Find the future value of OMR10,000 invested now after five years if the annual interest rate is 8 percent. a. What would be the future value if the interest rate is a simple interest rate? b. What would be the future value if the interest rate is a compound interest rate?
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- 2. Find the future value of OMR10,000 invested now after five years if the annual interest rate is 8 percent. a. What would be the future value if the interest rate is a simple interest rate? b. What would be the future value if the interest rate is a compound interest rate?What is the value of the continuously compounded nominal interest rate r if the present value of 104 to be recieved after one year is the same as the present value of 110 to be received after two years? Please solve by hand and show all the steps of answer in order me to understand it at best :)Solve the questions below: a. What is the future value of $1,750 in 3 years at an interest rate of 4 percent? b. What is the future value of $1,750 in 3 years at an interest rate of 5 percent? c. What is the future value of $1,750 in 3 years at an interest rate of 6 percent? d. What is the present value of $2,350 in 5 years at an interest rate of 3 percent? e. What is the present value of $2,350 in 5 years at an interest rate of 4 percent?
- Suppose the interest rate is 3.6% b. Having $650 in one year is equivalent to having what amount today? c. Which would you prefer, $650 today or $650 in one year? Does your answer depend on when you need the money? Why or why not? **round to the nearest cent**4) Suppose you will receive OMR 1 each year for the 3 coming year the Interest Rate is 10% Question: a. What is the Future Value of those payments?Suppose the risk - free interest rate is 4.2%.a. Having $200 today is equivalent to having what amount in one year?b. Having $200 in one year is equivalent to having what amount today?c. Which would you prefer, $200 today or $200 in one year? Does your answer depend on when you need the money? Why or why not?a. Having $200 today is equivalent to having what amount in one year?Having $200 today is equivalent to having Sin one year. (Round to the nearest cent.)
- 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…Suppose you are going to receive $13,500 per year for five years. The interest rate is 8.4%a. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due?b. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are annuity due?c. Which has the highest present value (future value), the ordinary annuity or annuity due?What is the present value for a future value of FV=$500,000 at time t=36 if the interest rate is r=0.05 (e.g., r=5%)? What is the interest rate “r” if PV=$100 and the FV=$350 in year t=12? What is the interest rate “r” if PV=$1250 and the FV=$2150 in year t=10? How long will it take to double your investment if the interest rate is r=0.06 (r=6%)? How long will it take to increase your investment by 2.5 times if the interest rate is r=0.14 (r=14%)? Which is the better option if the interest rate is r=0.10 (r=10%)? Show all work used to arrive at your answer. a. Option I: Receive $1000 today at time t=0. b. Option II: Receive $1615 at time t=5.10) Which is the better option if the interest rate is r=0.07 (r=7%)? Show all work used to arrive at your answer. a. Option I: Receive $510 today at time t=0. b. Option II: Receive $1000 at time t=10.
- b. Calculate the present value of $5,000 received five years from today if your investment pays 6% compounded annually and 8% compounded annually. What do your answers tell you about the relation between present values and interest rates. Answer: b. (1) PV =Suppose the interest rate is3.6%. a. Having $650 today is equivalent to having what amount in one year? b. Having $650 in one year is equivalent to having what amount today? c. Which would you prefer, $650 today or $650 in one year? Does your answer depend on when you need the money? Why or why not? a. Having $650 today is equivalent to having what amount in one year? It is equivalent to $____. (Round to the nearest cent.)Suppose the risk-free interest rate is 4.6%. Having $600 today is equivalent to having what amount in one year? (Round to the nearestcent.) Having $600 in one year is equivalent to having what amount today? (Round to the nearestcent.) Which would you prefer, $600 today or $600 in one year? Does your answer depend on when you need the money? Why or why not? (Round to the nearestcent.)