Question

You took out a loan that must be repaid with level payments at the end of each year. The loan has an annual effective rate of

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Suppose we are at end of 9th year

Outstanding balance at the end of year 9 (PV) = (-$22,000)

Outstanding balance at the end of year 12 (FV) = $15,000

No of annual payments made from year 9 to year 12 (N) = 3

Effective annual interest rate (I) = 8%

Therefore annual payment (PMT) = ?

Using financial calculator or PMT function in excel,

Annual payment (PMT) = $ 3,916.23

(Please note that PV is taken negative. Its like assuming loan is given at the end of 9th year and repaid at the end of 12th year.)

Your answer was very close to correct answer! ;)

Thumbs up please if satisfied. Thanks :)

Comment if further doubts in above.

Add a comment
Know the answer?
Add Answer to:
You took out a loan that must be repaid with level payments at the end of...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. A $12,000 loan is being repaid with $1000 payments at the end of each year...

    1. A $12,000 loan is being repaid with $1000 payments at the end of each year for as long as necessary, plus a smaller payment one year after the last $1000 payment. The first payment is due one year after the loan is taken out, and the effective annual interest rate is 6%. Calculate the balance on the loan immediately following the ninth payment

  • Given the following partial amortization table for a loan repaid in level payments. Fill in the...

    Given the following partial amortization table for a loan repaid in level payments. Fill in the rest of the table (keep adding rows until the loan is paid off) and use it to answer the following questions: (Round the entries in the table off to two decimal places. Give your answers to 2 decimal places but keep 5 decimals for intermediate computations.) Partial Amortization Table Principal Payment Interest Reduction Time Outstanding Balance ? 0 1 ? 4227.441 21072.561 2277.001 ?...

  • Problem 2.7 A loan of $8,000 must be repaid with 6 year-end level payments (i.e., constant...

    Problem 2.7 A loan of $8,000 must be repaid with 6 year-end level payments (i.e., constant pay- ments). The effective annual loan rate is 11%. What is the annual payment? Problem 2.8 You make a deposit now into an account earning 6% annually in return for a payment of 250 at the end of each of the next 8 years. What should you deposit today? Problem 2.9 An annuity immediate has semi-annual payments of 1,000 for 25 years at a...

  • A loan of 100,000 is to be repaid in 4 level annual payments starting one year...

    A loan of 100,000 is to be repaid in 4 level annual payments starting one year after the loan date. For the first 2 years, the annual interest rate is 8%; for the last 2 years, the annual interest rate is 4%. Find the annual payment and complete the loan amortization table. t Payment Interest Due Principal Repaid Outstanding Balance 0 100,000 1 2 3 4

  • A loan is repaid with annual year-end payments of 15,000. The effective rate of interest is...

    A loan is repaid with annual year-end payments of 15,000. The effective rate of interest is 3%. How much interest is paid in the final payment? Note: you are not given the original amount of the loan nor are you given the number of payments. This problem, however, can be solved.

  • A 15 year loan of $1000 is repaid with payments at the end of each year....

    A 15 year loan of $1000 is repaid with payments at the end of each year. Each of the first ten payments is 120% of the amount of interest due. Each of the last five payment is $X. The lender charges interest at an annual effective rate of 8%. Calculate X.

  • A 10-year loan of 2000 is to be repaid with payments at the end of each...

    A 10-year loan of 2000 is to be repaid with payments at the end of each year. It can be repaid under the following two options: (i) Equal annual payments at an annual effective interest rate of 5%. (ii) Installments of 200 each year plus interest on the unpaid balance at an annual effective interest rate of i. The sum of the payments under option (i) equals the sum of the payments under option (ii). Calculate i.

  • Helen borrows $20000 to be repaid over 15 years with level annual payments with an annual...

    Helen borrows $20000 to be repaid over 15 years with level annual payments with an annual effective interest rate of 8%. The first payment is due one year after she takes out the loan. Helen pays an additional $4000 at the end of year 9 (in addition to her normal payment). At that time (the end of year 9) she negotiates to pay off the remaining principal at the end of year 14 with a sinking fund. The sinking fund...

  • 5) A loan is being repaid by 2n level payments (with the first payment 1 period after the start of the loan) at an...

    5) A loan is being repaid by 2n level payments (with the first payment 1 period after the start of the loan) at an effective interest rate of j per period. Just after the nth payment, the outstanding balance on the loan is 3/4 of the initial outstanding balance on the loan. a) Find vj". b) What is the ratio of interest to principal reduction in the n+1st payment? (i.e In+1/PR.n+1)

  • You take out an $8,600 car loan that calls for 48 monthly payments starting after 1...

    You take out an $8,600 car loan that calls for 48 monthly payments starting after 1 month at an APR of 6%. a. What is your monthly payment? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What is the effective annual interest rate on the loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) c. Now assume the payments are made in four annual year-end installments. What...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT