Why does it take 30 years to pay off a $150,000 loan, even though you pay $1,000 a month? | Homework.Study.com (2024)

Copyright

Question:

Why does it take 30 years to pay off a $150,000 loan, even though you pay $1,000 a month?

Loan Duration:

Financial institutions provide loans to customers to fulfill their needs, and customers pay back the loan with interest to a lender. Managers calculate the duration of a loan with the help of interest rate and principal amount.

Answer and Explanation:1

The interest rate on a loan directly affects the duration of a loan.

We will use monthly installment formula to calculate the interest rate:

{eq}\be...

See full answer below.

Become a member and unlock all StudyAnswers

Start today. Try it now

Create an account

Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question

Search Answers

Learn more about this topic:

Why does it take 30 years to pay off a $150,000 loan, even though you pay $1,000 a month? | Homework.Study.com (1)

Get access to this video and our entire Q&A library

Try it now

What is a Loan? | Definition & Types

from

Chapter 6/ Lesson 9

237K

Explore what a loan is. Learn about the types of loans with examples. Understand the entire process of a loan and some of the common advantages and disadvantages.

Related to this Question

  • Why can fully-amortizing payments be significantly higher, later in the life of a loan, than in the loan's initial payments?
  • How many years will it take to pay off a $900 loan at 12% by making monthly payments of $25? The first payment is in one month.
  • You borrowed $8,887.24 at 6.59%. If your payments are $2,599.52 a year, about how long will it take to pay off the loan? a. 2.47 years b. 3.42 years c. 4.00 years d. 5.00 years
  • Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?
  • How long will it take to pay off a loan of $53,000 at an annual rate of 9 percent compounded monthly if you make monthly payments of $750?
  • How long will it take to pay off a loan of $46.00 at an annual rate of 9 percent compounded monthly if you make monthly payments of $700?
  • Why is the interest rate for an educational loan much higher than that of a home loan?
  • How long will it take to pay off a loan of $50,000 at an annual rate of 9 percent compounded monthly if you make monthly payments of $500?
  • Why do banks care about amortization periods? Particularly if you can pay down your mortgage on your own after the term ends.
  • How does the maturity of a loan affect the monthly payments? What should you consider when selecting the maturity?
  • Explain why the effective interest rate (rEAR) on a loan often is much higher than the simple, or stated, interest rate (APR)
  • How many months will you pay on a car loan of a $28,919 with a payment of $559.09 per month at 6 interest per year?
  • Why are interest rates on short-term loans not necessarily comparable to each other? Give three possible reasons
  • If I buy a car that costs $10,000 and I can only afford to pay $250 per month, how many months will it take me to pay off the car if my car loan has a rate of 8.89% per year?
  • Alex has taken out a loan of $180,000 with an annual rate of 11% compounded monthly to pay off hospital bills. If Alex can pay $3,500 a month, how many years will it take to pay off the loan?
  • Why are loan payments under the simple interest method usually lower than loan payments under the add-on interest method?
  • Suppose you have $25,000 in student loans. If you pay it back over 15 years at 7% compounded monthly, how much is your monthly loan payment?
  • A bank loans you $20,000, amortizing over five years at 12% pay monthly. What will be your monthly payment? A. $462 B. $672 C. $356 D. $445
  • You take out a $200,000 mortgage for 20 years at 6%. What are your monthly payments? (show your work)
  • What is the interest rate on a loan of $24,000 with a payment of $475.23 per month for 5 years?
  • What is the interest rate on a loan of $16,000 with a payment of $445.29 per month for 4 years?
  • What is the interest rate on a loan of $8,000 with a payment of $222.65 per month for 4 years?
  • What is the interest rate on a loan of $32,000 with a payment of $744.58 per month for 5 years?
  • What is the term in loan agreement if you have to pay the interest of the entire loan period before you start paying the principal?
  • Explain how term to maturity affects the price of a bank loan.
  • Why can't we make a statutory change in how loans are amortized, so that the principal is paid much faster, compared to interest?
  • Why might the actual real interest rate differ from the expected real interest rate? Would this possible difference be of more concern to you if you were considering making a loan to be paid back in 1 year or a loan to be paid back in 10 years?
  • Discuss the advantages and disadvantages of the following type of term loan: Those that require equal periodic payments.
  • A bank loans you $20,000, amortizing over five years at 12% pay yearly. How much interest will you pay in month 2 of the loan? A. $179 B. $356 C. $198 D. $231
  • You borrow $85,000; the annual loan payments are $8,273.59 for 30 years. What interest rate are you being charged?
