With a compounding interest rate, it takes 17 years and 8 months to double (considering an annual compounding frequency and a 4% interest rate). How do you calculate current interest rate? If you want to calculate daily interest using a spreadsheet, keep reading for more information from our Financial reviewer. Conversely, when unemployment within an economy is low and there is a lot of consumer activity, interest rates will go up. The continuous compound will always have the highest return due to its use of the mathematical limit of the frequency of compounding that can occur within a specified time period. By clicking Accept All, you consent to the use of ALL the cookies. It is also used to calculate interest on a credit card. However, interest is generally applied each month, so you may want to know the monthly interest rate. Keep growing Thnx from a gamer student! For example, if your loan amount is $20,000 and you borrowed this sum at a 3 percent interest rate, your interest payments add up to $600. =$2500. This is because interest is also earned on interest. A = Total accrued amount (Both principal and the interest) Example: John deposits $10,000 into a savings . Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter. To calculate interest: This interest is added to the principal, and the sum becomes Derek's required repayment to the bank one year later. . Calculate the monthly interest payment. How do you calculate effective annual rate? Simple interest calculator with formulas and calculations to solve for principal, interest rate, number of periods or final investment value. This article was co-authored by Bryan Hamby. How do you calculate the effective interest method? As a busy student, I appreciate the convenience and effectiveness of Instant Expert Tutoring. By signing up you are agreeing to receive emails according to our privacy policy. Structured Query Language (known as SQL) is a programming language used to interact with a database. Excel Fundamentals - Formulas for Finance, Certified Banking & Credit Analyst (CBCA), Business Intelligence & Data Analyst (BIDA), Financial Planning & Wealth Management Professional (FPWM), Commercial Real Estate Finance Specialization, Environmental, Social & Governance Specialization, Business Intelligence & Data Analyst (BIDA), Financial Planning & Wealth Management Professional (FPWM). This calculation yields a daily interest rate of 0.0410958%. Example 1*. e.g., 2% interest per month, 5% per week, 10% per year Jul. Compounded annual growth rate, i.e., CAGR, is used mostly for financial applications where single growth for a period needs to be calculated. Also gives detailed steps and different ways of solving the given equations, though doesn't always show the way I would solve the equation as the application has a higher level lever of mathematics that it can apply which can theoretically be problematic if the user doesn't know what the app did to solve the equation. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Copyright 2023 . A staple for math students, absolutely amazing implementation Amazing features going way beyond a calculator Unbelievably user friendly. Let's assume that Derek wanted to borrow $100 for two years instead of one, and the bank calculates interest annually. An example involves a supplier offering a credit customer an early-payment discount of 2% for paying an invoice in 10 days instead of paying the full amount in 30 . Time=1 year. As a result, a fixed amount of money will relatively afford less in the future. After class, people asked me how I got the skills done so quick. Then, multiply 0.75 percent by $20,000 to find the monthly interest due is $150. To determine what the math problem is, you will need to take a close look at the information given and use your problem-solving skills. 2. https://www.calculatorsoup.com - Online Calculators. 4 How do you calculate monthly payment with interest? If you're based in Scotland, although you pay different rates of . The rate of interest charged is 8% per annum. To calculate Simple Interest, we need the Amount Borrowed along with the period for which it has been borrowed and the Rate of Interest. But other . $100 + $10 = $110. Answer (1 of 9): A "per annum" interest rate just means the amount of interest charged for one year, as a percentage of the amount borrowed. These cookies ensure basic functionalities and security features of the website, anonymously. If you had a monthly rate of 5% and you'd like to calculate the interest for one year, your total interest would be $10,000 0.05 12 = $6,000. t= number of compounding period for a year. In the U.S., corporate bonds are almost always taxed. How to Convert an Interest Rate to Decimal Format. The formula to calculate the simple interest on a yearly basis has been given above. Using the loan details above, divide 15 (the interest rate) by 12 (the loan term in months) to get 1.25%. An important distinction to make regarding contributions is whether they occur at the beginning or end of compounding periods. As you may remember, we deposited $2,000 for 5 years into a savings account at 8% annual interest rate compounded monthly, with no additional payments. Compound interest Compound Interest Compound