Consider the following two interest options for an investment of $2000: (A) 6% simple interest. (B) 5% interest compounded annually. After how many years will option B outperform option A.The time it will take for option B to outperform option A is years.

Step 1: Calculate the future value of the investment for option A (simple interest).Future value of…

Answered: Consider the following two interest…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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In planning for your retirement, you would like to withdraw $50,000 per year for 17 years. The first withdrawal will occur 20 years from today. Click here to access the TVM Factor Table Calculator Part a Your answer is incorrect. What amount must you invest today if your return is 10% per year? $ Round entry to the nearest dollar. Tolerance is 14. II
Suppose the term structure of risk-free interest rates is as shown here: a. Calculate the present value of an investment that pays $1,000 in 2 years and $4,000 in 5 years for certain. b. Calculate the present value of receiving $900 per year, with certainty, at the end of the next 5 years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $2,700 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) 2 years 3 years 5 years 7 years 1 year 2.06 2.44 2.64 3.22 3.74 Term Rate (EAR, %) Print Done 10 years 4.25 20 years 5.09 I X t cent.)
You have a choice between receiving $550 now or $570 in six months' time. Current interest rates are 10% p.a. (simple interest). a) As a rational investor, which option would you choose, and why? b) Calculate the minimum interest rate p.a. that would reverse your choice above.
Consider a future value of $2,000, 8 years in the future. Assume that the nominal interest rate is 18.00%. Assume that there is semiannual compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with semiannual compounding. Assume that there is quarterly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with quarterly compounding. Suppose now that the cash flow of $2,000 occurs only 1 year in the future. Assume that there is monthly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with monthly compounding.
(B). An investor must choose between two options. The first option (A) offers AED 10m for AED 2m a year for 5 years. The second option (B) offers AED 11m of AED 1m a year for four years and AED 7m in year 5. (a). Compare the present value of each option by assuming a range of the required rate of return of the investor, say 8%, 9%, 10%, 11%, and 12%. What is your advice?
Consider two interest rate scenarios for investing over next 20 years. In steady scenario A, you get interested of 4% each year. In choppy scenario B, in the first year you get that rate plus 10% but then in next year get that rate minus 10% and so forth. The average rate is the same in each scenario. But for an initial investment of $4000, how much more is A worth than B at the end of the period?
You have the option of four investments: 1. Investment A with an APR of 8% and compounds daily (assume 365 days in a year) 2. Investment B with an APR of 8% and compounds monthly 3. Investment C with an APR of 8.2% and compounds quarterly 4. Investment D with an APR of 8.4% and compounds annually If you want the investment with the highest return, which investment would you choose? Investment A O Investment D Investment C Investment B

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Consider the following two interest options for an investment of $2000: (A) 6% simple interest. (B) 5% interest compounded annually. After how many years will option B outperform option A. The time it will take for option B to outperform option A is years.