After doing a complex amortization calculation to find the payment, we often will calculate how much interest a borrower pays over the life of the loan. One thing we need to find first is how much the borrower pays back in total (then we can subtract the principal). This calculation is very simple compared with the amortization formula! We just multiply the payment by the number of payments made. For example, if the monthly payments are $300, and the loan is 18 years, then the total amount the borrower pays back, which includes principal and interest, is just: $300 month 12 months year his) (18 18 years 1 $64800. Find the total amount the borrower pays (principal and interest) in each case below: The payments are $312 per month for 60 months (a 5 year loan): $ The payments are $837 per month for 30 years: $

After doing a complex amortization calculation to find the payment, we often will calculate how much interest a borrower pays over the life of the loan. One thing we need to find first is how much the borrower pays back in total (then we can subtract the principal). This calculation is very simple compared with the amortization formula! We just multiply the payment by the number of payments made. For example, if the monthly payments are $300, and the loan is 18 years, then the total amount the borrower pays back, which includes principal and interest, is just: $300 month 12 months year his) (18 18 years 1 $64800. Find the total amount the borrower pays (principal and interest) in each case below: The payments are $312 per month for 60 months (a 5 year loan): $ The payments are $837 per month for 30 years: $

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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Please Use an excel spreadsheet and show all of the steps to solve the following Please: You buy a house of $450,000 today. You put a down payment of 20% and borrow a fixed-rate mortgage of $360,000 with interest rate of 4% and 15 years. After 3 years, your house is appreciated to the value of $550,000 and market interest rate goes up to 6.5%. How much money will you make in book after 3 years?
Suppose your firm is seeking a four year, amortizing $260,000 loan with annual payments and your bank is offering you the choice between a $268,000 loan with a $8,000 compensating balance and a $260,000 loan without a compensating balance. The interest rate on the $260,000 loan is 9.8 percent. How low would the interest rate on the loan with the compensating balance have to be for you to choose it? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Interest rate %
The formula below tells us how to obtain the maturity value on a simple discount loan if we are given the proceeds, the discount rate, and the term. If a loan's annual simple discount rate is 7.56%, how many years would it take for the debt to double? (This is called the doubling time of a loan). Round your answer to the nearest tenth of a year. Hint: divide both sides of the equation by P. If M is twice as much as P, what should the fraction on the left-hand side equal?
If we know that the interest amount we will owe at the end of a year is $500 on a loan of 5,500, our interest rate must be:
Watch the video and then solve the problem given below. Click here to watch the video. You are considering a loan with an annual rate of 8%. The mortgage is $130,000 with 180 monthly payments of $1242.35 for 15 years. Complete the first two months of the amortization table. (Simplify your answers. Round to the nearest cent as needed.) Payment number Interest payment Principal payment Balance of loan 1
Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $x million is 1-x. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan. b) Compute the 1-year 99% VaR and ES for the portfolio of both loans. c) Does the VaR and the ES satisfy the subadditivity property in this case?
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 $200,000 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 $800,000 mortgage, and is offering a standard 30-year mortgage at a 9% 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, $800,000 loan at…
Suppose you bought a condo for $100,000 financing it with a $20,000 down payment of your own funds and an $80,000 mortgage loan from a bank. Assume that the market value of your condo has now risen to $120,000. Ignoring interest and other costs, and assuming the loan amount is still $80,000, calculate your rate of return on your asset (ROA) and your rate of return on equity (ROE).
A loan officer states, "Thousands of dollars can be saved by switching to a 15-year mortgage from a 30-year mortgage." Calculate the difference in required monthly payments on a 30-year mortgage loan at a rate of 3.5% vs. a 15-year mortgage at a rate of 3.0%. Assume both mortgages are for $100,000 and require monthly payments. Then, comment on what you notice and where do the "savings" come from?
You want to buy a car, and the local bank will lend you $20,000. The loan will be fully amortized over 5 years (60 months) and the nominal interest rate will be 12%. The interest will be paid monthly. What will be the monthly loan payment? draw a time line and identify the known variables and unknown variables as if you were to input in EXCEL.
Use an excel spreadsheet to show steops to solve the following : You buy a house of $450,000 today. You put a down payment of 20% and borrow a fixed-rate mortgage of $360,000 with interest rate of 4% and 15 years. After 3 years, your house is appreciated to the value of $550,000 and market interest rate goes up to 6.5%. How much money will you make in book after 3 years?
An accounting firm agrees to purchase a computer for $130,000 (cash on delivery) and the delivery date is in 270 days. How much do the owners need to deposit in an account paying 0.55%compounded quarterly so that they will have $130,000 in 270 days? (a) State the type. sinking fundamortization ordinary annuitypresent valuefuture value (b) Answer the question. (Round your answer to the nearest cent.)

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