What ls the present value (PV) of an Investment that will pay $2,500 In five years if the opportunity cost rate Is 9 percent compounded (a) annually, (b) quarterly, and (c) monthly? Explain why the PV is lowest when Interest is compounded monthly.
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A: Step 1:1). FV = PV * (1 + r)n= $17,250 * (1 + 0.07)11 * (1 + 0.11)11= $17,250 * 2.104851952 *…
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- 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?Suppose that you have an investment that earns 0% in the first year, but 20.7% in the second year. What rate of interest, compounded annually, would yield the same return after two years? (Answer in percentage)What is the present value of an investment that will pay $1,000 in one year's time, and $1,000 every year after that, when the interest rate is 8%?
- an investment will pay $2,445 two years from now, $3,433 four years from now, and $1,611 five years from now. if rhe opportunity rate is 7.07 percent per year, what is the present value of the investment?If the current rate of interest is 6% APR, what is the future value of an investment that pays AED 15,000 every two years and lasts 20 years. Please solve step by step method without using excel1. This problem relates to Future Value, and Future income streams. Assume continuous compounding of interest. (a) Find the present value of a single future payment of FV = $50,000 to be made 20 years from now, assuming an interest rate of 5 percent. (b) Suppose you want a future income stream (annual payments) of FV (t) = 500t for 20 years. Find the present value of this income stream, assuming an interest rate of 5 percent.
- What is the internal rate of return (IRR) of an investment that requires an initial investmen of $11,000 today and pays $15,400 in one year's time?What interest rate, when compounded annually, is involved if an initial investment of $4000 turns into $10000 in 6 years?Suppose you were to receive $1,000 at the end of 10 years. If your opportunity rate is 10 percent, what is the present value of this amount if interest is compounded (a) annually? (b) quarterly? (c) continuously?
- What is the value of today of an investment that will pay $100 per year for 5 years. Assume first payment is made 1 year from today and the interest rate is 7%?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?An investment pays an annual cash flow of $1 forever. The appropriate discount rate is 4% per year. What is the present value of this investment opportunity?
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