Gavin and Holly purchased a $640,000 condominium in Toronto. They paid 20% of the amount as a down payment and secured a 25-year mortage for the balance. They negotiated a fixed interest rate of 3.2% compounded semi-annually for a 5-year term with repayments made at the end of every month. Their mortgage contract also stated that they may prepay up to 15% of the original principal every year without at interest penalty. At the end of the first year, in addition to the regular monthly payment, they made a lump-sum payment of $22,000. a. What was the size of the monthly payment? $0.00 Round to the nearest cent b. What was the principal balance at the end of the first year, prior to make the lump sum payment? $0.00 Round to the nearest cent c. By how much did the amortization period shorten after they made the lump sum payment at the end of the first year? 0 months

Gavin and Holly purchased a $640,000 condominium in Toronto. They paid 20% of the amount as a down payment and secured a 25-year mortage for the balance. They negotiated a fixed interest rate of 3.2% compounded semi-annually for a 5-year term with repayments made at the end of every month. Their mortgage contract also stated that they may prepay up to 15% of the original principal every year without at interest penalty. At the end of the first year, in addition to the regular monthly payment, they made a lump-sum payment of $22,000. a. What was the size of the monthly payment? $0.00 Round to the nearest cent b. What was the principal balance at the end of the first year, prior to make the lump sum payment? $0.00 Round to the nearest cent c. By how much did the amortization period shorten after they made the lump sum payment at the end of the first year? 0 months

