If you borrow L dollars at an annual interest rate of r (in decimal form, so 5% is written as 0.05, for a period of m years, then the size of the monthly payment, M, is given by the annuity equation 12M L = -[1-(1 + r/12) 12m Suppose you need to borrow $150,000 to buy the new house that you want, and you can only afford to pay $600 per month. Assuming a 30-year mortgage, use the bisection method to determine what interest rate you can afford to pay. (Should you perhaps find some rich relatives to help you out here?)
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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 $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?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 that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: 12t - 12 [(1 + # ). ²- ] 1+ 12 r Español r where M is the regular monthly payment, › is the annual interest rate in decimal form, and is the term of the annuity in years. With a monthly payment of $110, what would the future value be if you chose an annuity with a term of two years at 4.7% interest? Round you answer to the nearest cent. The future value would be XSuppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: 12t 12 [(1 - - - - ] 1 12 A = r where is the regular monthly payment, ▾ is the annual interest rate in decimal form, and ʼn is the term of the annuity in years. If you chose an annuity with a term of two years at 4.8% and a monthly payment of $120, the future value would be $3016.45. Recalculate the future value amount if you're willing to raise your monthly payment $20 per month. Round your answer to the nearest cent. The future value would be $ XSuppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: A = 12M 1+ 12 7 12t - 1 where M is the regular monthly payment, r is the annual interest rate in decimal form, and t is the term of the annuity in years. With a monthly payment of $110, what would the future value be if you chose an annuity with a term of two years at 4.5% interest? Round you answer to the nearest cent. The future value would be $. X S
- Suppose that you borrow $17,000 for three years at 8% toward the purchase of a car. Use PMT= PA [---] -nt The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.) to find the monthly payments and the total interest for the loan.You borrow $30,000 for 10 years to pay tuition and fees. The annual interest rate is 12 percent. What monthly payment would be required to pay off the loan? ANS: Use the following formula: F= Px 1-[1/(1+1)]" where P $30,000; i = 0.12 12= 0.01; N= 10x 12 = 120Suppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: A = [( The future value would be $ 12M 1+ 12 Y where M is the regular monthly payment, r is the annual interest rate in decimal form, and t is the term of the annuity in years. If you chose an annuity with a term of two years at 4.7% and a monthly payment of $100, the future value would be $2511.27. Recalculate the future value amount if you're willing to raise your monthly payment $20 per month. Round your answer to the nearest cent. 121 X 6
- Suppose you want to borrow $20,000 for a new car. You can borrow 8% per year, compounded 8 monthly (12 = 0.66667% per month. Take a 4 year loan, what is your monthly payment?Could u pls helpSuppose you decide to buy a car for $25,485, including taxes and licensing fees. You saved $10,000 for a down payment and can get a five- year loan at 6.52%. Use the present value of an annuity formula to find the monthly payment. Round to the nearest cent as needed. -nt pmt 1- P = $218.99 O $303.13 O $498.88 O $8413.52