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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- Maria wants to attend Clarke University. She will need $90,000 eight years from today. Assume Maria's bank pays 6% interest compounded semiannually. What must Maria deposit today to have $90,000 in eight years? verify your answer.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?Emma plans to loan $1,000 to her friend, who will pay a simple interest rate of 5.8% every year for the loan. If no payments are made and no further borrowing occurs between them for 13 years, then how much money will Emma' s friend owe her? $1,061.36 $1,754.00 $2,081.20 $158.00 Now, assume that Emma's friend volunteers to pay compound interest instead of simple interest for her loan. If interest is accrued at 5.8% compounded annually, all other things being equal, how much money will Emma's friend owe her in 13 years? $2,081.20 $1,058.00 $120.71 $ 1,754.00 Emma has another investment option in the market that pays 5.8% nominal interest, but it's compounded quarterly. Keeping everything else constant, how much money will Emma have in 13 years if she invests $1,000 in this fund? $158.00 $129.72 $2,114.01 $1,059.27
- 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…Gabby is planning to buy a home. She has some money for a down payment already saved. She sees a home she would like and calculates that she would need to borrow $210,000 from a bank for a 30-year period. The APR is 7.2%. What will be her total interest for the 30 years? Step 1) What is the monthly payment? Step 2) What are the total payments ($) for the entirety of the loan? Step 3) What is the total interest?6. Jake and Archie are looking for places to live. Jake decides to rent a house for $1400 . Archie buys a house for $189 900, with a down payment of 10%. The bank has offered Archie a 20-year mortgage for the remainder of the cost, at 4% compounded semi-annually, with payments every two weeks. Jake and Archie both move after 5 years. Archie's house has depreciated by 2% per year. Compare Jake's and Archie's housing costs. per month.
- Joann wants to save for her daughter's education. Tuition costs $9,000 per year in today's dollars. Her daughter was born today and will go to school starting at age 18. She will go to school for 4 years. She can earn 12% on her investments and tuition inflation is 6%. How much must she save at the end of each year if she wants to make her last savings payment at the beginning of her daughter's first year of college? $1,889 $2,117 $2,370 $1,700Suppose 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)__ .Joanna’s Dad is looking to deposit a sum of money immediately into an account that pays an annual interest rate of 10% so that her first-year's college tuition costs are provided for. Currently, the average college tuition cost is $15,000 and is expected to increase by 5% annually (the average annual inflation rate). Joanna just turned 3 and is expected to start college when she turns 18. How much money will Joanna’s Dad have to deposit into the account?
- 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?5. Erin borrowed $200,000 fixed-rate 30-yr mortgage when mortgage rate was 4.5%. How much total interest will she pay if she does not pay off the mortgage earlier? She heard that some house buyers choose to make one extra monthly payment each year so as to pay off their mortgage earlier and therefore reduce the interest payment. Erin decided to do so too. Each year, she will split the extra payment to 12 month so that she pays $1098 per month all the way until paying off the mortgage. Doing so will pay off her mortgage within 307 months instead of 30 years. How much interest will she save? If you were Erin and have extra money, are you financially better off by making extra monthly payment and paying off your mortgage earlier |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?

