Use the Continuous Compound Interest I information above to answer this question. If $10,000 is invested in this CD, how long will it take for the account to be worth $11,775? Ra to the nearest tenth of a year. years
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Finance
Continuous Compound Interest
Jesaki Bank offers a 10 -year CD that earns2.3%compounded continuously.
Use this information to answer questions 1-2 below.
Step by step
Solved in 3 steps
- 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?Consider an investment where $49,000 is invested for 10 years at 8% compounded continuously. a) How much will this investment be worth after 10 years? (Round your answer to the nearest cent.) $ _____ b) What is the total amount earned in compound interest? (Round your answer to the nearest cent.) $ _____What is the difference in future value if $20,000 is invested at 5% over ten years, with one option compounding interest semi-annually, while the other is based on quarterly compounding? If $10,000 was invested at 4% over ten years, determine the difference if this investment was based on simple interest versus interest that was compounded annually.
- Consider an investment where $45,000 is invested for 15 years at 8% compounded continuously. How much will this investment be worth after 15 years? (Round your answer to the nearest cent.) What is the total amount earned in compound interest? (Round your answer to the nearest cent.)(Solving for i) At what annual interest rate, compounded annually, would $520 have to be invested for it to grow to $1,925.13 in11 years?For the following exercise, use the compound interest formula, A(t) = P 1 + r n nt , where money is measured in dollars.After a certain number of years, the value of an investment account is represented by the expression 10,950 1 + 0.03 2 24 . How many years had the account been accumulating interest? yr
- If the current rate of interest is 6% APR, what is the future value of an investment that pays AED 15,000 every two years and lasts 20 years. Please solve step by step method without using excelIf the current rate of interest is 8%, then the present value of an investment that pays $1000 per year and lasts 20 years is closest to: Group of answer choices $18,519 $20,000 $45,716 $9,818As shown in Table, $1,000 invested at 10 percent compound interest will grow into $1,331 after three years. What is the present value of $2,662 in three years if it is discounted back to the present at a 10 percent compound interest rate? (Hint: $2,662 is twice as much as $1,331.)
- The following are two investment scenarios:Scenario 1: £8,000 at 6.5% with simple interest rateScenario 2: £5,000 at 6.5% with annual compound interest rateIn Excel, draw up a table with the following data: Scenario number, Capital, Interest rate, Type of Interest. Then, please create a dynamic process in the table to calculate the accrued interest each year for 45 years from now on, for each of the scenario.Graph the sums accrued and identify what year the sums accrued swap from one investment being the largest to the other.If the current rate of interest is 8% APR, then the future value of an investment that pays $250 per quarter and lasts 20 years is closest to: $48,443 $9936 $18,519 $20,000If $35,500 is invested at 6.2% for 30 years, find the future value if the interest is compounded the following ways. (Round your answers to the nearest cent.)