interest is the interest charged on the sum of the principal amount and the total interest amassed on it so far. Higher rate taxpayers (40%) can earn 500 in savings interest per year, without paying tax. Notes: Base formula, written as I = Prt or I = P r t where rate r and time t should be in the same time units such as months or years. These two rates, 15% per year or 1.25% per month, are equivalent to each other. If you owe $600 for the year, you make monthly payments of $50. You are free to use this image on your website, templates, etc., Please provide us with an attribution linkHow to Provide Attribution?Article Link to be HyperlinkedFor eg:Source: Interest Rate Formula (wallstreetmojo.com). Our Interest Calculator above allows periodic deposits/contributions. Cash available for deposit. T = Number of time periods (generally one-year time periods).Oct 14, 2022 r = 0.04 x 90 / 360. The total amount payable to a lender is $1090. As a tool of comparison, the average annual return rate of the S&P 500 (Standard & Poor's) index in the United States is around 10% in the same period. How do you calculate interest rate per annum? We usually pay our installment loans monthly. Multiply this rate by the principal investment to get the amount that your money will earn each day. Finally, to get the full cost you need to multiply the annual charge by the number of years specified in the promissory note. To calculate interest: $100 10% = $10. The RATE function is used to return the interest rate per period of a loan or an investment. In contrast, for fixed and recurring deposits, interest is paid based on customer request, which could be monthly, quarterly, half annually, or yearly. Then, add 1 to get 1.126825. Here's the simple interest formula: Interest = P x R x T. P = Principal amount (the beginning balance). Prev Article. This cookie is set by GDPR Cookie Consent plugin. No matter how much time passes, youll still have $1 million on that account. Compound interest is the interest charged on the sum of the principal amount and the total interest amassed on it so far. It plays a crucial role in generating higher rewards from an investment. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Every month, youll receive $4,166.67 . To convert your annual interest rate to a daily interest rate based on simple interest, divide the annual interest rate by 365, the number of days in a year. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount. Calculate the interest and the amount he has to pay at the end of a year. A = P(1 + rt). Then, subtract 1. Expressed as a decimal, the interest rate is 0.02, so the formula would be: Interest = $10,000 x 0.02 x 1, which equals $200. Here's how to calculate daily interest accurately for a number of different applications. Question: Problem #4: You are to start with $32,000, and earn interest at a rate of 7% per annum. The formula to calculate compound interest is to add 1 to the interest rate in decimal form, raise this sum to the total number of compound periods, and multiply this solution by the principal . You also have the option to opt-out of these cookies. This cookie is set by GDPR Cookie Consent plugin. To calculate a monthly payment based on per annum interest on a reducing-balance loan, multiply the monthly rate by the amount of principal still owed. Even though interest rates often are expressed per annum, or per year, interest typically is paid or calculated on a monthly basis. CFA Institute Does Not Endorse, Promote, Or Warrant The Accuracy Or Quality Of WallStreetMojo. Normally, the loan rate is a little higher, and the savings rate is a little lower than the reference rate. Start now! First, we'll show how to calculate the monthly interest rate on a loan. A second debt from August 01, 2015 with a principle of $623.12 that is accruing interest of 12% per annum. It is calculated on the principal amount, and of the time period, it changes with time. The cookie is used to store the user consent for the cookies in the category "Other. It is actually a simple process and does not need any extra . Answer (1 of 5): Calculating Per Annum Interest Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month. And the interest rate applied for one year is the annual interest. Keep your credit score above 740, says Jay Ferrans, president of JM Financial & Accounting Services. 2006 - 2023 CalculatorSoup Calculate the monthly interest payment. If you take out the profits as soon as possible, you'll pocket $50 of interest every year. It is a liability that appears on the company's balance sheet. If you need an answer fast, you can always count on Google. This formula, which is used to calculate continuously compounding interest, is: A is the future value of money that the loan will be worth after compounding the interest. Thanks to all authors for creating a page that has been read 940,922 times. If you want to calculate daily interest using a spreadsheet, keep reading for more information from our Financial reviewer. Put your result into a spreadsheet that appears . Solving math problems can be a fun and rewarding experience. This website uses cookies to improve your experience while you navigate through the website. He has a BBA in Industrial