Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Chapter 5, Problem 32P

Suppose the current one-year interest rate is 6%. One year from now, you believe the economy will start to slow and the one-year interest rate will fall to 5%. In two years, you expect the economy to be in the midst of a recession, causing the Federal Reserve to cut interest rates drastically and the one-year interest rate to fall to 2%. The one-year interest rate will then rise to 3% the following year, and continue to rise by 1 % per year until it returns to 6%, where it will remain from then on.

  1. a. If you were certain regard ng these future interest rate changes, what two-year interest rate would be consistent with these expectations?
  2. b. What current term structure of interest rates, for terms of 1 to 10 years, would be consistent with these expectations?
  3. c. Plot the yield curve in this case. How does the one-year interest rate compare to the 10-year interest rate?
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First National Bank is doing some scenario analysis. It believes that its source of funds (the Federal Reserve) will soon increase the cost of loans. In fact, the cost of making loans is expected to change from the current 2 percent interest to either 3 percent or 4 percent interest in the next year. There will be no change in its $2,000,000 income at the 2 percent interest level, but net income will fall to $1,000,000 if interest rates increase to 3 percent and decrease to $100,000 if the interest rates increase to 4 percent . Finally, National predicts a 10 percent probability of a decrease to 2 percent interest rate, a 50 percent probability of a 3 percent interest rate, and a 40 percent probability of an increase to 4 percent interest rate.
In December 2022, the Fed raised interest rates to their highest levels in 15 years.  This makes borrowing more expensive, but makes savings more valuable.  After years of near-zero interest rates on savings accounts, many banks are offering savings rates of nearly 4%.  This is a pretty good risk-free return.  Suppose that you deposit $10672 into a savings account that earns 4%.  If interest rates do not decrease and you you withdraw your money in 40 years, what is your minimum withdrawal?  In other words, how much will you withdraw if interest rates stay at 4%?
Assume a firm buys a new machine this year at a cost of $12,600 that will lead to savings of $6,600 after one year, $4,840 more after the second year and another $4,000 after the third year. Then the machine will become obsolete and no further savings will accrue. Is this a worthwhile investment if we assume that there is no inflation and that the market rate of interest remains at i = 10% over the three year period?

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Monetary Policy explained; Author: Sim Institute;https://www.youtube.com/watch?v=IMkLAP_aj3I;License: Standard Youtube License