Question

7. Find the PV of an annuity payable in arrears of $1,000 p.a. payable quarterly for 25 years at an nominal rate of interest

need 5,6,7

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

Annual Payment = $1,000

Quarterly Payment = $1,000 / 4
Quarterly Payment = $250

Annual Interest Rate = 6.00%
Quarterly Interest Rate = 1.50%

Period = 25 years or 100 quarters

Present Value = $250/1.015 + $250/1.015^2 + … + $250/1.015^99 + $250/1.015^100
Present Value = $250 * (1 - (1/1.015)^100) / 0.015
Present Value = $250 * 51.624704
Present Value = $12,906.18

So, present value of the annuity is $12,906.18

Add a comment
Know the answer?
Add Answer to:
need 5,6,7 7. Find the PV of an annuity payable in arrears of $1,000 p.a. payable...
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
  • Find the future values of the following ordinary annuities: a. PV of $200 paid each 6...

    Find the future values of the following ordinary annuities: a. PV of $200 paid each 6 months for 5 years at a nominal rate of 7% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. b. FV of $100 paid each 3 months for 5 years at a nominal rate of 7% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent c. These annuities receive the same amount of cash...

  • (1 point) An annuity-immediate makes payments of 200 per year payable quarterly for 8 years at...

    (1 point) An annuity-immediate makes payments of 200 per year payable quarterly for 8 years at an effective annual interest rate i = 3%. The accumulated value of this annuity is AV = (1 point) An annuity makes payments of 1700 at the end of every 9 years over 81 years at a nominal annual interest rate of 5.6% compounded quarterly. The present value of this annuity is PV =

  • c) A loan of £100 nominal is issued with interest payments (coupon) payable at 8% p.a....

    c) A loan of £100 nominal is issued with interest payments (coupon) payable at 8% p.a. monthly in arrears for 7 years, with the amount of the loan repayable at the end of the term. For an investor who is liable to income tax at a rate of 22%, but not capital gains tax, with a required redemption yield of 6%pa., calculate the price the investor should pay for the loan. [3 marks]

  • d) A loan of £100 nominal is issued with interest payments (coupon) payable at 6% p.a....

    d) A loan of £100 nominal is issued with interest payments (coupon) payable at 6% p.a. monthly in arrears for 7 years, with the amount of the loan repayable at the end of the term. For an investor who is liable to income tax at a rate of 22%, and capital gains tax at 30% i) Calculate the price an investor should pay for the loan to achieve a required net redemption yield of 6%pa. [4 marks] ) Calculate the...

  • d) A loan of £100 nominal is issued with interest payments (coupon) payable at 6% p.a....

    d) A loan of £100 nominal is issued with interest payments (coupon) payable at 6% p.a. monthly in arrears for 7 years, with the amount of the loan repayable at the end of the term. For an investor who is liable to income tax at a rate of 22%, and capital gains tax at 30% i) Calculate the price an investor should pay for the loan to achieve a required net redemption yield of 6%pa. [4 marks] ) Calculate the...

  • 13. Problem 5.25 (Future Value of an Annuity) eBook Find the future values of the following...

    13. Problem 5.25 (Future Value of an Annuity) eBook Find the future values of the following ordinary annuities: a. FV of $400 paid each 6 months for 5 years at a nominal rate of 15% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. b. FV of $200 paid each 3 months for 5 years at a nominal rate of 15% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent....

  • Q1 - Describe N,I/Y,PV,PMT, and FV. Q2 – Why is there one negative sign among the...

    Q1 - Describe N,I/Y,PV,PMT, and FV. Q2 – Why is there one negative sign among the last three listed in Q1? Q3 – What is the difference between compounding and discounting? Q4 – What is an annuity? What are the different types of annuities? When are payments made? Q5 – What is a perpetuity? What is the relationship between PV and Interest? Q6 – Does FV get larger or smaller based off monthly compounding compared to quarterly compounding? Q7 –...

  • Future Value of an Annuity for Various Compounding Periods Find the future values of the following...

    Future Value of an Annuity for Various Compounding Periods Find the future values of the following ordinary annuities: FV of $800 paid each 6 months for 7 years at a nominal rate of 12%, compounded semiannually. Round your answer to the nearest cent. $    FV of $400 paid each 3 months for 7 years at a nominal rate of 12%, compounded quarterly. Round your answer to the nearest cent. $   

  • Please show the formula and answer in Excel f.   Find the PV of an ordinary annuity...

    Please show the formula and answer in Excel f.   Find the PV of an ordinary annuity that pays $1,000 at the end of each of the next 5 years if the interest rate is 15%. Then find the FV of that same annuity. Inputs: PMT = $      1,000 N = 5 I/YR = 15% PV: Use function wizard (PV) PV   = FV: Use function wizard (FV) FV   =

  • Time Value of Money Problems Amt./Annuity PV/FV 1.a. The Lexington Development Co. has a $10,000 note...

    Time Value of Money Problems Amt./Annuity PV/FV 1.a. The Lexington Development Co. has a $10,000 note receivable from a customer due in three years. How much is it worth today if the interest rate is 9%? 1.b. How is it worth today if the interest rate is 12% compounded quarterly? 2.a.What will a deposit of $4,500 left in the bank be worth if left in the in the bank for nine years at 7% interest? 2.b.If left for six years...

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