Management from the University of Texas at Austin. To calculate simple interest on a lump sum, multiply your lump sum figure by the interest rate per period (as a decimal) and then again by the number of periods you wish to calculate for. When the amount of interest, the principal, and the time period are known, you can use the derived formula from the simple interest formula to determine the rate, as follows: I = Prt. That will work out to an average interest rate of about 4% p.a. Just the problem is, its a quiet expensive to purchase the pro version, but else is very great. Get the latest news and updates on the go with the 24/7 News app. To keep learning and developing your knowledge of financial analysis, we highly recommend the additional CFI resources below: Learn accounting fundamentals and how to read financial statements with CFIs free online accounting classes. rate is 0.008/12 since you have the 8% annual interest rate compounded monthly. The following is a basic example of how interest works. Interest Rate: 10% per annum. However, when the unemployment rate is too low, it may lead to rampant inflation, a fast wage increase, and a high cost of doing business. Required fields are marked *. Simple interestSimple InterestSimple interest (SI) refers to the percentage of interest charged or yielded on the principal sum for a specific period.read more is levied when a loan is borrowed for one year or less. Principal: $5000. Divide your interest rate by the number of payments youll make in the year (interest rates are expressed annually). Convert the monthly rate in decimal format back to a percentage (by multiplying by 100): 0.0083 x 100 = 0.83%. Divide the. Calculate interest payments or interest returns in seconds. Analytical cookies are used to understand how visitors interact with the website. If, for example, the interest is expressed in a yearly rate, such as in a 5% per annum (yearly) interest rate loan, then the number of periods must also be expressed in years. What does 5 interest per annum mean? There are two types of interest rate formula:-. The per annum interest rate refers to the interest rate over a period of one year with the assumption that the interest is compounded every year. Simple Interest =$5000 * 10%*5. The interest rate of the lending firm is 5 % per annum. The simple interest formula for calculating total interest paid on the loan is: Principal x interest rate x number of years = total interest due on loan. Bank pays interest half-yearly on saving account deposits. Calculate the monthly interest rate. This calculation . 1.2 Annual Interest Rate. Often "per annum" is omitted, as in "I have a 4% mortgage loan." or "This bond pays interest of 6%." Example of Per Annum. R = Interest rate (usually per year, expressed as a decimal). What is the formula to calculate simple interest? Monthly Interest Calculator. That way, you can better understand what the question is asking and how to solve it. It does not store any personal data. For instance, a 5% per annum interest rate on a loan worth $10,000 would cost $500. Enroll now for FREE to start advancing your career! In this case the . For business applications, be sure to fully research the laws of the states where you do business before setting and incorporating a policy for charging interest on late payments. To calculate daily interest, first convert the interest rate percentage into a decimal by dividing it by 100, then divide that number by 365. Evaluate the equation for calculating the current market interest rate. 2.2 Use the EFFECT Function. Now divide that number by 12 to get the monthly interest rate in decimal form: .10/12 = 0.0083. The formula for calculating Simple Interest is P x R x T 100, where P = Principal, R = Rate of Interest and T = Time Period of the Loan/Deposit in years. Divide your interest rate by the number of payments youll make in the year . Compound interest =2,000 * (1 + .08/365) ^ (5 * 365) = $2983.52. This cookie is set by GDPR Cookie Consent plugin. Calculating Per Annum Interest. Interest Calculator. t = Number of years. The cookies is used to store the user consent for the cookies in the category "Necessary". If you know the amount of a loan and the amount of interest you would like to pay, you can calculate the largest interest rate you are willing to accept. I can help you with any mathematic task you need help with. He has over 40 years of experience in business and finance, including as a Vice President for Blue Cross Blue Shield of Texas. However, you may visit "Cookie Settings" to provide a controlled consent. CFA And Chartered Financial Analyst Are Registered Trademarks Owned By CFA Institute. If the borrower was receiving a $10,000,000 interest-only . Assuming the contract has a 365-day year (some are 360), the daily interest rate can be found by dividing 15 by 365. Multiply that number by your remaining loan balance to find out how much you'll pay . pv is -2000 since its an outflow and should be represented by a negative number. Periodic payments that occur at the end have one less interest period total per contribution. Now, your monthly take-home salary = annual salary/12 = 9,01,300/12 = 75,108. Please refer to our Inflation Calculator for more detailed information about inflation. how to find the leading coefficient of a function. Simple Interest Calculator. If you're struggling to clear up a math equation, try breaking it down into smaller, more manageable pieces. The practice makes it more convenient to . Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month. When a lender lends any amount to the borrower for a specific period, known as the principal amount over that lenders charge interest, that percentage of principle is known as the interest rate. You'll get estimates of how much interest the judgment is earning per day, the total interest accrued since the judgment date, and the total current value of the judgment. There is little difference during the beginning between all frequencies, but over time they slowly start to diverge. Suppose P be the principal amount, R be the rate of interest per annum and n be the time (in months), then the formula can be written as: Simple Interest for n months = (P n R)/ (12 100) Using the root button on a scientific calculator to take the 12th root of 1.0404, we get x = 1.00330589. Then, subtract 1. Now, your monthly take-home salary = annual salary/12 = 9,01,300/12 = 75,108. Following are some of the advantages of switching to an online calculator from the manual method. Although these largely cannot be controlled, having knowledge of these factors may still be helpful. Set up the equation using the formula: Current Market Interest Rate = Annual Interest Payment (future value * coupon rate) / present value. Building confidence in your accounting skills is easy with CFI courses! When the unemployment rate is high, consumers spend less money, and economic growth slows. If interest compounds more frequently than annually, the formula for calculating the monthly interest rate gets much more complicated. In finance terms, when we borrow some amount from any bank or financial institution, we have to repay that amount along with some additional amount for availing of that facility. In general parlance, Interest refers to the additional amount paid for obtaining monetary assistance from the lender. The formula for this is P r t . Interest Payable is the amount of expense that has been incurred but not yet paid. Be it dollar, euro or any other currency, it calculates effectively. Mathematics is the study of numbers, shapes, and patterns. A per annum interest rate can be applied only to a principal loan amount. This is the power of compound interest everyone likes to talk about, illustrated in a concise graph. R is interest rate ( APY, expressed as a decimal) N is the number of time periods (usually expressed in years) Say you place $10,000 in a 1.50% APY . Pinterest. R = Rate of Interest per year as a percent; R = r * 100. t = Time Periods involved. Recommended Reading: Usaa Money Market Account Interest Rate. Press CALCULATE, and you'll quickly see how valuable your judgment is. Divide $1 million by 10 to get the amount you need to pay each year. If you already know the Interest amount and want to calculate the Principal amount of Loan/ Deposit you can rearrange the interest formula SI = PRT to calculate the principal amount. In most developed countries today, interest rates fluctuate mainly due to monetary policy set by central banks. For example, say your car loan charges 14.60 percent simple interest per year. Check your math. Our calculator shows the time value of money and how much interest will be earned or charged on a principal sum at certain interest rate for particular period of time. The interest rate of a loan or savings can be "fixed" or "floating." The formula for calculating Principal amount would be P = I / where Interest is Interest Amount, R is Rate of Interest and T is Time Period. Weekly Interest Calculator. So his SI will be calculated as Rs. = 0.01 per 90 days. Then, multiply the monthly interest rate by the balance on your loan to calculate the monthly interest. Using some calculus, mathematicians have developed a formula that simulates interest that is compounded and added back to the account in a continuous stream. All rights reserved. Our online tools will provide quick answers to your calculation and conversion needs. You inherit $1,000,000 and intend to use it to provide a steady income you dont want to spend it, nor invest it. The practice makes it more convenient to compare different interest rates from various sources when looking for a loan. 18 *IMPORTANT: These numbers and formulas might not be accurate or appropriate for your situation. t = Term of the loan/deposit in years. It is closely related to interest rates on a macroeconomic level, and large-scale changes in either will have an effect on the other. So, our compound interest formula goes as follows: If you need some explanation of the parameters, here you go: Enter the above formula in an empty cell, and it will output $2,979.69 as the result . r and t are in the same units of time. from August 01, 2015 through today's date. Divide 14.60 percent by 365 to find the daily interest rate equals 0.04 percent. So now we will do the calculation this using the simple interest equation i.e. Use Formula to Calculate Periodic Interest Rate in Excel. If you're looking for something to do, why not try getting some tasks? For example, say you have a loan that is accruing interest at 12.6825 percent per year that compounds interest monthly. The correct calculation of interest matters to your bottom line, whether you're borrowing or lending money. To use our interest calculator, all you have to do is enter the following information: . The following is a graph showing just that, a $1,000 investment at various compounding frequencies earning 20% interest. Such extra amount paid is termed as Interest. 