You have a loan outstanding. It requires making four annual payments of $8,000 each at the end of the next four years. Your bank has offered to allow you to skip making the next three payments in lieu of making one large payment at the end of the loan's term in four years. If the interest rate on the loan is 2%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment? The final payment the bank will require you to make is S (Round to the nearest dollar)

You have a loan outstanding. It requires making four annual payments of $8,000 each at the end of the next four years. Your bank has offered to allow you to skip making the next three payments in lieu of making one large payment at the end of the loan's term in four years. If the interest rate on the loan is 2%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment? The final payment the bank will require you to make is S (Round to the nearest dollar)

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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After a conversation with your banker, you’ve agreed to a 20% down payment on your $182,188 home. To keep this problem and your calculations relatively brief, assume that the bank has offered you a mortgage loan for $145,750 that carries a 6% interest rate, semiannual payments of $26,905, and a 3-year term. Remember, the process is the same when you are preparing for either 6 semiannual payments of nearly $27,000 or 360 monthly payments of $873.85 for a 30-year conventional mortgage.Complete the following loan amortization table by entering the correct answers. Notes: 1. As all values are denominated in U.S. dollars, you do not have to enter any dollar signs. 2. Round all interest payments down to the nearest whole dollar. 3. Rounding creates a situation in which the numbers in the loan’s final payment are often unequal. Notice in this problem, the ending balance for payment 6 is –$2. Therefore, your final payment would actually be reduced by $2 to $26,903. In the real world,…
You have a loan outstanding. It requires making nine annual payments of $4,000 each at the end of the next nine years. Your bank has offered to allow you to skip making the next eight payments in lieu of making one large payment at the end of the loan's term in nine years. If the interest rate on the loan is 9%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment? The final payment the bank will require you to make is $52084.15. (Round to the nearest cent.)
You want to borrow $59,000 from your local bank to buy a new sailboat. You can afford to make monthly payments of $1,100 but no more. Assuming monthly compounding, what is the hughest rate you can afford on a 66-month APR loan? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places
You are offered an add-on loan for $4,500 at 18% for 5 years. What is the monthly payment? What is the amount of interest? What is the true interest rate cost of this loan? If you could pay the same loan above at a compound rate: What would the monthly payment be? What would the amount of interest be? Prepare a monthly payment schedule for each loan above using Excel, and submit it. Suppose that you are only allowed to make a balloon payment to the principal of the compound interest loan. You have $1,000 to put down at the beginning of year three. How many payments will you save?
You have a loan outstanding. It requires making seven annual payments of $4,000 each at the end of the next seven years. Your bank has offered to allow you to skip making the next six payments in lieu of making one large payment at the end of the loan's term in seven years. If the interest rate on the loan is 6%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment?
You have a loan outstanding. It requires making three annual payments of $8,000 each at the end of the next three years. Your bank has offered to allow you to skip making the next two payments in lieu of making one large payment at the end of the loan's term in three years. If the interest rate on the loan is 5%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment? The final payment the bank will require you to make is $ (Round to the nearest dollar.)
= You would like to buy a house that costs $350,000. You have $55,000 in cash that you can put down on the house, but you need to borrow the rest of the purchase price. The bank is offering a 30-year mortgage that requires annual payments and has an interest rate of 7% per year. You can afford to pay only $23,060 per year. The bank agrees to allow you to pay this amount each year, yet still borrow $295,000. At the end of the mortgage (in 30 years), you must make a balloon payment; that is, you must repay the remaining balance on the mortgage. How much will this balloon payment be? The balloon payment is $ (Round to the nearest cent.)
You are borrowing $250,000 to buy a house, using a standard, 30-year mortgage. Your mortgage lender offers a 5.50% mortgage with no points, or a 5.20% mortgage with X points. You plan on living in the house for exactly 84 months, paying only the required payment each month, and without refinancing your mortgage. What points will make you indifferent between the two mortgages? Use the 5.50% rate to discount cash flows between the two options. Note: all rates in the problem are nominal annual rates with monthly compounding. Recall, 1 point is 1% of the mortgage. Carry your answer to 2 decimal places. For example, if your answer is 1.255 points, answer "1.26". a
You need a 25-year, fixed-rate mortgage to buy a new home for $240,000. Your bank will lend you the money at a 5.35 percent APR for this 300-month loan. However, you can only afford monthly payments of $450, so you offer to pay off any remaining loan balance at the end of the loan in the form of a single balloon payment. How large will this balloon payment have to be for you to keep your monthly payments at $450? (Do not round intermediate calculations. Round the final answer to 2 decimal places.
You want to buy a house that costs $170,000. You have $17,000 for a down payment, but your credit is such that mortgage companies will not lend you the required $153,000. However, the realtor persuades the seller to take a $153,000 mortgage (called no more than $17,000 per year given a seller take-back mortgage) at a rate of 10%, provided the loan is paid off in full in 3 years. You expect to inherit $170,000 in 3 years, but right now all you have is $17,000, and you can afford to make payments your salary. (The loan would call for monthly payments, but assume end-of-year annual payments to simplify things.) a. If the loan was amortized over 3 years, how large would each annual payment be? Do not round Intermediate calculations. Round your answer to the nearest cent. $ Could you afford those payments? -Select- b. If the loan was amortized over 30 years, what would each payment be? Do not round Intermediate calculations. Round your answer to the nearest cent. $ Could you afford those…
You have a loan outstanding. It requires making nine annual payments of $7,000 each at the end of the next nine years. Your bank has offered to allow you to skip making the next eight payments in lieu of making one large payment at the end of the loan's term in nine years. If the interest rate on the loan is 8%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment?
You have just taken out a mortgage of $50,000 for 30 years, with monthly payments at 6% interest. The same day you close on the mortgage you receive a $25,000 gift from your parents to be applied to the mortgage principal. What amount of time will now be required to pay off the mortgage if you continue to make the original monthly payments? What is the amount of the last payment? (Assume any residual partial payment amount is added to the last payment.)

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