that to calculate the po The monthly payment on a 30 year $200,000 mortgage at 4.2% interest compounded monthly is $978.03. Let yn be the unpaid balance of the mortgage after n months. Solve the difference guation and find what the unpaid balance is after 15 years.
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Mortgages
A mortgage is a formal agreement in which a bank or other financial institution lends cash at interest in return for assuming the title to the debtor's property, on the condition that the obligation is paid in full.
Mortgage
The term "mortgage" is a type of loan that a borrower takes to maintain his house or any form of assets and he agrees to return the amount in a particular period of time to the lender usually in a series of regular equally monthly, quarterly, or half-yearly payments.
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- Suppose you purchase a home and obtain a 15-year fixed-rate loan of $195,000 at an annual interest rate of 6.0%. a) What is your monthly payment? N: months I %: P.V: $ PMT: $ F.V: 0 P/Y: 12 C/Y: 12 b) Of the first month's mortgage payment, how much is interest? HINT: I=Prt Interest: I=$ c) Of the first month's mortgage payment, how much is applied to the principal? HINT: PMT - Interest Amount Applied to Principal: $ d) How much is your outstanding balance after the first month’s payment? HINT: Principal - Amount Applied to Principal Outstanding Balance after first payment: $Consider a 30-year home mortgage of $100,000 at 6% per year. What is the monthly payment? Use Theorem 1 as attached to make an amortization schedule of the first 6 months: Month (k) Principal P(k) Interest I(k) Balance due B(k) 1 2 3 4 5 6 where P(k) is the amount paid to the principal in the k’th payment, I(k) is the amount paid to interest in the k’th payment, B(k) is the balance due after the k’th payment.Suppose you purchase a house for $200,000.00 by getting a mortgage for $180,000.00 and paying a $20,000.00 down payment. (i). If you get a 30-year mortgage with a 7% interest rate p.a. compounded quarterly, what are the quarterly payments? (ii). What would the loan balance be at the end of the first year?
- In order to solve this question, would I use the compounded monthly formula and then subtract the balance between the difference? 36. If $50,000 is borrowed for a home mortgage, to be repaid at 10% interest over 30 years, what is the remaining loan balance after 20 years? Assume monthly payments are made. a. $50,000b. $42,957 c. $32,590 D. $33,203e. $20,6511. You have just purchased a home by borrowing $400, 000 for 30-years at a fixed APR of 3.87%. The loan payments are monthly and interest is compounded monthly. What is the periodic interest rate? (l.e., what is the monthly interest rate?) O 0.0129 0.0032 0.0394 0.0013 4The following loan is a simple interest amortized loan with monthly payments. $7000, 7%, 4 years (a) Find the monthly payment. (Give your answer to the nearest cent.) Payment $189.58 (b) Find the total interest for the given simple interest amortized loan. (Give your answer to the nearest cent.) Total interest $ 2100 X
- What would be the sum of all the payments made (i.e., total $s paid over the 30 years, ignoring time value) on the following house mortgage? Loan amount is $175,000 with an interest rate of 6.4% per annum, term of 30 years, and monthly payments. (Round to nearest penny and enter, for example, as 123456.78) Answer:Please show how to solve a. b. and c. using the information below and Excel. Interest-only mortgage with monthly payments and loan amount: $56,000; Term: 15 years; Annual interest rate: 7.5% a. What is the total payment in the 180th month? b. What is the outstanding balance at the end of 10 years (120 months)? c. What is the total interest payment during the entire loan term (180 months)?
- Please show how to solve this problem. Interest-only mortgage with monthly payments and loan amount: $56,000; Term: 15 years; Annual interest rate: 7.5% What is the total payment in the 180th month? What is the outstanding balance at the end of 10 years (120 months)? What is the total interest payment during the entire loan term (180 months)?The following loan is a simple interest amortized loan with monthly payments. $5000, 91%, 4 years (a) Find the monthly payment. (Give your answer to the nearest cent.) Payment $ (b) Find the total interest for the given simple interest amortized loan. (Give your answer to the nearest cent.) Total interest $You have just purchased a home by borrowing $400, 000 for 30-years at a fixed APR of 3.87%. The loan payments are monthly and interest is compounded monthly. What is the effective annual rate on the loan? (I.e., what is the interest rate once we take into account compounding?) 0.0394 2.1239 2.0394 1.0394 O O