If the nominal interest rate is 12% per year compounded monthly, then the effective interest rate per six-months will be m equal to 1+ r m -1, where OA. r= 12% and m = 12; OB. r= 1% and m = 12; OC. r= 6% and m = 6; D. r= 6% and m = 2; O E. r= 1% and m = 6;
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- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?Assume a problem statement involves only single amounts, that is, no series or gradients, and the interest rate is stated as 12% per year compounded quarterly. For the following n values, determine the proper interest rate to use in the factor equations: (a) n = 20 quarters; (b) n = 10 semiannual periods; (c) n = 5 years.If compounding is quarterly, what effective annual interest rate will make the following values of P and F equivalent for the values of n as shown below? P = 420,733 pesos; F = 3,147,429 pesos; n = 13 years
- Given the nominal rate of 12% per year compounded continuously, find a) Effective interest rate per year b) Effective per two years c) Effective per semi annual d) Effective per month e) Effective per quarterSuppose that an investment promises to pay a nominal 9.6 percent annual rate of interest. What is the effective annual interest rate on this investment assuming that interest is compounded (a) annually? (b) semiannually? (c) quarterly? (d) monthly? (e) daily (365 days)? (f ) continuously? (Note: Report your answers accurate to four decimal places –e.g., 0.0987 or 9.87%.)if the nominal rate is 11.5% per year compounded continuously, what is the equivalent effective rate of interest per bi month
- If the effective interest rate is 20% per annum, what is the Nominal Rate if it is? a.Compounded Daily (360 Days) b.Compounded Daily (365 Days) c.Compounded Weekly d.Compounded Monthly e.Compounded Quarterly f.Compounded Semi-Annually g.Compounded AnnuallyHow much will $11,000 grow to in five years, assuming an interest rate of 12% compounded quarterly? (FV of $1, PV of $1, FVA of $1, and PVA of $1).If a nominal interest rate of 8% is compounded continuously, determine the unknown quantity in each of the following situations: Solve, a. What uniform EOY amount for 10 years is equivalent to $8,000 at EOY 10? b. What is the present equivalent value of $1,000 per year for 12 years? c. What is the future equivalent at the end of the sixth year of $243 payments made every six months during the six years? The first payment occurs six months.
- If the stated interest rate is 8%, number of years is 3, and market interest rate is 12% compounded quarterly, then the present value factor of the lumpsum is:7.If $1000 is deposited at 12.5% p.a. for one year, what is the effective annual interest rate if interest is compounded quarterly? Select one: a. 13.10% b. 12.50% c. 13.03% d. 13.05%If a nominal interest rate of 8% is compounded continuously, determine the unknown quantity in each of the following situations: Solve, a. What uniform EOY amount for 10 years is equivalent to $8,000 at EOY 10? b. What is the present equivalent value of $1,000 per year for 12 years? c. What is the future equivalent at the end of the sixth year of $243 payments made every six months during the six years? The first payment occurs six months from the present and the last occurs at the end of the sixth year. d. Find the equivalent lump-sum amount at EOY nine when P0 = $1,000.