An interest rate obtained by dividing the nominal rate per year by the number of compounding periods in that year isa. A nominal interest rateb. An effective interest ratec. An effective interest rate only if the compounding period is monthlyd. Either (b) or (c)
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An interest rate obtained by dividing the nominal rate per year by the number of compounding periods in that year is
a. A nominal interest rate
b. An effective interest rate
c. An effective interest rate only if the compounding period is monthly
d. Either (b) or (c)
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- Determine the effective rate of interest of the following nominal rates. a. nominal rates (Compounded annually) b. nominal rates (Compounded quarterly) c. nominal rates (Compounded continuously) nominal rate = 0.14Interest on a note payable can be calculated by multiplying the amount owed by the interest rate by the fraction of year that represents the time elapsed since borrowing. a. True b. FalseWhat nominal interest rate compounded quarterly is equivalent to j∞=j∞= 7%?
- A lending institution charges interest at the rate of 3.5% per quarter, a. What is the nominal interest rate? b. What is the effective annual interest rate? c. What is the effective semiannual interest rate?13 When interest is calculated for periods shorter than a year, the formula to calculate interest is: Multiple Choice I = P × R × T, where I = interest calculated, P = principal, R = annual interest rate, and T = number of months. I = P × R × T, where I = interest calculated, P = principal, R = annual interest rate, and T = (number of months ÷ 12). I = P × R × T, where I = interest calculated, P = principal, R = monthly interest rate, and T = (number of months ÷ 12). I = (MV − P)/T, where I = interest calculated, MV = maturity value, P = principal and T = number of months.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 monthly
- Find the equivalent interest rates to the given nominal interest rates. a. Nominal interest rate compounded quarterly that is equivalent to an effective interest rate of 8% . 144.20% 1.94% 36.05% 7.77% b. Nominal interest rate compounded monthly that is equivalent to 3.5% compounded quarterly. 31.78% 2.65% 3.49% 0.29% c. Nominal interest rate compounded monthly that is equivalent to 6% compounded annually. 5.84% 1,214.64% 0.49% 101.22%An investment pays you 9% interest, compounded quarterly. What is the periodic rate of interest? What is the nominal rate of interest? What is the effective rate of interest?True Or False 1. The term nominal rate refers to the interest that is usually expressed on a semi-annual basis.
- For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor.1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest (b) Number of Periods a. 11% 10 Annually enter percentages % enter the number of periods b. 8% 8 Quarterly enter percentages % enter the number of periods c. 10% 19 Semiannually enter percentages % enter the number of periods 2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.) Annual Rate Number of Years Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 12% 30 30 Annually enter percentages % enter the number of periods b. 11% 16 32 Semiannually enter percentages % enter the number…Method A assumes simple interest over nal fractional periods, while Method B assumes simple discount over nal fractional periods. The annual eective rate of interest is 20%. Find the ratio of the present value of a payment to be made in 1.5 years computed under method A to that computed under Method BCompare the stated annual rate (r) to the effective annual rate (EAR). What relationship exists between compounding frequency and the stated and effective annual rates? Amount of Compounding Initial Stated Annual Frequency, m Deposit Case Deposit ($) Rate, r (%) (times/year) Period (years) A 2,500 6 2 5 B 50,000 12 6 3 C 1,000 5 1 10 D 20,000 16 4 6