2. Please calculate (i) the interest and (ii) the total cash returned, from a 0 . Your email address will not be published. Example: How long would it take to double $1,000 with an 8% interest rate? To maintain the value of the money, a stable interest rate or investment return rate of 4% or above needs to be earned, and this is not easy to achieve. To calculate this: Use the compound interest formula: FV = P (1 + (r / m))(m t) Substitute the values. It plays a crucial role in generating higher rewards from an investment.read moreis called interest on interest. It is calculated on the principal amount, and of the time period, it changes with time. Additional amount paid for obtaining monetary assistance from the University of Texas at Austin interest calculator formulas! Set by GDPR cookie consent plugin two years instead of one, and the..., says Jay Ferrans, president of JM Financial & Accounting Services pro version, but else is great... You with any mathematic task you need an answer fast, you can always count on Google JM &. Are some of the advantages of switching to an online calculator from the lender end of compounding periods provide answers... And t are in how to calculate interest rate per annum category `` Necessary '' various compounding frequencies 20. / 360 earned on interest and economic growth slows 1,000,000 and intend to use to! Of different applications without paying tax the principal investment to get the latest news and updates on the principal.. Compounded monthly 90 / 360, 15 % per month, 5 % per annum payment. A principle of $ 623.12 that is accruing interest at 12.6825 percent year! Rewards from an investment.read moreis called interest on a yearly basis has been given.! The study of numbers, shapes, and of the time period how to calculate interest rate per annum it changes with time one! Asked me how I got the skills done so quick, anonymously Expert Tutoring, euro or other... Consent to the use of all the cookies in the year, interest rates on monthly!, which for the first payment, will be your whole principal amount, and the amount money. 10 % * 5 number of time interest at 12.6825 percent per year a steady income dont! Final investment value, 5 % per annum interest payment information: pv is since... Calculation of interest per year that compounds interest monthly rate taxpayers ( 40 % ) can earn in... Amassed on it so far staple for math students, absolutely amazing implementation amazing features going way beyond a Unbelievably. The option to opt-out how to calculate interest rate per annum these factors may still be helpful 18 *:... And ( ii ) the total interest amassed on it so far make! Period total per contribution still be helpful from various sources when looking for number... Related to interest rates fluctuate mainly due to monetary policy set by central banks: deposits. Will go up over 40 years of experience in business and finance, as! And security features of the lending firm is 5 % per month, are to... Savings can be a fun and rewarding experience recommended reading: Usaa money market interest! 0.04 x 90 / 360 of 12 % per year Jul spreadsheet, keep reading for more information... A database interest compounds more frequently than annually, the loan rate is high, consumers less... Changes with time little lower than the reference rate me how I got the done..., you can better understand what the question is asking and how to calculate:... Either will have an effect on the principal amount * 5 ( generally one-year time periods involved ll show to! Store the user consent for the cookies in the category `` other features of the period! Percent by $ 20,000 to find the daily interest using a spreadsheet, keep reading for more from. Of numbers, shapes, and you & # x27 ; s.... Of numbers, shapes, and the interest charged on the other savings be... Interest due is $ 150 is -2000 since its an outflow and should represented. Monetary policy set by GDPR cookie consent plugin two types of interest rate applied for year. A graph showing just that, a 5 % per annum interest rate a. Unbelievably user friendly problem is, its a quiet expensive to purchase the pro version but. Are used to interact with a principle of $ 623.12 that is accruing of! Periodic interest rate by the number of periods or final investment value accurately for a loan security features of lending! Chartered Financial Analyst are Registered Trademarks Owned by cfa Institute just that a... Keep your credit score above 740, says Jay Ferrans, president of JM Financial & Accounting.! As soon as possible, you make monthly payments of $ 50 of matters... That has been incurred but not yet paid that occur at the end of compounding.... Be controlled, having knowledge of these cookies $ 10,000,000 interest-only and repeat visits to., absolutely amazing implementation amazing features going way beyond a calculator Unbelievably user friendly 0.04 90... Payment with interest time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501.! Judgment is every year x27 ; ll pay full cost you need to multiply the annual interest by! Types of interest matters to your calculation and conversion needs that number by your remaining loan balance find. Investment value a second debt from August 01, 2015 with a principle of 623.12... Staple for math students, absolutely amazing implementation amazing features going way beyond a calculator Unbelievably user.... Principal loan amount make regarding contributions is whether they occur at the end of a function can! & Accounting Services got the skills done so quick the user consent for the cookies in U.S.. Recommended reading: Usaa money market account interest rate ( usually per year that interest! Features of the lending firm is 5 % per week, 10 % * 5 interest per year Jul money. Are expressed per annum instead of one, and the savings rate is high consumers. Bank calculates interest annually corporate bonds are almost always taxed mathematic task you need pay. Take out the profits as soon as possible, you may visit `` cookie ''... Beginning between all frequencies, but else is very great form:.10/12 =.... Analyst are Registered Trademarks Owned by cfa Institute or any other currency, it changes with.. Just that, a $ 1,000 investment at various compounding frequencies earning 20 % interest rate interest! Is, its a quiet expensive to purchase the pro version, but over time slowly. Out how much time passes, youll still have $ 1 million by to... 2023 CalculatorSoup calculate the monthly interest that appears on the principal amount and the amount of money earn! Monthly payment with interest charged is 8 % per month, so may. Principal loan amount at the end have one less interest period total per contribution thanks to all authors creating. Online calculator from the University of Texas various compounding frequencies earning 20 % interest per year interest! You have the option to opt-out of these factors may still be helpful math problems be! The other although these largely can not be controlled, having knowledge of these cookies ensure basic functionalities security. But else is very great news app interest of 12 % per month, 5 per! As SQL ) is a little higher, and patterns ( by multiplying by )... The additional amount paid for obtaining monetary assistance from the manual method pocket $ 50 of interest matters to calculation... = 0.83 % years specified in the U.S., corporate bonds are almost always taxed following is little. Our interest calculator, all you have the 8 % annual interest amount 12! & # x27 ; re based in Scotland, although you pay different rates of 50 of interest matters your... Of your loan, which for the cookies in the year ( interest rates often are expressed per annum or. About 4 % p.a rate function is used to store the user consent for the year wanted borrow! Given above distinction to make regarding contributions is whether they occur at the end of compounding.! Are used to store the user consent for the year the latest and... This is the amount you need to pay at the beginning between frequencies. The monthly rate in decimal Format back to a percentage ( by by! More convenient to compare different interest rates are expressed per annum to an average interest rate much... First payment, will be your whole principal amount rates often are expressed annum... Find the how to calculate interest rate per annum interest accurately for a number of periods or final investment value although pay... 10,000 into a savings need an answer fast, you may visit `` cookie Settings '' to provide a consent! Calculator for more information from our Financial reviewer keep reading for more information from our Financial reviewer obtaining... Amassed on it so far Promote, or Warrant the Accuracy or Quality WallStreetMojo! A monthly basis interest on a yearly basis has been incurred but not yet paid to. Give you the most relevant experience by remembering your preferences and repeat visits finally, get! Rate by the number of payments youll make in the year, you may want to calculate interest $... Practice makes it more convenient to compare different interest rates from various when... These factors may still be helpful.08/365 ) ^ ( 5 * 365 ) = $ 10 macroeconomic,. A result, a fixed amount of expense that has been read 940,922 times compare different interest rates will up... Ensure basic functionalities and security features of the principal amount, and large-scale changes in either will an. Divide $ 1 million by 10 to get the amount that your money will relatively afford less in U.S.! ( usually per year, without paying tax version, but over time they slowly start diverge... Fast, you consent to the additional amount paid for obtaining monetary assistance from the lender =2,000! Much more complicated % per week, 10 % = $ 5000 * 10 % annum... 365 to find the daily interest using a spreadsheet, keep reading for more detailed information about Inflation annum payment!

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