  • You borrow $230,000; the annual loan payments are $20,430.31 for 30 years. What interest rate are you being charged?
  • You borrow $55,000; the annual loan payments are $3,180.66 for 30 years. What interest rate are you being charged?
  • You borrow $230,000; the annual loan payments ar $20,430.31 for 30 years. What interest rate are being charged ?
  • Calculate the APR of a loan for $9,850, including loan fees of $240, at 11% for 3 years.
  • You have borrowed 75,000 at 6% for 10 years. This is a monthly loan. What do you owe the lender in month 120? A. $375 B. $75,375 C. $45,790 D. $0
  • How much of your Year 3 payment will be used to repay the principal on the loan? i. $10,798.85 ii. $9,817.14 iii. $9,129.94 iv. $12,271.43 You are about to buy your first classic sports car. To do so, you have arranged to borrow $72,500 from your loc
  • You are willing to pay $200 a month for 60 months. How much loan can you get if the annual interest rate for car loans is 5% over 60 months?
  • What is the effective rate on a $10,000 installment loan with bi-monthly payments, $1,600 in interest, for 2 years? a. 16% b. 7.4% c. 29.5% d. 14.8%
  • Suppose you borrow $9,875 and then repay the loan by making 12 monthly payments of $863.58 each. What is the effective annual rate (EAR) you are paying?
  • You can afford a monthly car payment of $215. How much will you be able to borrow via a 3-year loan at 7.875% interest?
  • How many years will it take you to pay off a mortgage of $100,000, if you are making monthly payments of $1,434.71 and the rate of interest you are being charged is 12.3040% compounded semiannually?
  • How many years will it take you to pay off a mortgage of $100,000 if you are making monthly payments of $1434.71 and the rate of interest you are being charged is 12.3040% compounded semiannually?
  • How long would it take you (how many payments and how many years) to pay off a credit card with an APR of 17.9% if you borrowed $2,025 and make minimum payments of $45 per month?
  • How long would it take you (how many payments and how many years) to pay off a credit card with an APR of 17.9% if you borrowed $2,025 and make minimum payments of $100 per month?
  • What is your monthly mortgage payment on a loan for $150,000, at 6% for 20 years?
  • Alex has taken out a loan of $180,000 with an annual rate of 11% compounded monthly to pay off hospital bills. How long will it take to pay off the loan if he can pay $4,000 each month?
  • You borrow $10,000 and will pay back the entire amount in 10 years. You are charged 6 percent interest per year. How much interest do you pay on this loan?
  • Suppose you borrow $10,000 for four years at 8% toward the purchase of a car. Find the monthly payments on this loan.
  • You took out a 4.3% loan to purchase a $18,000 car. the length of the loan is 8 years. How much will she pay in interest?
  • What is the yield to maturity (YTM) on a simple loan for $2,000 that requires repayment of $20,000 in five years' time?
  • What is the yield to maturity (YTM) on a simple loan for $1,000 that requires a repayment of $4,000 in five-years' time?
  • If you take out a 5-year car loan for $20,000 where you will make monthly payments of $400 (beginning one month from now), what is the APR of your loan?
  • Left Bank has a standing rate of 8% (APR) for all bank loans and requires monthly payments. What is a monthly payment if a loan is for: (1) $100,000 for five years? (2) $250,000 for ten years? (3) $1,
  • For a $13,000 student loan with a 6% APR, how much of the payment will go toward the principal and how much will go toward paying interest for each of the first six payments? Assume this is a 10-year
  • How much time will it take for my personal loan to get approved?
  • How much would be the monthly payment on a $23,000 auto loan over 6 years at 6%?
  • You take out a $35,000 loan to buy a car. The loan is a 5 year loan with monthly payments and a 3.3% APR. Your monthly payment is $633.58 How much interest will you pay in the third year?
  • A $45,000 new car loan is taken out with a 10% APR for 48 months. How much are monthly payments on this loan?
  • You have just purchased a car and taken out a $55,000 loan. The loan has a five-year term with monthly payments and an APR of 5.7%. a. how much will you pay interest and how much will you pay princip
  • How much is the payment on a $100,000 loan given an interest rate of 12%, and 60 monthly payments?
  • You take out a $9,000.00 loan for 10 years with 7% interest compounded quarterly with quarterly payments. You decide to pay off the loan in 8 years. How much will you pay?
  • What are the total payments over the whole term of the loan?
  • You can pay off a loan either by paying the entire amount of $16,000 now or you can pay $10,000 now and $10,000 at the end of ten years. Which is preferable when the nominal continuously compounded in
  • From which Indian bank did you take an education loan for an MS in US studies? If you have re-paid the loan amount, in how much time did you do it? Was there any pre-payment penalty?
