Question

In: Finance

A mortgage of 198,000 is to be amortized by monthly payments over 22.5 years. If the...

A mortgage of 198,000 is to be amortized by monthly payments over 22.5 years. If the payments are mafe at the end of each month and interest is 8.75% compounded semi-amnually, what is the size of monthly payments?

Solutions

Expert Solution

First we have to compute the semi-annual rate to EAR and then monthly rate
EAR = 8.94%
(1+8.75%/2)^2-1
Annual rate compounding monthly = 8.59%
((1+8.94%)^(1/12)-1)*12
Put in calculator
FV 0
PV -198000
I 8.59%/12 0.7162%
N 22.5*12 270
compute PMT $1,659.78
ans = $1,659.78

Related Solutions

Consider a mortgage loan of $300,000, to be amortized over thirty years with monthly payments. If...
Consider a mortgage loan of $300,000, to be amortized over thirty years with monthly payments. If the annual percentage rate on this mortgage is 4% : What is the monthly payment on this loan? What is the balance of this loan AFTER the 14th payment is made? How much of the 8th payment is allocated to interest? How much of the 19th payment is allocated to principal?
) A $30 000.00 mortgage is amortized by monthly payments over twenty years and is renewable...
) A $30 000.00 mortgage is amortized by monthly payments over twenty years and is renewable after five years. a) If the interest rate is 8.5% compounded semi-annually, calculate the outstanding balance at the end of the five-year term. b) If the mortgage is renewed for a further three-year term at 8% compounded semi-annually, calculate the size of the new monthly payment. c) Calculate the payout figure at the end of the three-year term.
An $600,000 Mortgage is amortized by monthly payments over 25 years. The interest rate charged is...
An $600,000 Mortgage is amortized by monthly payments over 25 years. The interest rate charged is 4% compounded semi-annually. 1.What is the size of the monthly payment to the nearest dollars? 2.How much interest paid in the first payment? 3.What is the outstanding balance after the first payment?
The Grewals agreed to monthly payments on a mortgage of $363,000.00 amortized over 25 years. Interest...
The Grewals agreed to monthly payments on a mortgage of $363,000.00 amortized over 25 years. Interest for the first five years was 4.3% compounded semi-annually. a. Determine the Grewals’ monthly payments. b. Determine the balance owing after the 5-year term. c. Before renewing for another term of 5 years at 4.5% compounded semiannually, the Grewals make an additional payment of $21,000. If they keep the same monthly payments, by how much will the amortization period be shortened? note; sir i...
The Grewals agreed to monthly payments on a mortgage of $336,000.00 amortized over 20 years. Interest...
The Grewals agreed to monthly payments on a mortgage of $336,000.00 amortized over 20 years. Interest for the first five years was 4.5% compounded semi-annually. a. Determine the Grewals’ monthly payments. b. Determine the balance owing after the 5-year term. c. Before renewing for another term of 5 years at 4.3% compounded semiannually, the Grewals make an additional payment of $12,000. If they keep the same monthly payments, by how much will the amortization period be shortened?
A $86,000 mortgage is to be amortized by making monthly payments for 25 years. Interest is...
A $86,000 mortgage is to be amortized by making monthly payments for 25 years. Interest is 5.1% compounded semi-annually for a six-year term. ​(a) Compute the size of the monthly payment. ​(b) Determine the balance at the end of the six-year term. ​(c) If the mortgage is renewed for a six-year term at 6​% compounded semi-annually, what is the size of the monthly payment for the renewal​ term? ​(a) The size of the monthly payment is ​$__. ​(Round the final...
A $95,000 mortgage is to be amortized by making monthly payments for 25 years. Interest is...
A $95,000 mortgage is to be amortized by making monthly payments for 25 years. Interest is 8.6% compounded semi-annually for a six​-year term. ​(a)Compute the size of the monthly payment. ​(b) Determine the balance at the end of the six-year term. ​(c)If the mortgage is renewed for a six-year term at 6​% compounded semi-annually, what is the size of the monthly payment for the renewal​ term? ​(a) The size of the monthly payment is $__.(Round the final answer to the...
A mortgage of $100,000 is amortized over 25 years using level payments at the end of...
A mortgage of $100,000 is amortized over 25 years using level payments at the end of each quarter and the first interest payment at the end of the first quarter is $2411.37. Calculate the 62nd principal payment amount. a. 1074.21 b. 1048.92 c. 1100.11 d. 1024.22 e. None of these answers
A loan amount of L is amortized over six years with monthly payments (at the end...
A loan amount of L is amortized over six years with monthly payments (at the end of each month) at a nominal interest rate of i(12) compounded monthly. The first payment is 500 and is to be paid one month from the date of the loan. Each subsequent payment will be 1% larger than the prior payment. (a) If i(12) = 9%, find the principal repaid in the 25th payment. (b) If i(12) = 12%, find the amount of loan...
Question 1 of 8 A $200,000 mortgage was amortized over 15 years by monthly repayments. The...
Question 1 of 8 A $200,000 mortgage was amortized over 15 years by monthly repayments. The interest rate on the mortgage was fixed at 6.82% compounded semi-annually for the entire period. a. Calculate the size of the payments. Round up to the next 100 b. Using the payment from part a., calculate the size of the final payment.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT