Present value Assume that time is measured in years and that interest rates are constant. A cashflow of amount £1000 is paid each year, with the first payment made at time 1 and the last paymentmade at time 20.Using a constant effective interest rate of 7.3% per annum, calculate the present value at time 0 of the cashflows.Give your answer to 2 decimal places.

Annual cashflow (CF) = £1000 Total duration (n) = 20 years Interest rate (r) = 7.3%

Answered: Assume that time is measured in years…

Principles of Accounting Volume 2

19th Edition

ISBN:9781947172609

Author:OpenStax

Publisher:OpenStax

Chapter11: Capital Budgeting Decisions

Section: Chapter Questions

Problem 8EA: You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how...

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You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.
Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?
(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
You put $600 in the bank for 3 years at 15%. A. If Interest Is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the third year. B. Use the future value of $1 table In Appendix B and verify that your answer is correct.
You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuity
Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?
Assume that an investment of 100,000 produces a net cash flow of 60,000 per year for two years. The discount factor for year 1 is 0.89 and for year 2 is 0.80. The NPV is a. 0 b. 6,800 c. 1,400 d. (4,000)
Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?
Assume that time is measured in years and that interest rates are constant. A cashflow of amount £1000 is paid each year, with the first payment made at time 1 and the last payment made at time 20. Using a constant effective interest rate of 3% per annum, calculate the present value at time 0 of the cashflows.
You will receive $100 one year from today and another $100 two years from today. The interest rate for the first year is 1%, but rates are expected to rise to 5% in the second year. What is the present value of the cash flows? Round your answer to two decimal places.
Assume that time is measured in years. Calculate the total present value at time 0 of a payment of £257 paid at time 4 and a payment of £67 paid at time 12, using an interest rate of 5% per annum effective.
What is the difference in present value between a perpetuity that pays $500 per year and an ordinary annuity that pays $500 per year for 23 years? Assume a discount rate of 7% and cash flows at the end of the period. Enter your answer as a number rounded to 2 decimal places.

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