  • You borrow $100,000 for 18 years at an annual rate of 7%. What would be your fixed QUARTERLY loan payment?
  • Annie White graduate graduated from college with a student-loan debt of $32,000. The interest rate on this debt is 0.5% per month. If monthly payments on this loan are $618.65, how many months will it
  • What is the monthly payment of a $28,600 car loan at 9.65% interest for 5 years?
  • If you borrow $100 from a bank at an APR of 10 percent compounded monthly for 1 year, how much do you need to payoff the loan?
  • What annual payment would be required to pay off a four-year, $20,000 loan if the interest rate being charged is 7%?
  • What is the yield to maturity (YTM) on a simple loan for $1,000 that requires a repayment of $4,000 in five years?
  • A loan is offered with monthly payments and a 10%APR. What is the loan's effective annual rate (EAR)?
  • What is the total interest paid over whole term of the loan?
  • A loan shark offers you a loan of $500 today but you must pay back $550 in a month. What is the effective annual rate they are charging?
  • How much interest would you pay to borrow $670 for eight months at 12 percent?
  • 1. In general, what interest rates and fees are levied on secured short-term loans? 2. Why are these rates generally higher than the rates on unsecured short-term loans?
  • If you have a $125,000 mortgage with a $700.00 monthly payment, payable over 30 years, what interest rate are you paying?
  • Explain why a borrower is often required to purchase credit life and disability insurance, as a condition of receiving an installment loan. Briefly describe the basic features of an installment loan.
  • How much interest will you pay over the life of your car loan if you borrow $8,000 over a 36 month period at an interest rate of 8%?
  • If payments are constant, why does the amount of interest change over time? I)As the loan is amortized, the beginning balance, hence the interest change, increases and the repayment of principal increases. II)As the loan is amortized, the beginning bala
  • You borrow $1,000 from a payday lending company and pay $20 interest for one month. What is the effective rate? a. 0.27% b. 26.82% c. 24% d. 126.82%
  • What monthly payments are necessary to pay off a loan of $8,000 at 10 percent per year in 2 years? Show your complete solution.
  • What monthly payments are necessary to pay off a loan of $8,000 at 10 percent per year in 3 years? Show your complete solution.
  • On a 5-year, $27,000 car loan at 3% with monthly payments, how much principal will you pay during first three years of the loan?
  • An interest of $122.43 is paid on a $1,260 loan. If the interest rate is 10.6% per year, what was the term of the loan?
  • Why is the concept of 'amortization' applicable to a mortgage, but not to a personal loan?
  • Suppose you borrow 11,000 for 5 years at 6% towards the purchase of a car. What would be the monthly payments and total interest for the loan?
  • A borrower takes out a 10-year mortgage loan for $300,000 with an interest rate of 11.3%. What would the constant monthly payment be?
  • A $10,000 car loan has payments of $361.52 per month for three years. What is the interest rate? Assume monthly compounding.
  • Is going for a 25L home loan with a 50k salary per month a good idea?
  • If you can afford monthly payments of $300 on an auto loan for 60 months at 6.9% interest (compounded monthly), what is your maximum loan balance given these terms? Please explain.
  • A guy borrows $5000 and wants to repay it $190 per month starting at the end of this month. If the loan terms are 6% APR with monthly compounding, how many payments will he need to make to pay off th
  • What is the APR, and why are lending institutions required to disclose this rate?
  • You would like to purchase a car for $27,862. If the car loan is 7.00% financed over 5 years, what will the monthly payments be for this car?
  • How much of your Year 2 payment will constitute interest on your loan? a)$4,479.94 b)$5,298.85 c)$6,021.43 d)$4,817.14 Your dream is about to come true. You are about to buy your first sports car. To do so, you have arranged to borrow $80,000 fro
  • To pay for your education you have taken out $28,000 in student loans. If you make monthly payments over 13 years at 6% compounded monthly, how much are your student loan payments?
  • You borrow $200,000 from a bank. The interest rate is 1.5% per year. How large should your monthly payments be to pay off your loan in 25 years? Assume payments at the beginning of each month.
  • You borrow $200,000 from a bank. The interest rate is 5% per year. How large should your monthly payments be to pay off your loan in 25 years? Assume payments at the beginning of each month.
  • If you take out a 30-year mortgage for $235,000 at a fixed interest rate of 7.5% (APR), what will your monthly payments be?
  • A company wants a loan of $200,000. The loan is for 1 year and the lender charges 6% per year. What is the monthly payment of the company?
  • A house costs $148,000. It is to be paid off in exactly ten years, with monthly payments of $1737.54. What is the APR of this loan? A) 6.25% B) 5.25% C) 7.25% D) 8.25%

