1. You have just taken out a 30‑year mortgage on your new home for $126,142. This mortgage is to be repaid in 360 equal monthly installments. If the stated (nominal) annual interest rate is 15.4 percent, what is the amount of each of the monthly installments? (Note: The convention when periodic payments are involved is to assume that the compounding frequency is the same as the payment frequency, unless stated otherwise. Thus this implies 15.4 % APR, compounded monthly for this problem. To compute the correct payment, do not round your interest rate too much.)
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2. A bank is paying 7.5% APR on a CD. (Note: The convention when there are no periodic payments is to assume annual compounding, unless stated otherwise. Thus this is annual compounding.) If you put $2,604 into an account, how much will the account be worth in 5 years? Answer to 2 decimal places. |
1. You have just taken out a 30‑year mortgage on your new home for $126,142. This...
you have just taken out a 30 year $120,000 mortgage on your new home. This mortgage is to be repaid in 360 equal monthly installments. if the stated (nominal) annual interest rate is 15.73 percent, what is the amount of interest portion of the FIRST installment?
you have just taken out a 30 year, $120,000 mortgage on your new home. this mortggage is to be repaid in 360 equal monthly installments. if the stated (nominal) annual interest rate is 13.95 %, what is the amount of the INTEREST PORTION od the FIRST monthly installment?
Your have just sold your house for $1,050,000 in cash. Your mortgage was originally a 30-year mortgage with monthly payments and an initial balance of $750,000. The mortgage is currently exactly 18.5 years old, and you have just made a payment. If the interest rate on the mortgage is 7.75% (APR with semi-annual compounding), how much cash will you have from the sale once you pay off the mortgage? a) The discount rate for the mortgage is___? b) Mortgage payments...
You have just purchased a home and taken out a $ 510,000 mortgage. The mortgage has a 30-year term with monthly payments and an APR of 7.12 %. a. How much will you pay in interest, and how much will you pay in principal, during the first year? b. How much will you pay in interest, and how much will you pay in principal, during the 20th year (i.e., between 19 and 20 years from now)?
You are considering refinancing your home. Under the original terms of your mortgage you borrowed $250,000 to be repaid with equal monthly payments over 30 years. The APR on the loan was 4.5%. You have 20 years of payments remaining. If you now can refinance the remaining loan with no prepayment penalties at a 3.5% APR by how much will your monthly payment drop? What is the present value of your savings if your opportunity cost is represented by an...
3. Interest Rates You have just purchased a home and taken out a $460,000 mortgage. The mortgage has a 30-year term with monthly payments and an APR of 6.08%. a. How much will you pay in interest, and how much will you pay in principal, during the first year? b. How much will you pay in interest, and how much will you pay in principal, during the 20th year (i.e., between 19 and 20 years from now)? 6. Bond Valuation...
Assume that you have a 30 year fully-amortized fixed rate mortgage for your home. Your loan amount is $300,000 with a 3% annual interest rate. After 28 years, you would like to sell the property. What is your loan balance at the end of 28 years? Assume that you have a 30 year fully-amortized fixed rate mortgage for your home. Your loan amount is $300,000 with a 3% annual interest rate and your balloon payment is $50,000. What is your...
You have just sold your house for $1,100,000 in cash. Your mortgage was originally a 30-year mortgage with monthly payments and an initial balance of $800,000. The mortgage is currently exactly 18½ years old, and you have just made a payment. If the interest rate on the mortgage is 5.25% (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.)
You have just sold your house for $1,100,000 in cash. Your mortgage was originally a 30-year mortgage with monthly payments and an initial balance of $800,000. The mortgage is currently exactly 18½ years old, and you have just made a payment. If the interest rate on the mortgage is 5.25% (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.)...
You have just sold your house for $1,100,000 in cash. Your mortgage was originally a 30-year mortgage with monthly payments and an initial balance of $750,000. The mortgage is currently exactly 1872 years old, and you have just made a payment. If the interest rate on the mortgage is 7.75% (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.)...