If an investment of $45,000 is earning an interest rate of 4.00%, compounded annually, then it will take for this investment to reach a value of $53,686.19–assuming that no additional deposits or withdrawals are made during this time.
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- An investment becomes P 4,500,000 four years from now and becomes P 5,250,000 thirteen years from now. a. Assuming rate of compounded interest remains constant through time, what was the investment's value on the present time? b. What rate of interest compounded quarterly is equivalent to the interest rate of the given investment? c. What rate of interest compounded monthly is equivalent to the interest rate of the given investment?(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%?(An investment pays no income now. However, it is expected to have a cash inflow of RM 500,000 at Year 3. This income will only last for two years. Thereafter, it is expected to generate RM 750,000 perpetually. How much would you be willing to pay to invest today at a required return of 12.5 percent?)
- 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 +You make an investment into a money market account at time T=0. In year T=5, the value of the money market account will be $5,000. The money market account pays an annual interest of R=6%, and interest is compounded on a quarterly basis. What is the present value of this account?Suppose that an investment promises to pay a nominal 9.6 percent annual rate ofinterest. What is the effective annual interest rate on this investment assuming thatinterest is compounded (a) annually? (b) semiannually? (c) quarterly? (d) monthly? (e)daily (365 days)? (f) Weekly?
- An investment, which is worth $54,000.00 and has an expected return of 11.80 percent, is expected to pay fixed annual cash flows for a given amount of time. The first annual cash flow is expected in 1 year from today and the last annual cash flow is expected in 6 years from today. What is the present value of the annual cash flow that is expected in 3 years from today? O $10,516.47 (plus or minus 10 dollars) O $13,059.88 (plus or minus 10 dollars) O $9,345.74 (plus or minus 10 dollars) O $11,681.46 (plus or minus 10 dollars) O none of the answers are within 10 dollars of the correct answer +An investment, which is worth $57,023.00 and has an expected return of 17.00 percent, is expected to pay fixed annual cash flows forever with the next annual cash flow expected in 1 year. What is the present value of the annual cash flow that is expected in 3 years from today? O $9,693.91 (plus or minus 3 dollars) O $35,603.48 (plus or minus 3 dollars) O $6,052.59 (plus or minus 3 dollars) O $8,285.39 (plus or minus 3 dollars) O none of the answers are within 3 dollars of the correct answerSuppose S500 is invested at 4% compounded quarterly. (a) How long will it take the investament to accumulate to $750 if the exact method for accumulation is in effect? (b) How long will it take the investment to accumulate to $750 if the practical method for accumulation is in effect? Be sure to us linear interpolation! (e) What anmual effective interest rate must 8500 be invested at to accumulate to S750 in 10 years?
- An investment pays $16651.42 today, $20147.83 in 200 days and pays $23051.92 in 300 days at a rate of simple interest is 4.05%. What is the value 160 days from today of the investment?what will be the balance of an investment after a period of 9 years assuming an initial deposit of $2300, annual investment returns of 4.0% during the first 5 years, followed by annual returns of 3.1% for the remainder of the period? Consider no additional annual withdrawals or deposits during the periodSuppose that an investment promises to pay a nominal 9.6 percent annual rate of interest. What is the effective annual interest rate on this investment assuming that interest is compounded (a) annually? (b) semiannually? (c) quarterly? (d) monthly? (e) daily (365 days)? (f ) continuously? (Note: Report your answers accurate to four decimal places –e.g., 0.0987 or 9.87%.)