Year 0-4: $2000 at EOY 0 and decreases $200 each year (cash outflow) Year 6-10: $C at EOY 6 and increases by $C each year (Cash inflow) a) Find C so that the cash outflows and inflows are equivalent. Use i = 7%/year compounded monthly. b) Suppose that the interest changes to i = 9% /year compounded annually after EOY 4. Find C.
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Year 0-4: $2000 at EOY 0 and decreases $200 each year (
a) Find C so that the cash outflows and inflows are equivalent. Use i = 7%/year compounded monthly.
b) Suppose that the interest changes to i = 9% /year compounded annually after EOY 4. Find C.
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- (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%?A certain some of money P draws interest compounded continuously. If a certain time there are Po dollars in the account, determine the time when the financial attains the value of 2Po dollars if the annual interest rate at 2%The 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?
- Find the P and F values of a certain transaction that has an interest of 12% per year and rate of 10% per payment. Draw the cash flow diagram. 1st year-8th year (respectively): P0, P1000, P1100, P1210, P1331, P1464.10, no payment for 7th year"Assume that the interest rate is 8.5% per year and you expect to receive the following stream of annual cash flows (The year 0 cash flow occurs today and the year 4 cash flow occurs exactly 4 years from today): (Year 0: $15,100); (Year 1: $21,100); (Year 2: $12,700): (Year 3: $19,250): (Year 4: $9,550); What is the current Present Value (PVO) of the stream of cash flows?" a)"$68,013- b)"$67,297" c)"$77,700 d)"$62,025" e)$64,399 f)$68,643"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. 49.3621
- 4. A set of cash flows are given in the table below. Using the principles of equivalence, determine the value "Y" for an interest rate of 10% compounded annually to make a break-even. Year 1 2 3 4 5-10 Cash flow in $ -5,000 00 0-1,000 YConsider the following sequence of year-end cash flows: EOY 1 3 Cash Flow $9,000 $14,000 $19,000 $24,000 $29.000 What is the uniform annual equivalent if the interest rate is 7% per year? Click the icon to view the interest and annuity table for discrete compounding when i=7% per year. Choose the correct answer below. O A. $18,325 O B. $19,000 O C. $14,636 O D. $20,425 O E. $9,325Determine the value of W on the right-hand side of the accompanying diagram that makes the two cash-flow diagrams equivalent when /=9% per year. Q $1,150 30 1 2 End of Year $1,150 3 4 5 $1,150 W Click the icon to view the interest and annuity table for discrete compounding when i=9% per year. End of Year The equivalent amount, "W", of the cashflows provided in the diagram is $ 1739. (Round to the nearest dollar.) W OU
- ou 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 +(Related to Checkpoint 5.2) (Future value) (Simple and compound interest) If you deposit $1,000 today into an account earning an annual rate of return of 11 percent, in the third year how much interest would be eamed? How much of the total is simple interest and how much results from compounding of interest? GE If you deposit $1,000 today into an account eaming an annual rate of retum of 11%, in the third year how much interest would be eamed? (Round to the nearest cent)P=? $3,000 $3,000 $1,500 $1,500 4=10% 2 = 8% iz = 10% 4 = 15% I5 = 10% 6 =8% 1 3 Years 6 Click the icon to view the interest and annuity table for discrete compounding when i = 8% per year. Click the icon to view the interest and annuity table for discrete compounding when i= 10% per year. Click the icon to view the interest and annuity table for discrete compounding when i= 15% per year. The present equivalent value is $ (Round to the nearest cent.)