Explore our homework questions and answers library

Browseby subject

    • Math
    • Social Sciences
    • Science
    • Business
    • Humanities
    • History
    • Art and Design
    • Tech and Engineering
    • Health and Medicine

Ask a Question

To ask a site support question,click here

Why does it take 30 years to pay off a $150,000 loan, even though you pay $1,000 a month? | Homework.Study.com (2024)

FAQs

Why does it take 30 years to pay off a $150,000 loan, even though you pay $1,000 a month? | Homework.Study.com? ›

In this case, you have a $150,000 loan and are making monthly payments of $1000. Although you are paying more than the minimum required to cover the principal and interest, it still takes 30 years to fully repay the loan. This is because the monthly payment is allocated towards both the principal and the interest.

Why does it take 30 years to pay off $150,000 loan even though you pay 1000 a month? ›

The interest rate on a loan directly affects the duration of a loan. Note: The interest rate is calculated using the hit and trial method. Therefore, it takes 30 years to complete the loan of $150,000 with $1,000 per monthly installment at a 0.585% monthly interest rate.

How long would it take to pay off a $150,000 mortgage? ›

See your monthly payments by interest rate.
InterestMortgage termMonthly payments
6.75%30 years$973
7.00%15 years$1,348
7.00%30 years$998
7.25%15 years$1,369
18 more rows

Why does a loan pay off faster if you make extra payments? ›

When you make an extra payment or a payment that's larger than the required payment, you can designate that the extra funds be applied to principal. Because interest is calculated against the principal balance, paying down the principal in less time on your mortgage reduces the interest you'll pay.

How long would it take to pay off a 30 000 loan? ›

It will take 41 months to pay off $30,000 with payments of $1,000 per month, assuming the average credit card APR of around 18%. The time it takes to repay a balance depends on how often you make payments, how big your payments are and what the interest rate charged by the lender is.

How long does it take to pay off $150000 in student loans? ›

But if you pay off a $150,000 student loan in one year at a 14% APR, your monthly payment will be $13,468. The standard payoff period for a student loan is up to 10 years, and student loan APRs generally range between 5% and 14%. Private student loans tend to have higher maximum APRs than federal loans, however.

