End the effective bimonthly interest rate equivalent to: a) nominal annual interest of 8%, compounded 6 times per year; Answer = %. b) nominal annual discount of 4%, compounded quarterly; Answer = %. c) nominal annual interest of 3%, compounded continuously; Answer = %.
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- What amount will be accumulated by Php 1,520 in 10 semi annuals at 6% compounded bi-monthly? What effective annual interest rate corresponds to the following situations? a. nominal interest rate of 4% compounded bi-monthly b. nominal interest rate of 5% compounded quarterly c. nominal interest rate of 6% compounded continuouslya)Find the nominal rate per annum convertible monthly that pays an interest of £200 on an initial capital of £1,000 at the end of 3 years. b)The annual effective interest rate is 5%. Find the monthly effective discount rate. c)Explain time-consistency of compound interest.Consider a loan of Sh. 50,000 with a 30 year term, interest of 6% (i+p) payable monthly. The loan balance is adjusted for inflation at the beginning of every 2 year s based on the CPI. The CPI increase at end of year two is 5%. Compute the new loan balance at the end of year two.
- Determine how much is in each account on the basis of the indicated compounding after the specified years have passed; P is the initial principal, and r is the annual rate given as a percent. (Round your answers to the nearest cent.) after one year where P = $7200 and r = 2.5% (a) compounded annually$ (b) compounded quarterly$ (c) compounded monthly$ (d) compounded weekly$ (e) compounded daily$(a) What is the simple interest on ₱ 30,000 for six months at a simple interest rate of 12% (b) What is the compound interest if the same investment is compounded quarterly? (c) Obtain the difference. Note: please find also the compound amount and compound interestA debt of $36,000 is repaid over 10 years with payments occurring quarterly. Interest is 8% compounded semi-annually. (a) What is the size of the periodic payment? (b) What is the outstanding principal after payment 27? (c) What is the interest paid on payment 28? (d) How much principal is repaid in payment 28?
- Assume an effective compound interest rate 6% per annum. a) The nominal interest rate payable semi-annually b) The effective interest rate payable quarterly c) The effective rate of discount per annum d) The nominal rate of discount payable monthly1) Determine how much is in each account on the basis of the indicated compounding after the specified years have passed; P is the initial principal, and r is the annual rate given as a percent. (Round your answers to the nearest cent.) P = $5000 and r = 3.1%, compounded annually (a) after 6 years$ (b) after 10 years$ (c) after 15 years$ (d) after 34 years$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?