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(e) You borrow an amount and agree to pay it off with one lump sum payment of $40,000 in 6 years at 10%. How much will you borrow?
Step by step
Solved in 5 steps
- 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?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 annuityYou want to accumulate $1 million by your retirement date, which is 25 years from now. You will make 25 deposits in your bank, with the first occurring today. The bank pays 8% interest, compounded annually. You expect to receive annual raises of 3%, which will offset inflation, and you will let the amount you deposit each year also grow by 3% (i.e., your second deposit will be 3% greater than your first, the third will be 3% greater than the second, etc.). How much must your first deposit be if you are to meet your goal?
- 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?1) What is the maximum that you would be willing to loan your brother for a $100 IOU if he promises to pay you back at the end of the year? You want to earn an annual rate of return of 12%. A) $82.00 B) $89.29 C) $92.73 D) $88.003. You wish to purchase a land worth P750,000 and the seller requires 20% downpayment. Then you will loan the balance from a bank that charge 6% annual interest rate to be paid for 1 year. a. How much is the monthly amortization? b. How much is the total interest?
- C) What is the present value of $7,500 per year, at a discount rate of 8.5 percent, if the first payment is received 10 years from now and the last payment is received 25 years from now?You have signed up for your 401k and will deposit $750 into your 401k when you are paid at the end of each month. If you earn a compound annual rate of return of 6%, how much will you have in 15 years?What would your monthly car payment be if you financed a $35,000 car for 3 years at a rate of 6%?The appropriate discount rate for the following cash flows is 12 percent compounded quarterly. What is the present value of the cash flows? Year 1 CF=700, Year 2 CF=600, Year 3 CF=0, Year 4 CF=1000If you borrow $6,000 for 4 years and agree to pay back $8000, what simple interest rate will you end up paying? O 6.77% O 5.25% O 9.67% 8.33%Suppose that you wish to buy a new home that will cost you $452,847. You must put $80,000 down, and the bank offers you a 5-year 5.1% APR negative amortization loan with a payments $1,258 per month, and a balloon payment of $92,233 (your 360th payment). How much will your remaining payments be?
- How much would you have to pay each year to pay off a 5%, 7-year loan of $300,000?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…Please use formula in solving. You are interested in buying a house worth P1,200,000. You paid P250,000 as down payment. In order to pay for the remaining amount, you take out a loan from the bank at a 9% interest rate to be paid for 25 years. a) What is your monthly payment?b) What is the total interest paid for the loaned amount?c) How much of the principal has been paid after 10 years? d) After 15 years, you decide to sell the house. How much should the selling price be to cover the remaining balance of the payments?
