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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- 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 Negativeanswer if its true or false 1) Based on the following information calculate the value at time 2 of the investment made at time zero. This future value is equal to 113. discount time investment (years) rate 6% 100 1ou 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…Assume that l2t =0.25% and that l1t = O. If the one-year interest rate is 5% and the two-year interest rate is 5.75%, then i1 is equal to: O A.6% O B. 5.75% O C. 5.50% O D. 5.25%
- 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. $98,234Assume 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.answer if its true or false 1) Based on the following information calculate the value at time 1 of the investment made at time zero. This future value is between 103 and 105. time discount investment (years) rate 6% 100 1
- 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 400Assume that l2t = 0.30% and that it = 0. If the one-year interest rate is 5% and the two-year interest rate is 5.75%, then it+1 equal to: is OA. 6.05% O B. 5.90% O C. 5.30% O D. 5.45%