P (1 + R)n–1. P= principal sum R= interest rate n= number of periods for which interest is calculated...
  4. Timvizz95

    Studying How Can You Effectively Teach Yourself Algebra and Beyond?

    This is my first post on the forums, Hello! my names Tim, nice to be on here! I will keep this as short as possible. In high school, I hated math and loved science. Its a story I hear often. I was bad at math, or maybe it just wasnt introduced to me correctly. It took a lot of soul searching...
  5. B

    MHB What annual interest rate will the third party receive for the investment?

    A new University graduate wanted to live expensive life and therefore bought himself a new Mercedes Benz. But things got rough so he decides to sell the car to an automobile company. He accepted a 270-day note for 3,500 Euros at 10% simple rate interest as full payment amount and the interest to...
  6. I

    MHB  with Simple Interest Problems

    Hello every. I have attempted to solve six following simple interest problems, but I'm not sure if they are right. Please help. Thank you.1/Jane was due to make loan payments of \$1200 four months ago, \$1500 today, and \$700 in two months. Instead, she is to make a single payment today. If...
  7. J

    MHB Compound Interest C programming problem

    Hello everyone, i hate that i can't figure this out and I'm just looking for good direction on how to figure out the last bit of my code. I'm first time user of C programming and haven't fully grasp the concepts and tools available to me so be patient if you offer any help. My task is to write a...
  8. P

    MHB Compound Interest Problem: When Will Mr. Weasley's Liabilities Be Cancelled?

    Can anyone help me with this problem? I'm stuck When will a payment of 300,000 galleons cancel Mr. Weasley’s liabilities to Gringott’s Bank of 100,000 galleons due after 2 years and 150,000 galleons due after 5 years if money is worth at an effective rate of 12%?
  9. alexandria

    Exponential growth and compound interest

    Homework Statement Homework Equations A = P(1+i)^n The Attempt at a Solution Here is my attempted solution, can someone please verify if my method is correct! Thanks in advance![/B]
  10. alexandria

    Exponential growth and compound interest

    Homework Statement Homework Equations The Attempt at a Solution here is my attempted answer, can someone please verify if my method is accurate and if my solution is correct? thanks for the help!
  11. MATS309TrinaC

    Diverting my students' interest

    Hi guys , I am planning to create my own blog for the innovations on my science class so that I can share more ideas with my students, And to encourage them to read and visit other informative sites on the internet not only on social media. Do you guys think it is possible ? And is there any...
  12. S

    Courses Interest in Areas of Classical Mechanics

    What are Hamiltonian/Lagrangian Mechanics and how are they different from Newtonian? What are the benefits to studying them and at what year do they generally teach you this at a university? What are the maths required for learning them?
  13. Z

    Infinite series related interest question

    Homework Statement "A dollar due to be paid to you at the end of n months, with the same interest rate as in Problem 13, is worth only (1.005)^{-n} dollars now (because that is what will amount to $1 after n months). How much must you deposit now in order to be able to withdraw $10 a month...
  14. M

    Is it ok for me to have an interest in subjects or content beyond my course?

    I am in a course of Computer Science Engineering.I have noticed about by personal temperament that I learn better on my own than I do under authority. I learn better when I am reading books and studying on my own than when I am sitting in a class and listening to six hours of people talking...
  15. W

    Compound Interest & Number e Connection

    Originally (as far as I know) the number e (ie. 2.71828...) came up in compound interest calculations. For example, if you have 1 dollar, and a compound interest of 100% per year, and the interest is continuously calculated, after one year you'll have exactly e dollars. The generic formula...
  16. carllacan

    I seem to have lost all interest in physics

    Hi. I'm getting my degree this year, and I seem to have lost all interest in learning physics. I don't feel like studying any more, I just don't see the point in it. I was fine when this semester started, I felt very motivated and I even started reading up the recommended bibliography before...
  17. M

    Electrical engineering with mechanical interest...?

    Hi, I am 1st year undergrad student at "national technical university of athens" (probably you have never heard of this university :biggrin:) in the department of electrical and computer engineering. When applying I had a very hard time choosing between electrical and mechanical engineering.(I...
  18. B

    Engineering What engineering course is the best?

    Electrical engineering, Communciations engineering, Civil engineering, Or Mechanical engineering. My question is how hard are these courses, what do they do in these courses and what jobs can they lead to. I don't really care about salary, i want a job where it is interesting, i have an...
  19. Meron

    High school student losing interest in physics - What to do?

    I'm a high school student who has been interested in physics for 3 years. But these days I feel like I'm losing interest. This is making me doubt if I should really pursue a career in Physics. What should I do?
  20. Puma

    NASA Interest thread: Nasa warps space time

    Not kidding http://mysteriousuniverse.org/2015/04/nasa-may-have-accidentally-developed-a-warp-drive/ Astounding, is it true?
  21. C

    Compound Interest Systems of Equations Problem

    Homework Statement Romeo was given a gift of $10,000 when he turned 16. He invested it at 3% per annum. Three years later, Juliet was given $10,000, which she invested at 5% per annum. When will the two amounts be equal in value? Homework Equations Compound Interest Formula Total =...
  22. Meron

    Develop an interest in biology

    I'm in my senior year. I need to get flying marks this year to get into a good college. I'm facing problems with biology, not because it's hard, but because it's too boring. It's true that there are some interesting topics like genetics but more than 80% of the textbook is filled with boring...
  23. R

    Interest percentage from selling price or cost price

    (c.p= cost price, s.p= selling price) I was doing a problem and I got its interest rate wrong. problem: An item when sold at 212.5, interest got is 12.5 . So what is the interest percentage? My solution: s.p=212.5 , interest=12.5 s.p=100 , interest= 12.5/212.5 *100 =...
  24. M

    Interest Formula for Varying Time Units and Compoundings?

    For the formula A=A0(1+r/k)^(kt) does it only work if t is in years and k is how many times per year it is compounded?
  25. G

    Other What are some practical applications of real analysis and partial derivatives?

    I'm going so deep into the theory of things on my second semester. I'm getting into real analysis and partial derivatives, and it all seems so conceptual. The practicality of integration and differentiation are apparent, but less so in real analysis and partial derivatives, especially when the...
  26. S

    MHB What is the Average Income over Multiple Interest Days?

    I have various income flows 1000 for 173 days 9000 for 153 days 20000 for 123 days 30000 for 62 days 30000 for 31 days what I am hoping to achieve is to find the average value over the given period, that period being 173 days
  27. the potato one

    Exploring Medical Physics for Prospective Graduate Students

    I have just changed my major to physics (and math minor). I'm still not sure what field I will want to study in grad school, but I am most interested in: medical physics and radiology, astrophysics, particle physics, and nuclear physics. Currently, medicine and radiology holds the most interest...
  28. M

    Finding the Interest Rate Needed for a Bank Deposit to Double in 8 Years

    Homework Statement At what rate of interest, compounded continuously, will a bank deposit double in value in 8 years? Homework Equations None. The Attempt at a Solution Q0e8r=2Q0 e8r=2 8r=ln(2) r=ln(2)/8 But the answer is (25/2)ln(2)%. How do I get the answer from there?
  29. J

    Programs Math major who has an interest in machine learning

    I'm a second year student and I've been researching about machine learning. I'd like to start learning more, and I'm wondering if someone could advise me on the appropriate modules to take which would help me in this goal. List of modules: http://www.ucl.ac.uk/maths/courses/undergraduates/ For...
  30. T

    B.S. in Mech.E. But lost interest, and can't find employment

    Hi, so I recently graduated with a B.S. in Mechanical Engineering this past Spring. Since January I've been looking for employment, but I've had 0 luck. I have a 3.945 GPA and graduated magna cum laude, involvement in honor societies Phi Kappa Phi, Pi Tau Sigma, but I don't think that really...
  31. N

    What intinitally got you interested in physics?

    This is a two-part question: Firstly, as stated what was it that initially got you interested in physics. What was the part that ignited the fire of physics for you? Secondly, for me physics is a subject that I come back to every so often. Although, it seems to be increasing and more. My...
  32. A

    MHB Amount of interest and maturity value

    Find the amount of interest and the maturity value of the following loan. Use the formula MV = P + I to find the maturity value. Principal Interest Rate Period Maturity Value \$91,000.00 9.25% 2.5 years ?
  33. C

    Encouraging my brother's growing interest in physics.

    So my youngest brother has been a bit of a problem child for my parents, he has been skipping class a lot and getting suspensions for talking back to teachers and the like, school hasn't interested him since he started high school and it's been showing in this attitude and his grades as well...
  34. D

    How to Calculate Interest in a Variable Interest Account?

