If the interest rate is 6%, then the future value of a two-year investment of $1,000 is $1,012.36. a. True. b. False.
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- 7. Future values (S2.1) Compute the future value of a $100 investment for the following combinations of rates and times. = 6%, t = 10 years. b. r= 6%, t = 20 years. c. r = 4%, t = 10 years. d. r = 4%, t = 20 years. a. r =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 NegativeTrestle Corporation wants to purchase a new finishing machine. They currently have an old machine, which is operable for five more years and is expected to have a zero-disposal value at the end of five years. If the company buys the new machine, the old machine will be sold now for $95,000 (book value is $75,000). The new machine will cost $635,000 and will be depreciated for tax purposes on a straight-line basis over its useful life of 5 years. The new machine will not have a salvage value and will not be sold after its useful life. An additional cash investment in working capital of $25,000 will be required if the new machine is purchased. The investment is expected to net $80,000 in before tax cash inflows during the first year of operation and $235,000 each additional year of use. These cash flows do not include depreciation and are recognized at the end of each year. The working capital investment will not be recovered at the end of the asset's life. The company's tax rate is 32%.
- ou 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 +Assume that at the beginning of the year, you purchase an investment for $7,200 that pays $100 annual income. Also assume the investment's value has decreased to $6,800 by the end of the year. (a) What is the rate of return for this investment? (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 negative number? Positive O Negative6. If the effective interest rate is i per period and you invest b dollars at time 0, then the value at time n is b(1 + i)”. For example, if at time 0 you invest $100 at an effective interest rate of 6% per year, then the value at time 1 is $100(1+0.06) = $106. dollars. At time 2, the value will be $100 (1 + 0.06)² = $112.36. Similarly, the present value (value at time 0) of $100 received 2 years from now would be $100(1+0.06)-²≈ $88.99. Sometimes it's convenient to define d = 1/(1 + i) so that we would have $100(1+i)n = $100d". If the interest rate per year is i compounded semiannually, then the effective annual interest rate is (¹ + 2)²³ - 1₁ 1. For example, if the interest rate is 6% per year compounded semiannually, the effective annual interest rate is 1 + .06 2 2 - 1 ≈ 6.09%. If the interest rate per year is i compounded quarterly, then the effective annual interest rate is 4 (¹ + 4) * - 1 1. (a) If the interest rate is 6% per year compounded quarterly, what is the effective…
- Please respond b, c, d, and e if possible.Assume that you will receive $2500 at the end of 6 years and want to know the present value (PV) of that future sum. Assuming a positive interest rate (required rate of return), which of the following is a possible number for the present value of the $2500? Even without knowing the interest rate, it is possible to answer this question. O A. $2742.53 B. $2632.45 O C. $1967.25 OD. $2572.50 O E. None of the above is a possible number.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.
- j. Find the PV and the FV of an investment that makes the following end-of-year payments. The interest rate is 8%. Year 1 $100, Year 2 $200, Year 3 $400 Year Payment 1 100 2 200 3 400 Rate 8% To find the PV, use the NPV function: Pv= $581.59 Year Payment x (1+ I)^(N- t) = FV 1 100 2 200 3 400According to the Rule of 72, what must the return on an investment be to double an initial investment of $1,000 in 7 years? Multiple Choice 10.41% 2% 8.63% 10.29% 7.2% Show all steps of calculation and formulas if necessaryAssume that at the beginning of the year, you purchase an investment for $2,500 that pays $67 annual income. Also assume that the investment's value has decreased to $2,350 at the end of the year. a. What is the rate of return for this investment? b. Is the rate of return a positive or a negative number? Complete this question by entering your answers in the tabs below. Req 1 Req 2 What is the rate of return for this investment? Note: Enter your answer as a percent rounded to 2 decimal places. Input the amount as a positive value. Rate of return % Req 1 Req 2 >