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1.Suppose you can save $200 per year at the end of each year for 15 years and earn 7.49% interest per year. However, you cannot start saving for five years. What is the present value of this
2.What are the annual payments for a 4-year $4,000 loan if the interest rate is 9% per year? Make up a loan amortization schedule.
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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 annuityUse 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?Calculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?
- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?Suppose you are going to receive $13,500 per year for five years. The interest rate is 8.4%a. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due?b. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are annuity due?c. Which has the highest present value (future value), the ordinary annuity or annuity due?1. Suppose you can save $200 per year at the end of each year for 15 years and earn 7.49% interest per year. However, you cannot start saving for five years. What is the present value of this annuity? 2. What are the annual payments for a 4-year $4,000 loan if the interest rate is 9% per year? Make up a loan amortization schedule. 3. Consider the following future value problem. The respective cash flows for t = 0, 1, 2, and 3 are $3,000, $2,000, $8,000, and $5,000 and the discount rate is ten percent. What is the future value at t = 4? 4. You are offered a signing bonus of $2,000,000 or a future payment of $2,500,000 at the end of three years from now. If you can earn 7% on invested funds, would you take the signing bonus or wait for the future payment?
- Suppose you take out a $117,000, 20-year mortgage loan to buy a condo. The interest rate on the loan is 5%. To keep things simple, we will assume you make payments on the loan annually at the end of each year. a. What is your annual payment on the loan? b. Construct a mortgage amortization. c. What fraction of your initial loan payment is interest? d. What fraction of your initial loan payment is amortization? e. What is the total of the loan amount paid off after 10 years (halfway through the life of the loan)? f. If the inflation rate is 3%, what is the real value of the first (year-end) payment? g. If the inflation rate is 3%, what is the real value of the last (year-end) payment? h. Now assume the inflation rate is 6% and the real interest rate on the loan is unchanged. What must be the new nominal interest rate? i-1. Recompute the amortization table. i-2. What is the real value of the first (year-end) payment in this high-inflation scenario? j. What is the real value of the last…Suppose you are going to receive $5,000 per year for 8 years. The appropriate interest rate is 10 percent. What is the present value of the payments if they are in the form of an ordinary, a. anhuity? b. What is the present value if the payments are an annuity due?Suppose you have an opportunity to buy an annuity that pays $3,500 at the end of each year for 6 years, at a 9% interest rate. What is the most you should pay for the annuity? USE FORMULA
- you wish to purchase real property. the lender will give you a 250000 fixed rate 30 year mortgage at 3.5% per annum. suppose that before you can make any payments you receive a pay raise so you can pay an extra 200 per month with your normal payment. how many payments are required to fully amortize the loan assuming the extra 200 is paid each month?Suppose you take out a 30 year mortgage for $ 250000 at 6.75% interest. The monthly payments on this loan are $ 1621.50. If you pay an extra 40% per month on your mortgage, how soon will you pay off the loan? How much will you save in interest by making the extra payments?Suppose you invest $210,000 in an annuity that returns 6 annual payments, with the first payment one year from now and each subsequent payment growing by 5%. At an interest rate of 8%, how much is the first annual payment you receive? Equivalent problem structure (as a borrower): Suppose you borrow $210,000 to be paid back over 6 years with the first payment one year from now and each subsequent payment growing by 5%. At an interest rate of 8%, how much is the first annual payment? Please round your answer to the nearest hundredth.