    Is there a simple formula to find the amount of money in an account given a situation like this... You deposit x into the account Each year you get interest Year one the interest is 1% Year two the interest is 2% Year three the interest if 3% and so on Is it possible to get a simple general...
  35. M

    A question on mathematics of finance [Simple interest]

    "Many credit card companies target entering college freshmen with attractive interest rates. What they do not emphasize, however, is that the low rate will be in effect for only a short time, changing automatically to a much higher rate, often in just a few months. Freshman Michael Bronson...
  36. T

    [Compound Interest] Layman way vs. Derivative way

    My https://www.amazon.com/dp/0073532320/?tag=pfamazon01-20 (p. 176 Example 7.1) pointed out that an investment ##p(t) = 100\,2^t## (##t## in year) that doubles the capital every year starting with an initial capital of $100, has an (instantaneous) rate-of-change ##\frac{\text{d}}{\text{d}t} p(t)...
  37. ecoo

    Continuous Compounding Interest

    Hello So from what I understand, the continuous compound formula finds out the most you can get from interest no matter how many times you compound the interest in a set amount of time. So how come when I plugin in a big number into the regular compounding formula for the rate, the end amount...
  38. T

    MHB Need help with Interest question?

    20. Lee wishes to purchase a downhill ski package that includes the skis, poles, bindings, and boats. The selling price is \$1894. The finance plan includes a \$150 down payment and payments of \$113 each at the end of the month for 1.5 years. Find the annual interest charge, if the interest...
  39. S

    Compound Interest Paid in 3.5 Years: Regional Laws & Concepts

    - This may be a stupid question as I am totally new to the concept of interest. I don't even know if my question is valid. - Figure is given below for referenceSuppose I deposit some money in a bank that pays compound interest on yearly basis. If I decide to withdraw my amount at the end of 3.5...
  40. C

    Differential Equations : Compound Interest

    Homework Statement A college student wants to start a new savings account with an initial balance of $0. He plans to save money at a continuous rate of $700 per month. Additionally, every month he plans to increase this rate by $7. (Such that for example in month 3 he is saving at rate $721...
  41. 462chevelle

    Expert Review of Letter of Interest: Job or College Application?

    Is there anyone that is willing to look at my letter of interest? I would just like to know what someone professional thinks about it. Thanks.
  42. U

    Interest Theory- Annuity Withdrawals

    Homework Statement Consider an investment of $5,000 at 6% convertible semiannually. How much can be withdrawn each half−year to use up the fund exactly at the end of 20 years? Homework Equations the present value annuity-immediate equation equation of value relating 5000 to the...
  43. L

    Problem on interest rates -- Math proof interesting

    Hi, I have a problem that I need to solve, it goes like this: Using the fact that the geometric mean of a collection of positive numbers is less than or equal to the arithmetic mean, show that if annual compound interest rates over an n-year period are i1 in the first year, i2 in the second...
  44. gfd43tg

    Compound interest loops problem (matlab)

    Homework Statement (a) Suppose you decide to invest money in a Certificate of Deposit (CD). Write code that assigns to the variable FinalValue the final value of the CD based on the following variables: Investment: the initial amount of money invested in the CD, Rate: the annual...
  45. E

    MHB Compounding Interest: Confirm my answers?

    Find the missing information: 1) P = 3800, r = 8%, t = 39 months, c = quarterly, A = ? 2) P = ?, r = 7.5%, t = 2 years, c = monthly, A = 5,000 3) P = ?, r = 5.2%, t = 3 years, c = weekly, A = 3000 4) P = 3723, r = 6.75%, t = 30 months, c = semi annually, A = ? My answers were: 1) A =...
  46. B

    Interest Vary and its making me confused

    I'm a freshmen college student pursuing a chemical engineering degree. I have many ideas that I want to create ranging from food processing, recreating the future of human performance equipment, ocean discovery, computer programs, and more. Will majoring in chemical engineering be best suited...
  47. kyphysics

    Need Interest in Technology to Become Computer Programmer?

    Does a person need to have an interest in technology, in general, in order to be a (successful?) computer programmer? I ask, because I believe I saw this mentioned in another thread somewhere not too long ago and I've been looking into the computer programming field the past week. I think...
  48. R

    Interest in quantum entanglement would it be an appropriate subject

    ... for a dissertation in the final year of a physics degree? Over the summer we will be presented with a number of projects for our final year, we have been told that we may be allowed to choose our own if it is suitable. I have a genuine interest in quantum entanglement and was wondering if...
  49. T

    Schools Decision on which college to attend; nuclear engineering interest

    Both sons were offered a full-tuition scholarship at UAH and at the University of Alabama. Son 2 is going to accept at UAH and wants to do a double major in Aerospace and Mechanical. Here's the dilemma: Son 1 really wants to major in nuclear engineering, which would require him turning...
  50. A

    Using Linear Interpolation to Find Interest

    Homework Statement Homework Equations The Attempt at a Solution I understand how they calculated NPW but how did they use the linear interpolation method?
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