A local bank advertises the following deal: “Pay us $100 a year for 10 years and then we will pay you (or your beneficiaries) $100 a year forever.” Is this a good deal if the interest rate available on other deposits is 8 percent?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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  1. A local bank advertises the following deal: “Pay us $100 a year for 10 years and then we will pay you (or your beneficiaries) $100 a year forever.” Is this a good deal if the interest rate available on other deposits is 8 percent?
  2. Consider an APR of 12% with monthly compounding. What is the EAR (effective annual rate)?
  3. Consider an APR of 12% with monthly compounding. What is the EAR ( effective annual rate)?
  4. Consider an APR of 13.5% with quarterly  compounding. What is the EAR (effective annual rate)?
  5.  Consider an EAR of 13.75% with quarterly  compounding. What is the APR (annual percentage rate)?
  6. Consider an EAR of 18.25% with monthly  compounding. What is the APR (annual percentage rate)?
  7. A bank is offering 12 percent compounded quarterly. If you put $100 in an account, how much will you have at the end of one year? What’s the EAR? How much will you have at the end of two years?
  8. Depending on the issuer, a typical credit card agreement quotes an interest rate of 18 percent APR. Monthly payments are required. What is the actual interest rate you pay on such a credit card?
  9. Consider the following future value problem. The respective cash flows for t = 0, 1, 2, and 3 are $3,000, $2,000, $8,000, and $5,000 and the discount rate is ten percent. What is the future value at t = 4?
  10.  You are offered a signing bonus of $2,000,000 or a future payment of $2,500,000 at the end of three years from now. If you can earn 7% on invested funds, would you take the signing bonus or wait for the future payment?
  11.   What’s the present value of the following uneven cash flow stream: $0 at Time 0, $100 in Year 1 (or at Time 1), $200 in Year 2, $0 in Year 3, and $400 in Year 4 if the interest rate is 8%?
  12.   What is the future value of this cash flow stream: $100 at the end of 1 year, $150 due after 2 years, and $300 due after 3 years if the appropriate interest rate is 15%?
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