7. Suppose you find an investment account that you decide to contribute to every month over the course of 30 years. The investment has an average rate of return of 5.2%, compounding daily. Also, you decide to start the account with an initial amount of $10,000, and that your monthly contributions will be $1000. How much is the account worth after 30 years? Suppose, for the sake of simplicity that the account compounds continuously, and that your contributions to the account are spread out evenly (continuously) over the course of the year.
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- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityHow much must be invested now to receive $30,000 for 10 years if the first $30.000 is received one year from now and the rate is 8%?Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?
- Suppose you invest $2,000 today and receive $11,000 in five years. a. What is the internal rate of return (IRR) of this opportunity? b. Suppose another investment opportunity also requires $2,000 upfront, but pays an equal amount at the end of each year for the next five years. If this investment has the same IRR as the first one, what is the amount you will receive each year?Suppose you invest $3,000 today and receive $10,000 in 25 years. a. What is the internal rate of return (IRR) of this opportunity? b. Suppose another investment opportunity also requires $3,000 upfront, but pays an equal amount at the end of each year for the next 25 years. If this investment has the same IRR as the first one, what is the amount you will receive each year? a. What is the internal rate of return (IRR) of this opportunity? The IRR of this opportunity is%. (Round to two decimal places.) b. Suppose another investment opportunity also requires $3,000 upfront, but pays an equal amount at the end of each year for the next 25 years. If this investment has the same IRR as the first one, what is the amount you will receive each year? The periodic payment that gives the same IRR is $ (Round to the nearest cent.)You wish to have an investment that will bring about $20 000 infive years, and the rate of return is 8% per annum. Required:a. In term of time value of money, what is the amount of $20,000 represent?b. How much do you need to invest now if the rate is compounded annually(to the nearest dollar)?c. If you have $20,000 now and put the sum into a bank account that pays5% per year. How much will you have in 6 years if the rate is compounded semiannually, quarterly, monthly and daily (to the nearest dollar)?
- You are depositing $3,000 today in an account with an expected rate of return of 10%. If you deposit an additional $4,000 three years from today, and $4,200 four years from today, what will your account balance be ten years from today? Show your formula/calculation/explanation!You wish to have an investment that will bring about $50 000 in ten years, and the rate of return is 8% per annum. Required:a. In term of time value of money, what is the amount of $50,000 represent?b. How much do you need to invest now if the rate is compounded annually(to the nearest dollar)?c. If you have $50,000 now and put the sum into a bank account that pays 5% per year. How much will you have in 8 years if the rate is compounded semi- annually, quarterly, monthly and daily (to the nearest dollar)?You wish to have an investment that will bring about $50 000 in tenyears, and the rate of return is 8% per annum. Required:a. In term of time value of money, what is the amount of $50,000 represent?b. How much do you need to invest now if the rate is compounded annually(to the nearest dollar)?c. If you have $50,000 now and put the sum into a bank account that pays5% per year. How much will you have in 8 years if the rate is compounded semiannually, quarterly, monthly and daily (to the nearest dollar)?
- Suppose you plan to deposit $1000 into an account next year, and increase the deposit each year by 5%. How how much will you have in the account after 10 years if the account earns an effective annual return of 9.25%?An investment pays you $100 at the end of each of the next 3 years. The investment will then pay you $200 at the end of year 4, $300 at the end of year 5, and $500 at the end of year 6. If the rate of interest earned on the investment is 8%, what is the present value of this investment? What is its future value? How do you solve this with excel?You have $1725 to invest. You know that a particular investment will double your money in five years. How much will you have in 10 years if you invest in this investment, assuming that the annual rate of return is guaranteed for the time period?