A company would like to have $400,000 in 6 years. How much should be invested semiannually into an account paying 3.6% compounded semiannually?
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- Classify the financial problem. Assume a 4% interest rate compounded annually. Find the value of a $1,000 certificate in 6 years. A. amortizationB.ordinary annuity C.present valueD. sinking fundE.future value Answer the question. (Round your answer to the nearest cent.)Which is the correct answer? Use the following table for this question Present value of an Annuity of $1 Periods 8% 9% 10% 1 .926 .917 .909 2 1.783 1.759 1.736 3 2.577 2.531 2.487 A company has a minimum required rate of return of 9% and is considering investing in a project which costs $25,000 and is expected to generate cash inflows of $10,000 at the end of each year for three years. The net presentvalue of this project is: a. $25,310 b. $15,000 c. $9,170 d. $5,310Classify the financial problem. Assume a 9% interest rate compounded annually. What annual deposit is necessary to give $10,000 in 6 years? A.future valueB.amortization C.sinking fundD.present valueE.ordinary annuity Answer the question. (Round your answer to the nearest cent.)
- 6. A company wishes to borrow $7500 000 for 8 years. One source will lend the money at j2 = 9% if it is amortized by semi-annual payments. A second source will lend the money at j2 returned in a lump sum at the end of 5 years. If the second source is used, in order to pay back thel principal, a sinking fund will be established by semi-annual deposits that accumulate at j2 = 3.9%. = 7.6% if only the interest is paid semi-annually and the principal is (a) What is the semi-annual cost under the amortization plan? (b) What is the semi-annual cost under the sinking fund plan? (c) Which plan should the company choose, and how much can they save semi- annually by using the better plan?Suppose you receive cashflows of $10 at year 1, $12 at year 2, $14 at year 3 and $16 at year 4. What would be the value of the cashflows at year 2 at a 5% annual interest rate? MUST SHOW FULL WORK (NO EXCELL) a. 38.3458 b. 50.3458 c. 42.0000 d. 12.0000 e. 49.3621SUBJECT: ENGINEERING ECONOMICS (a) Identify the Given and the Unknown or what is being asked in the problem (b)Provide the formula to be used (c)Show the complete solution. The final answer is already provided. What is the value of a perpetuity of P100 per year if the discount rate is 5% and the cash flows do not begin until two years from now? Answer: P = P1,814.05
- Example 26a (Varying Force of Interest) A fund earns interest at a force of interest 8, = kt . A deposit of RM100 at time t=0 will grow to RM250 at the end of 5 years. Determine k.Please break down step by step how the circled figure was calculated. How did they get 6.41766? Annual withdrawal = $31,500 Period 10 years Interest rate= 9% S a) First withdrawal at year-end. Present value of cash flows = Annual withdrawal * present value of an rdinary annuity Present value of cash flows $31,500 x 6.41766 = $202,156.29 C Explanation: present value of an ordinary annuity 10 years, 9% = 6.41766 Present value of cash flows = $202,1565. A debt of $250,000 is to be repaid after 5 years. If the interest is charged at 5% compounded semi-annually, a sinking fund is created at a rate of 6% compounded semi-annually. Find: a) the semi-annual cost by the sinking fund method; b) the semi-annual cost by amortization; c) Did the borrower made the right decision in setting up a sinking fund? Justify your answer.
- 2. If $14,000 had been invested in the Fictious Fund on June 30, 1995, then on June 30, 2005 the investment would have been worth $55,177.52. What interest rate compounded annually would this investment have earned? Round to the nearest hundredth of a percent. а. 14.70% b. 39.41% С. 29.41% d. 13.71% е. 29.41% 3. A credit card bill due on April 5 showed a balance of $263. The card holder forgot to pay the bill until the 20th of the month, but paid the full amount of $263 at that time. In the mean time, the card was used to make purchases of $138 on the 10th of the month and $74 on the 20th of the month. What was the average daily balance for the billing period? а. $362.50 b. $95.97 с. $166.07 d. $184.27The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(rt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?6. Computing Future Value of Annual Deposits. What amount would you have if you L deposited $2,500 a year for 30 years at 8 percent (compounded annually)? (Use time value of money calculations in Chapter 1 Appendix.) e here to search 17 to 4M to 144 16 40 73 14 I01 12 米 E T 00 86 R 4. 24 3.