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- 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.What interest rate compounded continuosly did a $15000 investment earn if it accumulated to $18000 in 5 year?which of the following investments that pay will $5000 in 12 years have a higher price today? A. The security that earns an interest rate it 8.25% B. The security that earns an interest rate of 5.50%?
- 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?(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?Determine the present value P that must be invested to have the future value A at simple interest rate rather time A = $4000.00, r= 11.0%, t = 6 months
- (Solving for i) At what annual interest rate, compounded annually, would $520 have to be invested for it to grow to $1,925.13 in11 years?For the following exercise, use the compound interest formula, A(t) = P 1 + r n nt , where money is measured in dollars.After a certain number of years, the value of an investment account is represented by the expression 10,950 1 + 0.03 2 24 . How many years had the account been accumulating interest? yrYou deposit $2X today, $3X one year from now and $3X two years from now. If there are different annual compounding interest rates per period as shown in the diagram below and if you had $19803 at the end of year 3, what is the value of X?
- 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.An investment is represented by the equation A(t)=10,250(1+ 0.04/12)120 How many years has the account been accumulating interest?Compute the number of years (t) if future value (FV) = $5575, present value (FV) = $1812, and interest rate (r) = 9.1%,
