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A bank pays interest at the nominal rate of 3.8% per year. What is the effective annual yield if compounding is:
ROUND ALL ANSWERS TO THE NEAREST 0.01% .
A) annual?___%
B) monthly?___%
C) continuously?___%
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- Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?Assume that an investment of 100,000 produces a net cash flow of 60,000 per year for two years. The discount factor for year 1 is 0.89 and for year 2 is 0.80. The NPV is a. 0 b. 6,800 c. 1,400 d. (4,000)If a bank was offering a nominal rate of return of 12% compounded monthly, what is the annual effective rate?
- Suppose a savings and loan pays a nominal rate of 2.3% on savings deposits. Find the effective annual yield if interest is compounded quarterly.A bank pays a simple interest rate of 4.1% on 30 to 179-day GICs of at least $100,000. What is the effective annualized rate of return:a) On a 40-day GIC?b) On a 160-day GIC?Some banks advertise that money in their accounts is compounded continuously. To get an understanding of what this means, divide the year into 100,000 compounding periods per year. Apply the compound interest formula for finding future value to approximate what the effective yield would be if the compounding were done continuously for the stated nominal yield. nominal yield, 25% The effective annual yeild would be ___%
- A bank promises to pay an interest rate of 13.9 percent compoundedquarterly. What is the effective annual rate (EAR) the bank is offering?*Using Matlab* 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)^(nt) 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?Beautinator Cosmetics borrowed $152,300 from a bank for three years. If the quoted rate (APR) is 10.44 percent, and the compounding is daily, what is the effectiveannual rate (EAR)?
- A passbook savings account has a rate of 6%. Find the effective annual yield, rounded to the nearest tenth of a percent, if the interest is compounded monthly. The effective annual yield is _____%. Please show workA KIMEP BANK quotes you and interest rate of 12,5% per annum with semiannual compounding. What is the equivalent rate with annual compounding and continuous compounding? Choose the right answer: a. The rate with annual compounding is 12.89% and the rate with continuous compounding is 12.12% b. The rate with annual compounding is 12.12% and the rate with continuous compounding is 9.57% c. The rate with annual compounding is 10.28% and the rate with continuous compounding is 12.89% d. The rate with annual compounding is 10.38% and the rate with continuous compounding is 12.12%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?
