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 an X% mortgage with 0.80 points. You plan on living in the house for exactly 31 months, paying only the required payment each month, and without refinancing your mortgage. What rate for the mortgage with points will make you indifferent between the two mortgages? Calculate a nominal rate, with monthly compounding. 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. Enter your answer in decimal format, to 4 decimal places. truncated. For example, if your answer is 5.518%, answer "0.0551".

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 an X% mortgage with 0.80 points. You plan on living in the house for exactly 31 months, paying only the required payment each month, and without refinancing your mortgage. What rate for the mortgage with points will make you indifferent between the two mortgages? Calculate a nominal rate, with monthly compounding. 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. Enter your answer in decimal format, to 4 decimal places. truncated. For example, if your answer is 5.518%, answer "0.0551".

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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You are interested in purchasing a house but unfortunately you don't have any money for a down payment. Luckily the house you are looking at buying is only $325, 000 and the bank currently has an offer where they will lock in your interest rate for the entire length of the mortgage. The rate that they are offering is 4.5% interest over 15 years. Develop a worksheet that will show the monthly payment, the beginning and ending balance for each year of the loan, the annual cost of the loan, and the annual interest paid for each year of the loan. Please show Formulas
Many mortgage lenders offer a way to lower your interest rate by paying some of the interest up front. This prepaid interest is known in the industry as points. Each point corresponds to 1% of the amount borrowed. In short, you're paying a fee to lower your interest rate. A lender offers you a 10-year fixed mortgage of $150,000 at 2.8% interest when you buy 1 point. Find the monthly payment. Do not round intermediate calculations. Round your answer to the nearest centavo. The monthly payment would be S x
You have just sold your house for $950,000 in cash. Your mortgage was originally a 30-year mortgage with monthly payments and an initial balance of $740,000. The mortgage is currently exactly 18.5 years old, and you have just made a payment. If the interest rate on the mortgage is 6.75% (APR), how much cash will you have from the sale once you pay off the mortgage? (Note: Be careful not to round any intermediate steps less than six decimal places.) Cash that remains after payoff of mortgage is $ (Round to the nearest cent.)
Phil Pittman is interested in a fixed-rate mortgage for $400,000. He is undecided whether to choose a 15- or 30-year mortgage. The current mortgage rate is 4.5% for the 15-year mortgage and 5% for the 30-year mortgage. (Round your answers to the nearest dollar. Use this table, if necessary.)
Phil Pittman is interested in a fixed-rate mortgage for $200,000. He is undecided whether to choose a 15- or 30-year mortgage. The current mortgage rate is 8% for the 15-year mortgage and 8.5% for the 30-year mortgage. (Round your answers to the nearest dollar. Use this table, if necessary.) (a) What are the monthly principal and interest payments (in $) for each loan? 15-year mortgage $ 1,911.304 30-year mortgage $ 1,537.827 (b) What is the total amount of interest (in $) paid on each loan? 15-year mortgage $ 30-year mortgage $ (c) Overall, how much more interest (in $) is paid by choosing the 30-year mortgage?
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
Phil Pittman is interested in a fixed-rate mortgage for $300,000. He is undecided whether to choose a 15- or 30-year mortgage. The current mortgage rate is 4.5% for the 15-year mortgage and 5% for the 30-year mortgage. (Round your answers to the nearest dollar. Use this table, if necessary.) (a) What are the monthly principal and interest payments (in $) for each loan? 15-year mortgage $________ 30-year mortgage $________ (b) What is the total amount of interest (in $) paid on each loan? 15-year mortgage$ _______ 30-year mortgage$ _______ (c) Overall, how much more interest (in $) is paid by choosing the 30-year mortgage? $
You are considering buying a new house, and have found that a $250,000, 30-year fixed-rate mortgage is available with an interest rate of 8 percent. This mortgage requires 360 monthly payments of approximately $1,786 each. If the interest rate rises to 9 percent, what will happen to your monthly payment?

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