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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- 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?George wants to purchase a home. After his down payment, he needs to finance $500,000. He gets a 25 year Adjustable Rate Mortgage (ARM) with an initial APR of 3.9%. a) What would be his monthly payment (rounded to the nearest dollar)? b) After 3 years, the bank raises his APR to 4.2% What would his new monthly payment be (round to the nearest dollar) ? $ c) If his income is $175,000 per year, what percent of his monthly income goes to paying his mortgage after 3 years?Donna wants to buy a house for $900,000.00. She makes a 15% down payment and borrows the rest by getting a 30-year mortgage. Her monthly mortgage payment is $3,803.75. What is the principal of her mortgage? What is the total she will pay on the loan?
- 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.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
- Sarah wants to save $20,000 to use for a down payment on a home. She deposits some money into a 4-year certificate of deposit (CD) with an annual interest rate of 4.5% compounded monthly. How much does Sarah need to deposit in the CD to reach her goal of having $20,000 in 4 years? Round your final answer to the nearest dollar.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?Part B) Suppose karen has $2000 each month that she can allocate between mortgage payments and retirement. That is, if she pays $1200 toward her mortgage, then she can put the remaining $800 into her retirement account each month. She plans to retire in 30 years. If she goes with the 15 year home loan, then the first 15 years she will have to split the $2000 between mortgage and retirement, but then the last 15 years she can put all $2000 into her retirement account. If she goes with the 20 year home loan, then the first 20 years she will have to split the $2000 between mortgage and retirement, but then the last 10 years she can put all $2000 into her retirement account. If she goes with the 30 year home loan, then she will split the $2000 between mortgage and retirement for all 30 years. Her best retirement option offers her a nominal rate of 5.5%, compounded monthly. Calculate the value of her retirement account in 30 years under each of the 3 plans. Which plan will give her the…
- 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.Candace borrows $4000 from Nick due in 10 years with simple interest at 8% monthly. Two years after the debt is contracted, Nick needs money. So, he sells the note to a random stranger on the street (To Nick’s defense, the stranger had cash.) for an amount based on 10% monthly. What are the proceeds?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 $1,700