Question

In: Finance

a. Prepare the amortization schedule for a thirty-year loan of $100,000. The APR is 3% and...

a. Prepare the amortization schedule for a thirty-year loan of $100,000. The APR is 3% and the loan calls for equal monthly payments. The following table shows how you should prepare the amortization schedule for the loan. Month Beginning Balance Total Payment Interest Payment Principal Payment Ending Balance 1 $100,000.00

b. Use the annuity formula to find how much principal you still owe to the bank at the end of the third year. Check that this value is the same you have in your amortization schedule.

c. Suppose that in the beginning of the first month of the fourth year the interest rate decreased to 2%. Modify the amortization schedule in order to consider this change in the interest rate (you should change the values in your schedule that occur after the first month of the fourth year, not the ones before this date).

d. Use the annuity formula to find how much principal you still owe to the bank at the end of the fifth year. Check that this value is the same you have in your amortization schedule.

e. Suppose that in beginning of the first month of the fourth year (month 37) you are able to refinance your mortgage at the rate of 3%. Assume that there is no change in the time scheduled to pay the mortgage. If the cost of refinancing is $1,100, should your refinance your mortgage at the new rate of 2%, or keep the initial rate of 3%?

f. You are planning to sell you current house and buy a bigger one sometime in the future, at which point you will pay off your mortgage. For how long will you stay in your current house to be worth the refinancing described in the previous question?

g. Suppose that at the end of the seventh year you earned an unexpected amount of money (for example from your end of year bonus at work) and decided to pay a non-scheduled payment of $5,000 of the principal of the loan. You will keep paying the same monthly total payment that you were paying in the previous months. How can you change your amortization schedule, considering that you will keep paying the same total monthly amount? Prepare a new amortization schedule that accounts for these changes.

Solutions

Expert Solution

EMI = PMT formula in Excel = PMT(3%/12, 30*12,100000,0,0)

Principle Owed at the end of 3rd year (Ending balnce at 36th Month) = $ 93,544.16

Principle Owed at the end of 5rd year (Ending balnce at 60th Month) =$88,211.14

Total Interest Paid for 3% rate (Constant) = $51,777.45

Total Interest Paid for 2% rate (refinance at 4th year Beginning) = 36317.05

Savings due to refinancing = 14360.4

Since savings are more than 1,100 So, You Should refinance your mortgage.

Q. For calculating how long to stay in current house to make refinancing worth = Keep EMI same as 3% rate and refiannce the loan at 2% then see at whihc month Loan is fully paid.

Ans. = You will have to stay for 26 Years and 2 Months in your current house to make refinancing worth.

Q. Earn an extra money of $ 5000 at 7th Year end and pay it toward principle of Loan (Assume Initial 3% Rate)

A. 8th Year Beginning Balance = 7th Year Ending Balance - $ 5000 = $ 78,982.15;

Keeping EMI same as Previous Months, Loan will be fully paid at the End of 28 Year and 2 Months.

Formula Previous Month Enidng balnce PMT Formula Same as EMI, but if beginning balance less than EMI, then Beginning Balance Beginining Balance * Interest rate /12 EMI-Interest Payment Beginning Balance - Principle Payment
Month Beginning Balance EMI Total Payment Interest Payment Principle Payment Ending Balance

1

100000 421.6 421.6 250 171.6 99828.4
2 99828.4 421.6 421.6 249.57 172.03 99656.36
3 99656.36 421.6 421.6 249.14 172.46 99483.9
Same like above rows, there will be total 360 rows Total.
This solution is provided with detailed explanation. Please discuss in case of Doubt.
Best of Luck. God Bless
Please Rate Well :)

Related Solutions

Prepare the amortization schedule for a thirty-year variable interest loan with monthly payments of $250,000 at...
Prepare the amortization schedule for a thirty-year variable interest loan with monthly payments of $250,000 at an APR of 6.8%.
a. Prepare the amortization schedule for a thirty-year variable interest loan with monthly payments of $250,000...
a. Prepare the amortization schedule for a thirty-year variable interest loan with monthly payments of $250,000 at an APR of 6.8%. specifies monthly compounding. b.What is the interest payment and principal amounts in the 110th payment? c. Use the annuity formula to find how much principal you still owe to the bank for the 110th payment. Check that this value is the same you have in your amortization schedule. d. How much in total interest will you pay? e. Suppose...
Prepare an amortization schedule for a three-year loan of $24,000.
Prepare an amortization schedule for a three-year loan of $24,000. The interest rate is 16 percent per year, and the loan calls for equal principal payments.
Amortization with Equal Payments. Prepare an amortization schedule for a three-year loan of $57,000. The interest...
Amortization with Equal Payments. Prepare an amortization schedule for a three-year loan of $57,000. The interest rate is 8 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loan?
a)Prepare an amortization schedule for a 10-year loan of $300,000. The interest rate is 12% and...
a)Prepare an amortization schedule for a 10-year loan of $300,000. The interest rate is 12% and the loan calls for equal payments. How much interest is paid in the fifth year? How much interest is paid over the life of the loan? b)What is the present value of $2,625 per year at a discount rate of 8%, if the first payment is received six years from now and the last payment is received 20 years from now?
Prepare a schedule showing the amortization of a $12,000 loan to be repaid in 10 end-of-year...
Prepare a schedule showing the amortization of a $12,000 loan to be repaid in 10 end-of-year installments that include interest at a rate of 6%. Jared and Courtney Jill own a parcel of fertile farm land which a local farmer has offered to rent for a period of 10 years. He is willing to make a payment of $20,000 today or pay an ordinary annuity of $3,400 at the end of each of the next 10 years. Which payment method...
complete an amortization schedule for the following loan. the loan is $100,000 at 3.5% interest, amortized...
complete an amortization schedule for the following loan. the loan is $100,000 at 3.5% interest, amortized on a YEARLY basis over five (5) years.
Prepare an amortization schedule for a three-year loan of $111,000. The interest rate is 10 percent...
Prepare an amortization schedule for a three-year loan of $111,000. The interest rate is 10 percent per year, and the loan calls for equal annual payments. How much total interest is paid over the life of the loan? (Leave no cells blank. Enter '0' where necessary. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Year Beginning Balance Total Payment Interest Payment Principal Payment Ending Balance 1 $ 111000 $ $ $ $ 2...
Prepare an amortization schedule for a five-year loan of $84,000. The interest rate is 8% per...
Prepare an amortization schedule for a five-year loan of $84,000. The interest rate is 8% per year and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loan? Provide another amortization schedule if you must pay $8,400 toward the principle each year instead of equal annual payments. How much interest is paid in the third year? Explain why the third year interest...
Prepare an amortization schedule for a five-year loan of $55,000. The interest rate is 8 percent...
Prepare an amortization schedule for a five-year loan of $55,000. The interest rate is 8 percent per year, and the loan calls for equal annual payments. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Leave no cells blank - be certain to enter "0" wherever required.)    Year Beginning Balance Total Payment Interest Payment Principal Payment Ending Balance 1 $ $ $ $ $    2    3    4    5    How...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT