Suppose an agent has $100,000 today that he wants to save for 10 years. Compare the following two savings plans. Bank A offers the following alternative:For the first $50,000 the agent obtains 8% p.a. (per annum) for 10 years. For the other amount he obtains 4% p.a. for the first four years. Then he obtains 2% p.a. Bank B offers the following alternative:The interest in year 1 is 2%, in year 2 is 4%,in year 3 is 8%, in year 4 is 30%, then for years 5 to 10 the agent obtains 2% p.a. For both plans, interest payments are reinvested. (a)The agent maximizes the amount at t=10. Which plan is better? How much more can he spend at t=10, if he chooses the better one? (b)Suppose bank B wants to match the offer of bank A. Interest rates for years 2 to 10 are as above. What interest rate for the first year must bank B offer the agent so that he gets the same amount as from bank A?

Suppose an agent has $100,000 today that he wants to save for 10 years. Compare the following two savings plans. Bank A offers the following alternative:For the first $50,000 the agent obtains 8% p.a. (per annum) for 10 years. For the other amount he obtains 4% p.a. for the first four years. Then he obtains 2% p.a. Bank B offers the following alternative:The interest in year 1 is 2%, in year 2 is 4%,in year 3 is 8%, in year 4 is 30%, then for years 5 to 10 the agent obtains 2% p.a. For both plans, interest payments are reinvested. (a)The agent maximizes the amount at t=10. Which plan is better? How much more can he spend at t=10, if he chooses the better one? (b)Suppose bank B wants to match the offer of bank A. Interest rates for years 2 to 10 are as above. What interest rate for the first year must bank B offer the agent so that he gets the same amount as from bank A?

Principles of Accounting Volume 2

19th Edition

ISBN:9781947172609

Author:OpenStax

Publisher:OpenStax

Chapter11: Capital Budgeting Decisions

Section: Chapter Questions

Problem 3PB: Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate...

See similar textbooks

Similar questions

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?
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.
Suppose an agent has $100,000 today that he wants to save for 10 years. Compare the following two savings plans. Bank A offers the following alternative: For the first $50,000 the agent obtains 8% p.a. (per annum) for 10 years. For the other amount he obtains 4% p.a. for the first four years. Then he obtains 2% p.a. Bank B offers the following alternative: The interest in year 1 is 2%, in year 2 is 4%, in year 3 is 8%, in year 4 is 30%, then for years 5 to 10 the agent obtains 2% p.a. For both plans, interest payments are reinvested. (a) The agent maximizes the amount at t=10. Which plan is better? How much more can he spend at t=10, if he chooses the better one? (b) Suppose bank B wants to match the offer of bank A. Interest rates for years 2 to 10 are as above. What interest rate for the first year must bank B offer the agent so that he gets the same amount as from bank A?
suppose you are given an option to invest in two annuity schemes scheme A and scheme B which of the options would you choose? scheme A scheme B Neither Both
a) Suppose you have $10,000 to invest in a savings account, and you have two investment options available to you. Option A is a savings account that pays an annual interest rate of 5% with compounding annually, while option B is a savings account that pays an annual interest rate of 4.5% with compounding quarterly. Both options have a 5-year term. Which option should you choose to maximize your return on investment? Why? b) Which factor do you think played a critical role in your investment decision making?
Suppose you want to make an investment of $5,000, and you have two funds to choose from: Fund A and Fund B. Fund A will give you a return of $5,250 after a year. Fund B will give you a return of $1,200 per year in 5 annual installments. Consider the annual interest rate to be 2%. Based on the present value of the two future inflows, which of the two funds should you choose to invest your money in?
You are looking to invest your savings and want to earn a 10% annualized return. You can choose from the following three options:Project A: You will receive $100 at the end of two years.Project B: You will receive $50 at the end of one year and another $50 at the end of two years.Project C: You will receive $80 at the end of one year and another $20 at the end of two years.Calculate the present value of each option, which option should you pick?
You plan to invest $10,000 for 180 days. Your bank offers a rate of 2.60% on 90-day GICS and 2.85% on 180-day GICS. How much more interest will you earn if you purchase a single 180-day GIC instead of two consecutive 90-day GICS? Remember that the interest earned from the first 90-day GIC will be invested in the second 90-day GIC along with the principal. Express your answer to 2 decimal places but do not include the $ sign. Your Answer: Answer
An investment pays you $100 at the end of each of the next 3 years. The investment will then pay you $200 at the end of year 4, $300 at the end of year 5, and $500 at the end of year 6. If the rate of interest earned on the investment is 8%, what is the present value of this investment? What is its future value? How do you solve this with excel?
You deposit $1,000 one year and $2000 next year starting year 1 until year 30 with an interest rate of 5% one year and 7% other year. How much money will you have at the end of year thirty if there are different interest rates after year 30 as shown in the diagram below?
An individual wishes to borrow $10,000 for a year and is offered the following alternatives: a. A 10 percent loan discounted in abvances b. An 11 percent straight loan (interest paid at maturity) Which loan is more expensive?
You are considering two savings options. Both options offer a rate of return of 8.2 percent. The first option is to save $1,500, $1,500, and $2,000 at the end of each year for the next three years, respectively. The other option is to save one lump sum amount today. You want to have the same balance in your savings account at the end of the three years, regardless of the savings method you select. If you select the lump sum method, how much do you need to save today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)