Question

In: Finance

Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated...

Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender.

You’ve decided to buy a house that is valued at $1 million. You have $300,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $700,000 mortgage, and is offering a standard 30-year mortgage at a 10% fixed nominal interest rate (called the loan’s annual percentage rate or APR). Under this loan proposal, your mortgage payment will be   per month. (Note: Round the final value of any interest rate used to four decimal places.)

Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $700,000 loan at a fixed nominal interest rate of 10% (APR), then the difference in the monthly payment of the 15-year mortgage and 30-year mortgage will be   ?(Note: Round the final value of any interest rate used to four decimal places. )

It is likely that you won’t like the prospect of paying more money each month, but if you do take out a 15-year mortgage, you will make far fewer payments and will pay a lot less in interest. How much more total interest will you pay over the life of the loan if you take out a 30-year mortgage instead of a 15-year mortgage?

$1,183,258.37

$857,433.60

$1,097,515.01

$1,011,771.65

Which of the following statements is not true about mortgages?

The ending balance of an amortized loan contract will be zero.

Mortgages always have a fixed nominal interest rate.

The payment allocated toward principal in an amortized loan is the residual balance—that is, the difference between total payment and the interest due.

Mortgages are examples of amortized loans.

Solutions

Expert Solution

1.

Calculating Monthly Payment,

Using TVM Calculation,

PMT = [PV = 700,000, T = 360, I = 0.10/12, FV = 0]

PMT = $6,143

Monthly Payment = $6,143

2.

Calculating Monthly Payment,

Using TVM Calculation,

PMT = [PV = 700,000, T = 180, I = 0.10/12, FV = 0]

PMT = $7,522.24

Difference in monthly payment = 7,522.24 - 6,143

Difference in monthly payment = $1,379.24

3.

Difference in Interest Paid = 360(6,143) - 180(7,522.24)

Difference in Interest Paid = $857,433.60

4.

The payment allocated toward principal in an amortized loan is the residual balance—that is, the difference between total payment and the interest due.

This statement is false.


Related Solutions

Mortgage payments Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and...
Mortgage payments Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender. You’ve decided to buy a house that is valued at $1 million. You have $100,000 to use as a down payment on the house, and want to take out a mortgage for...
Question 1. Samples of n = 4 items are taken from a process at regular intervals....
Question 1. Samples of n = 4 items are taken from a process at regular intervals. A normally distributed quality characteristic is measured and x-bar and s values are calculated at each sample. After 50 subgroups have been analyzed, we have ? x?i = 1,000 and ? si = 72 (A) Compute the control limit for the x and s control charts (B)Assume that all points on both charts plot within the control limits. What are the natural tolerance limits...
You are considering two loans to finance a purchase of a property valued at $100,000 at...
You are considering two loans to finance a purchase of a property valued at $100,000 at LTV of 70%. Loan A is a fixed-rate mortgage with amortization term of 30 years. The annual interest rate is 8% and the payments are made monthly. Prepayment penalty if the loan is paid off within first 10 years is 3%. Loan B is an adjustable rate mortgage with an amortization term of 30 years. The initial rate is 4%, but the rate is...
samples of n=4 items each are taken from a manufacturing process at regular intervals. a quality...
samples of n=4 items each are taken from a manufacturing process at regular intervals. a quality characteristic is measured, and x-bar and r values are calculated for each sample. after 25 samples, we have: x-bar = 107.5 r = 12.5 assume that the quality characteristic is normally distributed. a)compute control limits for the x-bar and r control charts b)estimate the process mean and standard deviation c)assuming that the process is in control, what are the natural tolerance limits of the...
Consider annuities which have equal payments spread over equal intervals of time. A simple or regular...
Consider annuities which have equal payments spread over equal intervals of time. A simple or regular ordinary annuity possesses two important properties. State these two important properties.
Chelsea Finance Company receives fixed inflow payments from its provision of fixed rate loans. Its outflow...
Chelsea Finance Company receives fixed inflow payments from its provision of fixed rate loans. Its outflow payments are floating-rates. a) Describe the interest rate risk faced by Chelsea. How can Chelsea use swap to hedge against the interest rate risk? b) If Chelsea expects interest rate to fall, what feature can it add to the swap to protect itself from losing too much? c) What are the main risks associated with swaps?
1. You are considering the purchase of a $250,000 house using a regular fixed rate mortgage...
1. You are considering the purchase of a $250,000 house using a regular fixed rate mortgage loan with a 20% down payment; what is the monthly payment (not including taxes and insurance) using a 30-year (5.0%), 20-year (4.50%), and a 15-year (4.00%)? How much total interest would you pay using the three different loans over the course of the loan? What are the reasons you would consider using a 5/1 adjustable rate mortgage? Would it be beneficial in today’s current...
6. You are considering the purchase of a $250,000 house using a regular fixed rate mortgage...
6. You are considering the purchase of a $250,000 house using a regular fixed rate mortgage loan with a 20% down payment; what is the monthly payment (not including taxes and insurance) using a 30-year (5.0%), 20-year (4.50%), and a 15-year (4.00%)? How much total interest would you pay using the three different loans over the course of the loan? What are the reasons you would consider using a 5/1 adjustable rate mortgage? Would it be beneficial in today’s current...
A) How do you solve for loan amounts and fixed payments for fully-amortized loans? B) How...
A) How do you solve for loan amounts and fixed payments for fully-amortized loans? B) How do you construct a loan amortization schedule? C) How do the various components of the loan amortization schedule change as the term of the loan progresses? EXTRA: EXCEL:How do you use Excel functions to compute the FVA, PVA and PMT?
Tom wants to purchase a property for $300,000. He can borrow a 80% LTV fixed-rate loan,...
Tom wants to purchase a property for $300,000. He can borrow a 80% LTV fixed-rate loan, with 4.5% annual interest rate and a 3% origination fee. Or, he can borrow a 90% LTV fixed-rate loan, with 5.5% annual interest rate, and a 3% origination fee. Both loans have a 30 year amortization period. If he plans to prepay the loan at the end of 3rd year, what will be the incremental cost of borrowing for him to to borrow the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT