a. If starting at t≥ 1, increasing t by one year multiplies the present value by b. Set the initial deposit to $10k, the annual interest rate to 5%, and years to compound to 10. Increasing the present value from $10k to $12k will increase the future value in 10 years by: $ LA a larger present value an additional 1+r 1+r r
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- Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A = $19,000, r = 11.5%, t = 4 years The present value that must be invested to get $19,000 after 4 years at an interest rate of 11.5% is $. (Round up to the nearest cent.)Determine the present value P that must be invested to have the future value A at simple interest rate r after time t. A = $5500, r = 7%, t = 4 years (Round up to the nearest cent.)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?
- 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 that one has a present loan of $1,000 and desires to determine what equivalent uniform EOY payments, A, could be obtained from it for 10 years if the nominal interest rate is 20% compounded continuously (M =∞).Use the RSTUV method to obtain the solution. If P dollars are invested at r percent compounded annually, then at the end of 2 years, the amount will have grown to A = P(1 + r)2. At what rate of interest will $1000 grow to $1123.60 in 2 years? %
- A. Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.a. and if the first payment of $10,000 is received at the end of 10 years. Draw a timeline for this question and solve? Timeline is compulsory.nt Use the compound interest formulas A = P and A = Pert to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 4.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) b.What is the accumulated value if the money is compounded quarterly? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) c. What is the accumulated value if the money is compounded monthly? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) d. What is the accumulated value if the money is compounded continuously? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.)Consider a future value of $2,000, 8 years in the future. Assume that the nominal interest rate is 18.00%. Assume that there is semiannual compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with semiannual compounding. Assume that there is quarterly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with quarterly compounding. Suppose now that the cash flow of $2,000 occurs only 1 year in the future. Assume that there is monthly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with monthly compounding.
- 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…Future worth, F, has to be found from a present amount, P, five years from now at an interest rate of 6% per year, compounded monthly. What interest rate must be used in the F/P factor, (F/P,i%,n), when n is 10? How many years will it take an investment to triple if the interest rate is 4% compounded monthly? Question 1 (U Future worth, 5, has to be found from a present amount, P. five years from now at an interest rate of 6% per year, compounded monthly. What interest rate must be used in the F/P factor, (F/P.1%,n), when n is 10? O a) Between 0.020-0.021 O b) None of the answers is correct O c) Between 0.040-0.041 d) Between 0.070-0.071 e) Between 0.010-0.011Q: Suppose you invest $210,000 in an annuity that returns constant annual payments over 6 years, with the first payment one year from now. At an interest rate of 7%, how much is the annual payment you receive? Equivalent problem structure (as a borrower): Suppose you borrow $210,000 to be paid back in constant annual payments over 6 years with the first payment one year from now. At an interest rate of 7%, how much is the annual payment? Please round your answer to the nearest hundredth Open Formula Summary in separate tab Open Glossary in separate tab Show navigation tips C