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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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