E N D
1. CHAPTER 6Interest Rates Determinants of interest rates
The term structure and yield curves
Investing overseas
2. What four factors affect the level of interest rates? Production opportunities
Time preferences for consumption
Risk
Expected inflation
3. Nominal vs. Real rates r = represents any nominal rate
r* = represents the real risk-free rate of interest. Like a T-bill rate, if there was no inflation. Typically ranges from 1% to 4% per year.
rRF = represents the rate of interest on Treasury securities.
4. Determinants of interest rates r = r* + IP + DRP + LP + MRP
r = required return on a debt security
r* = real risk-free rate of interest
IP = inflation premium
DRP = default risk premium
LP = liquidity premium
MRP = maturity risk premium
5. Interactive Term Nominal = i
r* = real rate
IP = inflation premium
Compensation exactly for purchasing power:
i = r* + IP + (r* x IP)
i = 0.05 + 0.10 + (0.05 x 0.10)
i = .15 + .005 = 0.155
Note the interactive term is small so not using it is a good approximation.
6. Premiums added to r* for different types of debt
7. Yield curve and the term structure of interest rates Term structure relationship between interest rates (or yields) and maturities.
The yield curve is a graph of the term structure.
The November 2005 Treasury yield curve is shown at the right.
http://bloomberg.com/markets/rates/index.html
8. Hypothetical yield curve An upward sloping yield curve.
Upward slope due to an increase in expected inflation and increasing maturity risk premium.
9. What is the relationship between the Treasury yield curve and the yield curves for corporate issues? Corporate yield curves are higher than that of Treasury securities, though not necessarily parallel to the Treasury curve.
The spread between corporate and Treasury yield curves widens as the corporate bond rating decreases.
10. Illustrating the relationship between corporate and Treasury yield curves
11. Pure Expectations Hypothesis The PEH contends that the shape of the yield curve depends on investors expectations about future interest rates.
If interest rates are expected to increase, L-T rates will be higher than S-T rates, and vice-versa. Thus, the yield curve can slope up, down, or even bow.
12. Assumptions of the PEH Assumes that the maturity risk premium for Treasury securities is zero.
Long-term rates are an average of current and future short-term rates.
If PEH is correct, you can use the yield curve to back out expected future interest rates.
13. An example:Observed Treasury rates and the PEH Maturity Yield
1 year 6.0%
2 years 6.2%
3 years 6.4%
4 years 6.5%
5 years 6.5%
If PEH holds, what does the market expect will be the interest rate on one-year securities, one year from now? Three-year securities, two years from now?
14. One-year forward rate (1.062)2 = (1.060) (1+x)
1.12784/1.060 = (1+x)
6.4004% = x
PEH says that one-year securities will yield 6.4004%, one year from now.
Notice, if an arithmetic average is used, the answer is still very close. Solve: 6.2% = (6.0% + x)/2, and the result will be 6.4%.
15. Three-year security, two years from now (1.065)5 = (1.062)2 (1+x)3
1.37009/1.12784 = (1+x)3
6.7005% = x
PEH says that three-year securities will yield 6.7005%, two years from now.
16. Conclusions about PEH Some would argue that the MRP ? 0, and hence the PEH is incorrect.
Most evidence supports the general view that lenders prefer S-T securities, and view L-T securities as riskier.
Thus, investors demand a premium to persuade them to hold L-T securities (i.e., MRP > 0).
17. Other factors that influence interest rate levels Federal reserve policy
Federal budget surplus or deficit
Level of business activity
International factors
18. Risks associated with investing overseas Exchange rate risk If an investment is denominated in a currency other than U.S. dollars, the investments value will depend on what happens to exchange rates.
Country risk Arises from investing or doing business in a particular country and depends on the countrys economic, political, and social environment.