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12. Nonannual compounding period
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- 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…4. Non annual 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 Clancy 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. Another bank is also offering favorable terms, so Clancy decides to take a loan of $15,000 from this bank. He signs the loan…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 rate
- 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 8.80%; however, interest will be compounded quarterly. 1. Complete the following table by computing the nominal (or stated), periodic, and effective interest rates for this investment opportunity. Interest Rates Value Nominal rate Periodic rate Effective annual rate 2. Brian 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 8.00%. However, since the bank is compounding its interest monthly, the loan will impose an effective interest rate of on his loan. 3. Suppose you decide to deposit $16,000 into a savings account that…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 rate 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 4%. But the bank is compounding bimonthly (every two months). What is the effective interest rate that Rahul would pay for the loan? O 4.067% O 3.945% O 3.926% O 3.973%
- 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…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 +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. 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…What is the amount of the quarterly deposits, A, such that you will be able to withdraw the amounts shown in the cash flow diagram, if the interest rate is 10% compounded quarterly? Use equation of value with focal point at Pt. 8. P125,000 P75,000 No. of quarters 1 2 3 7 A deposits7. Future value of annuities There are two categories of cash flows: single cash flows, referred to as "lump sums," and annuities. Based on your understanding of annuities, answer the following questions. Which of the following statements about annuities are true? Check all that apply. O An annuity is a series of egual payments made at fixed intervals for a specified number of periods. O Ordinary annuities make fixed payments at the beginning of each period for a certain time period. O An annuity due is an annuity that makes a payment at the beginning of each period for a certain time period. O An annuity due earns more interest than an ordinary annuity of equal time. Which of the following is an example of an annuity? O An investment in a certificate of deposit (CD) A lump-sum payment made to a life insurance company that promises to make a series of equal payments later for some period of time Luana loves shopping for clothes, but considering the state of the economy, she has decided…