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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- answer 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 1Assume 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 +
- 6. 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. $98,234
- 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 NegativeAssume 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.Assume 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%Please show working Please answer a , b and c a. An investment will pay $50 at the end of each of the next 3 years, $200 at the end of Year 4, $350 at the end of Year 5, and $500 at the end of Year 6. If other investments of equal risk earn 9% annually, what is its present value? Its future value? Do not round intermediate calculations. Round your answers to the nearest cent. Present value: $ __________ Future value: $ ___________ b. Your parents will retire in 20 years. They currently have $340,000 saved, and they think they will need $1,250,000 at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Round your answer to two decimal places. ___________ % c. If you deposit $2,000 in a bank account that pays 8% interest annually, how much will be in your account after 5 years? Do not round intermediate calculations. Round your answer to the nearest cent.