Why does it take 30 years to pay off $150 000 loan Quizlet? ›

Why does it take 30 years to pay off $150,000 loan, even though you pay $1000 a month? Even though the principal would be paid off in just over 10 years, it costs the bank a lot of money fund the loan. The rest of the loan is paid out in interest.

What happens if I pay 3 extra mortgage payments a year? ›

When you pay extra on a mortgage, you're paying above and beyond the regular monthly installment. The money you send is meant to apply directly to the loan principal, not the interest. This allows you to pay down your loan sooner and save money on interest.

What is the monthly payment on a $150 000 mortgage for 30 years? ›

A 30-year, $150,000 mortgage at a 7% fixed interest rate will be about $998 per month (not including property taxes or mortgage interest), while a 15-year mortgage at the same rate would cost about $1,348 monthly.

What is the average age people pay off their mortgage? ›

But with nearly two-thirds of retirement-age Americans having paid off their mortgages, it means that the average age they have gotten rid of that debt is likely in their early 60s. Stats from 538.com, for example, suggest the age is around 63.

What happens if I pay $500 extra a month on my mortgage? ›

Making extra payments of $500/month could save you $60,798 in interest over the life of the loan. You could own your house 13 years sooner than under your current payment. These calculations are tools for learning more about the mortgage process and are for educational/estimation purposes only.

Is it bad to pay off a loan too fast? ›

Yes, paying off a personal loan early could temporarily have a negative impact on your credit scores. But any dip in your credit scores will likely be temporary and minor. And it might be worth balancing that risk against the possible benefits of paying off your personal loan early.

What happens if I pay an extra $200 a month on my car loan? ›

Your car payment won't go down if you pay extra, but you'll pay the loan off faster. Paying extra can also save you money on interest depending on how soon you pay the loan off and how high your interest rate is.

How long does it take to pay off a 100K loan? ›

How long does paying off $100K in student loans take? Although the standard repayment plan is typically 10 years, some loans and repayment plans have longer terms, so you could be repaying for 20 or even 30 years.

How long to pay off $15,000 loan? ›

A minimum payment of 3% a month on $15,000 worth of debt means 227 months (almost 19 years) of payments, starting at $450 a month. By the time you've paid off the $15,000, you'll also have paid almost as much in interest ($12,978 if you're paying the average interest rate of 14.96%) as you did in principal.

What would payments be on $100000 loan over 30 years? ›

Monthly payments on a $100,000 mortgage by interest rate

At a 7.00% fixed interest rate, a 30-year $100,000 mortgage may cost you around $665 per month, while a 15-year mortgage has a monthly payment of around $899.

What is the monthly payment on a $150 000 loan? ›

Monthly payments for a $150,000 mortgage
Interest rateMonthly payment (15-year)Monthly payment (30-year)
6.5%$3,484$2,528
6.75%$3,539$2,594
7%$3,595$2,661
7.5%$3,708$2,796

How much is $1,000 mortgage payment for 30 years? ›

Mortgage Payment Table
15 Year Term30 Year Term
Interest RateMonthly PaymentTotal Amount
1.125%$6.04$1,178.69
1.25%$6.10$1,199.71
1.375%$6.15$1,220.95
53 more rows

Top Articles
Latest Posts
Article information

Author: Lilliana Bartoletti

Last Updated:

Views: 6502

Rating: 4.2 / 5 (53 voted)

Reviews: 84% of readers found this page helpful

Author information

Name: Lilliana Bartoletti

Birthday: 1999-11-18

Address: 58866 Tricia Spurs, North Melvinberg, HI 91346-3774

Phone: +50616620367928

Job: Real-Estate Liaison

Hobby: Graffiti, Astronomy, Handball, Magic, Origami, Fashion, Foreign language learning

Introduction: My name is Lilliana Bartoletti, I am a adventurous, pleasant, shiny, beautiful, handsome, zealous, tasty person who loves writing and wants to share my knowledge and understanding with you.