5. Leah owes her dad $24,000. They have agreed on a payment plan where she pays $7,000 in one year, $8,000 in two years, and $9,000 in three years. Luckily, Leah has managed to win a $35,000 lottery. Her dad has offered to allow her to settle the debt today for $21,000. Assuming a market interest rate of 7.05%, should Leah pay early?
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- 5. Leah owes her dad $24,000. They have agreed on a payment plan where she pays $7,000 in one year, $8,000 in two years, and $9,000 in three years. Luckily, Leah has managed to win a $35,000 lottery. Her dad has offered to allow her to settle the debt today for $21,000. Assuming a market interest rate of 7.05%, should Leah pay early?6) Susan is looking to purchase her first home five years from today. The house costs $1,550,000. She will have to make a down payment of 10% of this amount and plans to take a loan from the bank for the difference. Bank charges are approximately 15% of the loan amount. She plans to start saving from today to cover both the down payment and the bank charges. a. How much will she need to save to cover both the down payment and bank charges? b. If she currently has $195,000 in her account and will make no further deposits over the next five years, what rate of interest must she earn on this account in order to achieve the savings target calculated in part (a) above?3. What house value can Betty afford? Betty's annual income is $90,000 and she has monthly credit payments of $500. She is looking for a house financed by 30 year 6% mortgage with 20% down payment. Property tax and insurance on the home is expected to be $300 per month. Calculate the value of the house she can afford.
- 6. If you desire to have $80,000 for a down payment for a house in 7 years, what amount would you need to deposit each year for these 7 years? Assume that your money will earn 10 percent per year. 7. Kate deposits $9,900 each yearinto her retirement account. If these funds have an average earning of 11 percent over the 40 years until her retirement, what will be the value of her retirement account?Annette wants a home improvement loan to renovate her kitchen. Her bank will charge her 3.6%, compounded quarterly. She already has a 10-year GIC that will mature in 5 years. When her GlC reaches maturity, Annette wants to use the money to repay the home improvement loan with one payment. She wants the amount of the payment to be no more than $20 000. a) How much can she borrow? b) How much interest does she pay?2. Andy is planning to buy a car when he graduates from college 4 years from now. The estimated valueof the car is $25000. He will need to make a down-payment equal to 20% of the value of the car. Heplans to raise the down-payment by making equal monthly deposits into a bank savings account thatpays interest at the rate of 6% per year, so that he has the down-payment, four years from now. Hewants you to help him Ögure out the minimum monthly deposit he will have to make for the next 4years.(a) What is the monthly interest rate the bank pays?(b) At this moment you do not know the value of the monthly deposit he has to make. Let it be Pdollars per month. Write down an expression for the total value of all the monthly payments hewill deposit, (including interest), over the 4 year period.(c) The expression in part (b) should equal the down-payment he will need for the down-payment.Use that information to determine P . Show the work leading to your answer. Round o§ youranswer to the nearest…
- but tion Johnny wants to save some money for his daughter Alexis's education. Tuition costs $12,500 per year in today's dollars. Alexis was born today and will go to school starting at age 18. She will go to school for 4 years. Johnny can earn 11% on his investments and tuition inflation is 7%. How much must Johnny save at the end of each year, if he wants to make his last savings payment at the beginning of his daughter's first year of college? O a. $2,694.56. b. $2,789.04. X OC. $2,861.65. O d. $3,176.43.Suppose that you need $30,000 for your last year of college. You could go to a private lending institution and apply for a signature student loan; rates range from 7% to 14%. However, your Aunt Sally is willing to loan you the money from her retirement savings, with no repayment until after graduation. All she asks is that in the meantime you pay her each month the amount of interest that she would otherwise get on her savings (since she needs that to live on), which is 4%.What is your monthly payment to her, and how much interest will you pay her over the year (9 months)?(Fill in the blanks below and give your answers as whole numbers.)The amount of interest per month you would pay Aunt Sally is $__(1)__ .The total interest you will pay her over the year (9 months)is $__(2)__ .Your parents start saving for your sister's college education. She will begin college at age 18 and will need $4,000 per year at the end of each of the next 4 years. They will make a deposit one year from today in an account which pays 6% compounded annually, and an identical deposit each year including the year she starts college. If a deposit of $1,987 will allow them to reach their goal, how old is your sister now?
- RT is about to loan his granddaughter Cynthia $20,000 for 1 year. RT’s TVOM, based upon his current investment earnings, is 12%, and he has no desire to loan money for a lower rate. Cynthia is currently earning 8% on her investments, but they are not easily available to her, and she is willing to pay up to $2,000 interest for the 1-year loan. Solve, a. Should they be able to successfully negotiate the terms of this loan? b. If so, what range of pay backs would be mutually satisfactory? If not, how many dollars off is each person from reaching an agreement?Your cousin is currently 13 years old. She will be going to college in 5 years. Your aunt and unclewould like to have $115,000 in a savings account to fund her education at that time. If the accountpromises to pay a fixed interest rate of 3.6% per year, how much money do they need to put into theaccount today to ensure that they will have $115,000 in 5 years?Your cousin is currently 8 years old. She will be going to college in 10 years. Your aunt and uncle would like to have $95,000 in a savings account to fund her education at that time. If the account promises to pay a fixed interest rate of 4.3% per year, how much money do they need to put into the account today to ensure that they will have $95,000 in 10 years? The amount they need to put away today is $ (Round to the nearest cent.)