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- Consider the following cash flows: Year Cash Flow 2 $ 22,900 3 40,900 5 58,900 Assume an interest rate of 9.7 percent per year. a. If today is Year 0, what is the future value of the cash flows five years from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. If today is Year 0, what is the future value of the cash flows ten years from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)12. Nonannual compounding period The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows. An investor can invest money with a particular bank and earn a stated interest rate of 4.40%; however, interest will be compounded quarterly. What are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate8. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. A. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the end of each year An annuity that pays $1,000 at the beginning of each year An annuity that pays $500 at the beginning of every six months B. An ordinary annuity selling at $2,514.15 today promises to make equal payments at the end of each year for the next eight years (N). If the annuity’s appropriate interest rate (I) remains at 8.00% during this time, the annual annuity payment (PMT) will be . C. You just won the lottery. Congratulations! The jackpot is $10,000,000, paid in eight…
- 12. Nonannual compounding period The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows. A. An investor can invest money with a particular bank and earn a stated interest rate of 6.60%; however, interest will be compounded quarterly. What are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate B. You want to invest $24,000 and are looking for safe investment options. Your bank is offering you a certificate of deposit that pays a nominal rate of 6% that is compounded quarterly. What is the effective rate of return that you will earn from this investment? 6.221% 5.995% 6.014% 6.136% C. Suppose you decide to deposit $24,000 in a savings account that pays a nominal rate of 12%, but interest is…3. The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows. An investor can invest money with a particular bank and earn a stated interest rate of 6.60%; however, interest will be compounded quarterly. What are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate 6.60%, 4.13%, 2.25%, 9.31% Periodic rate 2.35%, 1.65%, 6.12%, 6.77% Effective annual rate 6.77%, 4.35%, 3.66%, 6.60% Rahul needs a loan and is speaking to several lending agencies about the interest rates they would charge and the terms they offer. He particularly likes his local bank because he is being offered a nominal rate of 6%. But the bank is compounding monthly. What is the effective interest rate that Rahul would pay for the loan? A. 6.027% B. 6.289% C. 6.168% D. 6.074%…8. Nonannual compounding period The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows. An investor can invest money with a particular bank and earn a stated interest rate of 15.40%; however, interest will be compounded quarterly. What are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate You want to invest $11,000 and are looking for safe investment options. Your bank is offering you a certificate of deposit that pays a nominal rate of 14% that is compounded bimonthly (every two months). What is the effective rate of return that you will earn from this investment? 14.843% 15.026% 14.964% 14.702% Suppose you decide to deposit $11,000 in a savings account that pays a nominal rate of 6%, but interest is…
- What is the amount of the quarterly deposits Asuch that you will be able to withdraw the amountsshown in the cash flow diagram if the interest rate is8% compounded quarterly?12. Nonannual compounding period The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows. An investor can invest money with a particular bank and earn a stated interest rate of 11.00%; however, interest will be compounded quarterly. Complete the following table by computing the nominal (or stated), periodic, and effective interest rates for this investment opportunity. Interest Rates Nominal rate Periodic rate Effective annual rate Kenji needs a loan and is speaking to several lending agencies about their interest rates and loan terms. He particularly likes his local bank because he is being offered a nominal rate of 10.00%. However, since the bank is compounding its interest semiannually, the loan will impose an effective interest rate of on his loan. O $14,028.30 Suppose you decide to deposit $14,000 into a savings account that pays a nominal rate of 13.00%, but interest is…What is the present value of the following cash-flow stream if the interest rate is 4%? Year 1: $170; 2: $370; 3:$270
- 8. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. O An annuity that pays $500 at the end of every six months O An annuity that pays $1,000 at the beginning of each year O An annuity that pays $1,000 at the end of each year O An annuity that pays $500 at the beginning of every six months An ordinary annuity selling at $11,417.87 today promises to make equal payments at the end of each year for the next six years (N). If the annuity's appropriate interest rate (I) remains at 9.50% during this time, the annual annuity payment (PMT) will be You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in six equal annual payments. The first payment on the lottery jackpot will be made…8. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $1,000 at the end of each year An annuity that pays $1,000 at the beginning of each year An annuity that pays $500 at the end of every six months An annuity that pays $500 at the beginning of every six months You bought an annuity selling at $14,112.74 today that promises to make equal payments at the beginning of each year for the next twelve years (N). If the annuity's appropriate interest rate (1) remains at 11.00% during this time, then the value of the annual annuity payment (PMT) is You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in twelve equal annual payments. The first payment on the lottery…8. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $500 at the beginning of every six months An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the end of each year An annuity that pays $1,000 at the beginning of each year An ordinary annuity selling at $10,538.38 today promises to make equal payments at the end of each year for the next twelve years (N). If the annuity’s appropriate interest rate (I) remains at 6.50% during this time, the annual annuity payment (PMT) will be . You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in twelve equal annual payments. The…