An interest rate is 12% APR when measured using semiannual compounding. What is the equivalent rate when measured using continuous compounding? How much will $100 grow to in 3 years if it's invested at 12% APR with semiannual compounding? Is that more, less, or the same as it will grow to over the same period using the continuously compounding equivalent rate?

An interest rate is 12% APR when measured using semiannual compounding. What is the equivalent rate when measured using continuous compounding? How much will $100 grow to in 3 years if it's invested at 12% APR with semiannual compounding? Is that more, less, or the same as it will grow to over the same period using the continuously compounding equivalent rate?

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 8MC: Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future...

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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?
An interest rate is 12% APR when measured using semiannual compounding. What is the equivalent rate when measured using continuous compounding? How much will $100 grow to in 3 years if it's invested at 12% APR with semiannual compounding? Is that more, less, or the same as it will grow to over the same period using the continuously compounding equivalent rate? Group of answer choices 11.33%; $140.49; same 11.33%; 140.49; less 11.65%; $141.85; same 11.65%; 141.85; less
2. Find the future value of OMR10,000 invested now after five years if the annual interest rate is 8 percent. a. What would be the future value if the interest rate is a simple interest rate? b. What would be the future value if the interest rate is a compound interest rate?
(Related to Checkpoint 5.6) (Solving for At what annual intenest rate, compounded annualy would $520 have to be invested for it to grow to S1.991 72 in 12 years? The annual interest rate compounded annualy, at which $520 must be invested for t to grow to 51.991 72n 12 years is Roued to two decimal places)
Suppose S500 is invested at 4% compounded quarterly. (a) How long will it take the investament to accumulate to $750 if the exact method for accumulation is in effect? (b) How long will it take the investment to accumulate to $750 if the practical method for accumulation is in effect? Be sure to us linear interpolation! (e) What anmual effective interest rate must 8500 be invested at to accumulate to S750 in 10 years?
a) You invest 155 000 TL for a year. At the end the year, you have 174 375 TL net in your account. If the inflation realizes at %10 fot this year, calculate real rate of return? Can real interest rates be negative? Give a simple example?
The effective annual interest rate is given to be 19.2%. What is the nominal interest rate per year (r) if continuous compounding is being used? Choose the closest answer below. (a) 19.83% (b) 18.55% (c) 17.56% (d) 16.90%
Consider a future value of $2,000, 8 years in the future. Assume that the nominal interest rate is 18.00%. Assume that there is semiannual compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with semiannual compounding. Assume that there is quarterly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with quarterly compounding. Suppose now that the cash flow of $2,000 occurs only 1 year in the future. Assume that there is monthly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with monthly compounding.
nt Use the compound interest formulas A = P and A = Pert to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 4.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) b.What is the accumulated value if the money is compounded quarterly? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) c. What is the accumulated value if the money is compounded monthly? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) d. What is the accumulated value if the money is compounded continuously? (Round your answer to the nearest cent. Do not include the $ symbol in your answer.)
If $43,000 is invested now, which of the following value is closest to the equivalent future dollars 6 years from now to earn a real interest rate of 3% per year when the inflation rate is 6% per year? Select one: а. 51,344 b. 72,833 c. 66,709 d. 79,519 е. 60,996
I need answer a and b urgent
Find the present value PV of the annuity account necessary to fund the withdrawal given. HINT [See Quick Example 3.] (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $2,800 per quarter for 10 years, if the account earns 6% per year PV = $ Need Help? Read It