After considering a number of investment opportunities, you have decided that you should be able to earn a real return of 2% on your P100,000 in savings over the coming year. If the expected rate of inflation is expected to be 3.5% over the coming year, what nominal rate of return must you anticipate in order to earn the 2% real rate of return? Nominal rate= (1 + Real rate) + (1 + Inflation rate) - 1 = Real rate + Inflation rate + (Real rate x Inflation rate)
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- Optimizing economic agents use the real interest rate when thinking about the economic costs and returns of a loan. Suppose the average rate paid by banks on savings accounts is 0.65% at a time when inflation is around 1.45%. For the average saver, the real rate of interest on his or her savings is %. (Round your response to two decimal places and use a minus sign if necessary.) If banks expect that the rate of inflation in the coming year will be 4.45% and they want a real return of 5.5% on a certain category of loans, then the nominal rate they should charge borrowers on those loans is %. (Round your response to two decimal places. If the economy experiences an unexpectedly high rate of inflation, the group that would tend to benefit is O A. debtors (people or businesses who owe money) O B. creditors (people or institutions that are owed money) O C. both would benefit equally. O D. neither benefits.a) You invest 155 000 TL for a year. At the end the year, you have 174 375 TL net in your account. If the inflation realizes at %10 fot this year, calculate real rate of return? Can real interest rates be negative? Give a simple example?You have RM 5,000.00 you want to invest for the next 45 years until retirement. You are offered an investment plan that will pay you 6 percent per year for the next 15 years and 10 percent per year for the last 30 years.a) Explain the time value of money principleb) Identify the underlying assumption of the time value of money principlec) Draw a graph that illustrates the relationship between interest rates and the present value of RM 1,000.00 to be received in one year.d) Suggest how you can minimize the amount of cash you must invest in order to reach your retirement goal.e) Compute the amount you will have at the end of the 45 years.f) Calculate the amount you would have if the investment plan pays 10 percent for the first 15 years and 6 percent per year for the next 30 years.
- Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A= $4000.00 r=13.0% t=39 weeksYou are researching interest rates and their forecasts. Your research provides you with the following: 1-year rate = 6% 2-year rate = 6.125% 3-year rate = 8.5% 1-year rate, 2 years from now = 6.5% Assuming you can borrow $1 million, can you use this interest rate information to earn some risk-free profit. if yes, compute the profit. Show detailed workings. Assume that the pure expectations theory applies.Calculating Rates of Return Suppose an investment offers to quadruple your money in12 months (don’t believe it). What rate of return per quarter are you being offered?
- Suppose the term structure of risk-free interest rates is as shown below: Term Rate (EAR %) 1 year 1.98 2 years 2.35 3 years 2.63 5 years 3.23 ← 7 years 3.84 10 years 4.13 20 years 4.99 a. Calculate the present value of an investment that pays $5,000 in two years and $2,000 in five years for certain. b. Calculate the present value of receiving $400 per year, with certainty, at the end of the next five 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 four would be the average rate in year three and year five) c. Calculate the present value of receiving $2,300 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) a. Calculate the present value of an investment that pays $5,000 in two years and $2,000 in five years for certain. The present value of the investment is $. (Round to the nearest…Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A = $19,000, r = 11.5%, t = 4 years The present value that must be invested to get $19,000 after 4 years at an interest rate of 11.5% is $. (Round up to the nearest cent.)Optimizing economic agents use the real interest rate when thinking about the economic costs and returns of a loan. Suppose the average rate paid by banks on savings accounts is 0.45% at a time when infialion is around 0 9% For the average saver, the real rate of interest on his or her savings is % (Round your response to two decimal places and use a minus sign if necessay.) Il banks expect that the rate of inflation in the coming year will be 3.9% and they want a real return of 8% on a certain category of loans, then the nominal rate they should charge borrowers on those loans is %. (Round your response to two decimal places) 11 the economy experiences an unexpectedly high rate of inflation, the group that would tend to benefit is O A. creditors (people or institutions that are owed money). O B. deblors (pcople or businesses who owe moncy). OC. both would benefit cgqually O D. neilher bencfits.
- Q: Suppose you invest $210,000 in an annuity that returns constant annual payments over 6 years, with the first payment one year from now. At an interest rate of 7%, how much is the annual payment you receive? Equivalent problem structure (as a borrower): Suppose you borrow $210,000 to be paid back in constant annual payments over 6 years with the first payment one year from now. At an interest rate of 7%, how much is the annual payment? Please round your answer to the nearest hundredth Open Formula Summary in separate tab Open Glossary in separate tab Show navigation tips CAssume you invest $5,100 today in an investment that promises to return $6,928 in exactly 10 years. a. Use the present-value technique to estimate the IRR on this investment. b. If a minimum annual return of 9% is required, would you recommend this investment? #69 Part 1 a. The IRR of the investment is enter your response here%. (Round to the nearest whole percent.) Part 2 b. If a minimum return of 9% is required, would you recommend this investment? (Select the best choice below.) A. No, because this investment yields less than the minimum required return of 9%. B. Yes, because a minimum required return of 9% does not compensate for an investment that lasts longer than one year. C. No, because a minimum required return of 9% is an arbitrary choice for an investment of this risk level. D. Yes, because this investment yields more than the minimum required return of 9%4. You are planning to invest OMR 2,500 today for three years at a nominal interest rate of 9 percent with annual compounding. a) What would be the future value of your investment? b) Now assume that inflation is expected to be 3 percent per year over the same three-year period.What would be the investment’s future value in terms of purchasing power? c) What would be the investment’s future value in terms of purchasing power if inflation occurs at a 9 percent annual rate?