Question
6. You have just sold your house for $1,000,000 in cash. Your mortgage was originally a 30-year mortgage with monthly payments and an initial balance
6. You have just sold your house for $1,000,000 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 18 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.)
7. If the rate of inflation is 4.8%, what nominal interest rate is necessary for you to earn a 3.3% real interest rate on your investment? (Note: Be careful not to round any intermediate steps less than six decimal places.)
8. Use the table for the question(s) below.
Suppose the term structure of interest rates is shown below:
Term | 1 year | 2 years | 3 years | 5 years | 10 years | 20 years |
Rate (EAR%) | 5.00% | 4.80% | 4.60% | 4.50% | 4.25% | 4.15% |
What is the shape of the yield curve and what expectations are investors likely to have about future interest rates?
A.inverted; lower
B.normal; higher
C.inverted; higher
D.normal; lower
9. In 2007, interest rates were about 4.5% and inflation was about 2.8%. What was the real interest rate in
2007?
A.1.61%
B.1.58%
C.1.62%
D.1.65%
10. You are thinking about investing $5,000 in your friend's landscaping business. Even though you know the investment is risky and you can't be sure, you expect your investment to be worth $5,750 next year. You notice that the rate for one-year Treasury bills is1 %. However, you feel that other investments of equal risk to yourfriend's landscape business offer an expected return of 10%for the year. What should you do?
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