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Gavin and Holly purchased a $665,000 condominium in Toronto. They paid 20% of the amount as a down payment and secured a 25-year mortage for the balance. They negotiated a fixed interest rate of 4.2% compounded semi-annually for a 5-year term with repayments made at the end of every month. Their mortgage contract also stated that they may prepay up to 15% of the original principal every year without at interest penalty. At the end of the first year, in addition to the regular monthly payment, they made a lump-sum payment of $27,000. a. What was the size of the monthly payment? Round to the nearest cent b. What was the principal balance at the end of the first year? Round to the nearest cent c. By how much did the amortization period shorten after they made the lump sum payment at the end of the first year?
Gavin and Holly purchased a $735,000 condominium in Toronto. They paid 20% of the amount as a down payment and secured a 25-year mortage for the balance. They negotiated a fixed interest rate of 3.3% compounded semi-annually for a 5-year term with repayments made at the end of every month. Their mortgage contract also stated that they may prepay up to 15% of the original principal every year without at interest penalty. At the end of the first year, in addition to the regular monthly payment, they made a lump-sum payment of $24,000. a. What was the principal balance at the end of the first year, prior to make the lump sum payment? b. By how much did the amortization period shorten after they made the lump sum payment at the end of the first year?
The Flemings secured a bank loan of $400,000 to help finance the purchase of a house. The bank charges interest at a rate of 4%/year on the unpaid balance, and interest computations are made at the end of each month. The Flemings have agreed to repay the loan in equal monthly installments over 25 years. What should be the size of each repayment if the loan is to be amortized at the end of the term? (Round your answer to the nearest cent.)
The Flemings secured a bank loan of $280,000 to help finance the purchase of a house. The bank charges interest at a rate of 3%/year on the unpaid balance, and interest computations are made at the end of each month. The Flemings have agreed to repay the loan in equal monthly installments over 25 years. What should be the size of each repayment if the loan is to be amortized at the end of the term? (Round your answer to the nearest cent.)The Flemings secured a bank loan of $280,000 to help finance the purchase of a house. The bank charges interest at a rate of 3%/year on the unpaid balance, and interest computations are made at the end of each month. The Flemings have agreed to repay the loan in equal monthly installments over 25 years. What should be the size of each repayment if the loan is to be amortized at the end of the term? (Round your answer to the nearest cent.)The Flemings secured a bank loan of $280,000 to help finance the purchase of a house. The bank charges interest at a…
Priya and Ronnie borrow $500,000 from the EastSide bank, to be paid back through monthly repayments over 12 years, with the first repayment to occur one month after taking out the loan. EastSide charges at interest j12 = 6.12% p.a. Under the terms of the loan, Priya and Ronnie will pay interest only for the first 2 years of the loan. At that point the loan will change to a fully amortized (principal and interest) loan, which will apply for the final 10 years of the loan’s duration. a) Illustrate the cash flows associated with loan as a fully labelled timeline diagram. b) Determine the size of the monthly repayments during the first two years of the loan. c) Determine the size of the monthly repayments during the last 10 years of the loan. d) Find the Outstanding Principal immediately after Priya and Ronnie’s 141st repayment. e) Construct an amortization schedule showing the last 3 repayments. [Ensure that you show your working for one line of the amortization schedule.] f)…
The Taylors agreed to monthly payments rounded up to the nearest $100.00 on a mortgage of $136,000.00 amortized over 15 years. Interest for the first five years was 8.5% compounded semi-annually. After 30 months, as permitted by the mortgage agreement, the Taylors increased the rounded monthly payment by 10%. How many fewer payments will the Taylors need to make to amortize the mortgage by increasing the payments? Select one: O a. 35 payments O b. 71 payments 18 payments O d. 114 payments
A couple has made monthly payments (of equal size, rounded to the nearest cent) over the past 10 years on a 15-year mortgage of $64,000 with Bank of America. The stated annual rate on the mortgage is 5%, compounded semi-annually. They are going to renegotiate their mortgage so that they can pay off their loan over the next 10 years at a higher rate of 7% per year compounded semi-annually. The first payment at the new rate will be made at the end of the current month following the renegotiation. What will be the size of their new payment?
Marcel Thiessen purchased a home for $209,300 and obtained a 15-year, fixed-rate mortgage at 10% after paying a down payment of 10%. Of the first month's mortgage payment, how much is interest and how much is applied to the principal? (Round your answer to the nearest cent.)
A couple bought a business to rent apartments near St Clair's College in North York. They purchased it for $800,000. They made a down payment of 30% of the value of the rental business and received the rest of the purchase price in a 25-years amortized mortgage from Royal Bank Canada. The interest rate was 5.80% compounded semi-annually and the payments were at the end of each month. The interest rate was fixed for a 3-year term. a) What is the amount of down payment? What was the amount left to be amortized over the 25 years? b) How many payments are there over the 25-year amortization? c) What would be the monthly periodic interest rate be? d) Calculate the monthly payment amount.
Michael Sanchez purchased a condominium for $83,000. He made a 20% down payment and financed the balance with a 30 year, 5% fixed-rate mortgage. (Round your answers to the nearest cent. Use this table, if necessary.) (a) What is the amount (in $) of the monthly principal and interest portion, PI, of Michael's loan? $ (b) Construct an amortization schedule for the first four months of Michael's mortgage. PaymentNumber MonthlyPayment(in $) MonthlyInterest(in $) Portion Usedto ReducePrincipal(in $) LoanBalance(in $) 0 $ 1 $ $ $ $ 2 $ $ $ $ 3 $ $ $ $ 4 $ $ $ $ (c) If the annual property taxes are $1,610 and the hazard insurance premium is $760 per year, what is the total monthly PITI of Michael's loan (in $)? $ Table 14-1: Monthly Payments to Amortize Principal and Interest per $1,000 Financed Monthly Payments(Necessary to amortize a loan of $1,000) InterestRate (%) 5Years 10Years 15Years 20Years 25Years 30Years 35Years 40Years…
Michael Sanchez purchased a condominium for $76,000. He made a 20% down payment and financed the balance with a 30 year, 5% fixed-rate mortgage. (Round your answers to the nearest cent. Use this table, if necessary.) (a) What is the amount (in $) of the monthly principal and interest portion, PI, of Michael's loan? $ (b) Construct an amortization schedule for the first four months of Michael's mortgage. PaymentNumber MonthlyPayment(in $) MonthlyInterest(in $) Portion Usedto ReducePrincipal(in $) LoanBalance(in $) 0 $ 1 $ $ $ $ 2 $ $ $ $ 3 $ $ $ $ 4 $ $ $ $
Michael Sanchez purchased a condominium for $73,000. He made a 20% down payment and financed the balance with a 30 year, 5% fixed-rate mortgage. (Round your answers to the nearest cent. Use this table, if necessary.) (a) What is the amount (in $) of the monthly principal and interest portion, PI, of Michael's loan? $ (b) Construct an amortization schedule for the first four months of Michael's mortgage. PaymentNumber MonthlyPayment(in $) MonthlyInterest(in $) Portion Usedto ReducePrincipal(in $) LoanBalance(in $) 0 $ 1 $ $ $ $ 2 $ $ $ $ 3 $ $ $ $ 4 $ $ $ $ (c) If the annual property taxes are $1,640 and the hazard insurance premium is $730 per year, what is the total monthly PITI of Michael's loan (in $)? $

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