Question
1.) 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
1.) 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.) Cash that remains after payoff of mortgage is $__________
2.) If the rate of inflation is 6%, what nominal interest rate is necessary for you to earn a 2.3% real interest rate on your investment? (Note: Be careful not to round any intermediate steps less than six decimal places.)
The nominal interest rate is ____%
3.) 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; higher
B. normal; lower
C. normal; higher
D. inverted; lower
4.)
In 2007, interest rates were about 4.5% and inflation was about 2.8%. What was the real interest rate in 2007?
____%
5.) 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 $5,750 next year. You notice that the rate for one-year Treasury bills is 1%. However, you feel that other investments of equal risk to your friend's landscape business offer an expected return of 10%for the year. What should you do?
The present value of the return is _____$
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