19. Find the Macaulay and Modified durations of an investment that pays $2,000 at the end of year 2 and $3,000 at the end of year 5. Assume a level annual effective interest rate of i = 3%. Be sure to use the correct units for each answer.
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- Assume that at the beginning of the year, you purchase an investment for $6,500 that pays $95 annual income. Also assume the investment's value has increased to $7,050 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.Assume that at the beginning of the year, you purchase an investment for $6,300 that pays $130 annual income. Also assume the investment's value has increased to $6,900 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places. Rate of return % b. Is the rate of return a positive or a negative number? Positive Negativeou can assume that all payments are made at the beginning of the period and use "1" for the "type" argument in the formula. A. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded annually? B B. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded quarterly? 4 5 6 27 28 29 C. Suppose you invest St $ 570 monthly. What is the future value of the investment in 29 years, if interest at 5% is compounded monthly? Question 1 Question 2 + Ready Accessibility: Investigate MAR 17 A W +
- Calculate the future value of an investment if the annual interest rate is 9%, number of payments is 30, and each payment of $1000 is made at the end of the year. A. $102,893 B. $136,308 C. $108,212 O D. $98,234Calculate the future value of the following single amounts. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Initial Investment Annual Rate Interest Compounded Period Invested Future Value 1. $7,400 10 % Annually 7 years $14,420.00 2. 5,400 12 % Semiannually 4 years 3. 8,400 8 % Quarterly 4 yearsThe following investment requires a table factor for a period beyond the table. Calculate the new table factor and the present value (principal). Use Table 11-2. Round your new table factor to five decimal places and your present value to the nearest cent. Compound Amount New Table Factor Term of Nominal Interest Present Investment (years) Rate (%) Compounded Value $36,000 36 7 annually $ Need Help? Read It
- Compute the simple interest INT for the specified length of time and the future value FV at the end of that time (in dollars). Round all answers to the nearest cent. $12,300 is invested for 9 months at 7% per year. INT = $ ___ FV = $ __An investment will pay $21,600 at the end of the first year, $31,600 at the end of the second year, and $51,600 at the end of the third year. (FV of $1. PV of $1. EVA of $1, and PVA of $1) Note: Use the appropriate factor(s) from the tables provided. Required: Determine the present value of this investment using a 9 percent annual interest rate. Note: Round your intermediate calculations and final answer to nearest whole dollar. Present value of investmentAn investment pays $200 at the end of Year I. $250 at the beginning* of Year 2. $387 at the end of Year 4. and $500 at the beginning of Year 6. If other investments of equal Mk earn 7.5% annually. what will be this investments present value and future value?
- Investment If $5000 is invested for 6 years atinterest rate r (as a decimal), compounded annually, the future value of the investment is given byS = 5000(1 + r) 6dollars.a. Find the future value of this investment for selectedinterest rates by completing the following table. b. Graph this function for 0 <= r <= 0.20.c. Compute the future value if the rate is 10% and20%. How much more money is earned at 20%?The following investment requires a table factor for a period beyond the table. Calculate the new table factor and the present value (principal). Use Table 11-2. Round your new table factor to five decimal places and your present value to the nearest cent. CompoundAmount Term ofInvestment (years) NominalRate (%) InterestCompounded New TableFactor PresentValue $36,000 38 7 annually $To calculate the effective rate of return on an investment, the total compound interest earned in 1 year is divided by the _____.