A couple borrows $300,000 at an APR of 4.8% compounded monthly on a 30-year mortgage with monthly payments of $1,574. (a) How much of the first payment goes to interest? (b) Find the total interest paid over the life of the loan. (c) After making their 70th payment, they refinance the loan at an APR of 3.6% compounded monthly for 15 years. The refinanced amount includes the unpaid balance from the original loan plus a refinance charge of $2,000. Find the new monthly payment. (d) Find the amount saved by refinancing.

A couple borrows $300,000 at an APR of 4.8% compounded monthly on a 30-year mortgage with monthly payments of $1,574. (a) How much of the first payment goes to interest? (b) Find the total interest paid over the life of the loan. (c) After making their 70th payment, they refinance the loan at an APR of 3.6% compounded monthly for 15 years. The refinanced amount includes the unpaid balance from the original loan plus a refinance charge of $2,000. Find the new monthly payment. (d) Find the amount saved by refinancing.

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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Concept explainers

Amortized Loans

The term "amortization" refers to spreading the value of a loan or a debt over a series of regular payments or installments comprising of both the principal and interest amount. It generally involves the process where in the value of a loan or an intangible asset is written down over its maturity period.

Question

A couple borrows $300,000 at an APR of 4.8% compounded monthly on a 30-year
mortgage with monthly payments of $1,574.
(a) How much of the first payment goes to interest?
(b) Find the total interest paid over the life of the loan.
(c) After making their 70th payment, they refinance the loan at an APR of 3.6% compounded
monthly for 15 years. The refinanced amount includes the unpaid balance from the
original loan plus a refinance charge of $2,000. Find the new monthly payment.
(d) Find the amount saved by refinancing.

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