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- 3. Suppose you decide to purchase a $150000 home for $20000 down. A down payment is subtracted from your home’s value and therefore you owe $130000. Well to pay for this amount you will need a loan, so $130000 is the principal on your loan. Suppose the interest rate on a 30 year mortgage is 4.5%. What will your monthly payment be? Create an amortization table for this loan. How much will you pay on the loan if you pay off the loan asA borrower is purchasing a property for $1,800,000 and can choose between two possible loan alternatives. The first is a 75% loan for 25 years at 9% interest and 1 point and the second is an 80% loan for 25 years at 9.25% interest and 1 point. Assume the loan term will be 5 years. What is the incremental cost of borrowing the extra money?You want to buy a piece of land and the owner would sell it to you for $20,000 cash. Alternatively, he would let you pay for it with five annual installments of $5,000 each, the first one due right now. What is the implied interest rate here?
- you wish to purchase real property. the lender will give you a 250000 fixed rate 30 year mortgage at 3.5% per annum. suppose that before you can make any payments you receive a pay raise so you can pay an extra 200 per month with your normal payment. how many payments are required to fully amortize the loan assuming the extra 200 is paid each month?A borrower is purchasing a property for $200,000 and can choose between two possible loan alternatives. Loan A is a 90% loan for 25 years at 8% interest and 2 points and Loan B is a 95% loan for 25 years at 8.75% interest and 1 point. Assume the loans will be held to maturity, what is the incremental cost of borrowing the extra money? Assume that the loans will be repaid in 5 years. What is the incremental cost of borrowing the extra money? Rework parts (a) and (b) assuming the lender is charging 3 points on Loan A and 2 point on Loan B. What is the incremental cost of borrowing?Suppose you take out a $117,000, 20-year mortgage loan to buy a condo. The interest rate on the loan is 5%. To keep things simple, we will assume you make payments on the loan annually at the end of each year. a. What is your annual payment on the loan? b. Construct a mortgage amortization. c. What fraction of your initial loan payment is interest? d. What fraction of your initial loan payment is amortization? e. What is the total of the loan amount paid off after 10 years (halfway through the life of the loan)? f. If the inflation rate is 3%, what is the real value of the first (year-end) payment? g. If the inflation rate is 3%, what is the real value of the last (year-end) payment? h. Now assume the inflation rate is 6% and the real interest rate on the loan is unchanged. What must be the new nominal interest rate? i-1. Recompute the amortization table. i-2. What is the real value of the first (year-end) payment in this high-inflation scenario? j. What is the real value of the last…
- A borrower is purchasing a property for $180,000 and can choose between two possible loan alternatives. The first is a 90% loan for 25 years at 9% interest and 1 point and the second is a 95% loan for 25 years at 9.25% interest and 1 point. Assuming the loan will be held to maturity, what is the incremental cost of borrowing the extra money? O 12.01% O 14.34% 13.50% O 13.66%Using a financial calculator, You can buy property today for $2.1 million and sell it in 6 years for $3.1 million. (You earn no rental income on the property.) If the interest rate is 11%, what is the present value of the sales price?A borrower can obtain an 80 percent loan with an 8 percent interest rate and monthly payments. The loan is to be fully amortized over 25 years. Alternatively, he could obtain a 90 percent loan at an 8.5 percent rate with the same loan term. The borrower plans to own the property for the entire loan term. a. What is the incremental cost of borrowing the additional funds? (Hint: The dollar amount of the loan does not affect the answer.) b. What is the incremental cost of borrowing the additional funds if 2 points were charged on the 90 percent loan? c. What is the incremental cost of borrowing the additional funds if the borrower planned to own the property for only five years?
- A borrower can obtain an 80 percent loan with an 8 percent interest rate and monthly payments. The loan is to be fully amortized over 25 years. Alternatively, he could obtain a 90 percent loan at an 8.5 percent rate with the same loan term. The borrower plans to own the property for the entire loan term. a. What is the incremental cost of borrowing the additional funds? (Hint: The dollar amount of the loan does not affect the answer.) b. How would your answer change if two points were charged on the 90 percent loan? c. Would your answer to part (b) change if the borrower planned to own the property for only five years?Suppose you want to purchase a property for $205,000 and you have $30,000 to put down as a down payment. The property has an existing mortgage that can be wrapped. This loan is a fixed-rate mortgage at 7 percent, monthly payments. This loan had an original balance of $150,000 and has 20 years remaining on its original 30-year term. The current market rate for a new fixed-rate loan is 10.50 percent for 20 years. The seller will give you a wrap loan for an amount equal to the purchase price minus the down payment at 8.75 percent, monthly payments. What is the effective equity yield for the wrap lender if the wrap loan is written for a term equal to the remaining term of the existing mortgage and both are held to maturity?You need $20,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 6 years, with the first payment to be made one year from today. He requires a 7% annual return. What will be your annual loan payments? Do not round intermediate calculations. How much of your first payment will be applied to interest and to principal repayment? Do not round intermediate calculations. Round your answers to the nearest cent.