Chapter 6 Quiz

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Jan 9, 2024

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1. Which of the following statements is most correct? Select one: a.If expected inflation increases, interest rates are likely to decrease. (no, IP increases when inflation increases) b.If individuals increase their savings rate, interest rates are likely to increase. (No, this would mean current consumption decreases which would mean credit increases which would decrease interest rates. This would be on the credit side not the money supply) c.If companies have more productive opportunities, interest rates are likely to increase. (The higher the productive opportunities, the higher the interest rates the company can afford [i.e rates go up]) d.If the risk of the project increases, interest rates are likely to decrease. (no, higher risk means higher rates)
2. A 30- day T-bill is currently yielding 6.5%. The following information is available: inflation premium = 4.0%, liquidity premium = 0.6%, maturity risk premium = 1.8% and default risk premium = 2.15%. On the basis of these data, the nominal risk-free rate is ____________ and the real risk-free rate is _________________. It’s short term T-bill(30day) = 0.065 IP = 0.04 LP = 0.006 MRP = 0.018 DRP = 0.0215 T-bond/bill short-term = r*rf + IP Note this is the nominal risk-free rate The Real rf is: Nominal - IP Select one: a.6.5%; 2.5% b.5.5%; 1.9% c.1.5%; 3.0% d.5.5%; 2.5% e.2.5%; 5.5% .
3. Suppose the rate of return on a 10-year T-bond is currently 5.00% and that on a 10-year Treasury Inflation-Protected Security (TIPS) is 2.10%. Suppose further that the maturity risk premium on a 10-year T-bond is 0.9%, that no maturity risk premium is required on TIPS, and that no liquidity premiums are required on any T-bonds. Given this data, what is the expected inflation rate over the next 10 years? T-bond (10) = 5 TIPS (r*rf) = 2.10 MRP = 0.9 LP = 0 IP? T-bond = r*rf + IP + MRP 5 = 2.1 + 0.9 + x 5 - 2.1 - 0.9 = x = 2 Select one: a.2.00% b.1.90% c.2.20% d.2.10% e.1.80%
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4. Assume that return rate on TIP = 3%. The inflation rate is expected to be 8% in year 1, 5% in year 2, and 4% thereafter. Also assume that all T-bonds are highly liquid and free of default risk. If 2 - year T-bond yields 11%, what is the maturity risk premium? TIPS (r*rf) = 3 Inflation = 8, 5, 4… IP (2) = 6.5 LP and DRP = 0 T-bond2 = 11 MRP? Avg inflation 6.5 T-bond = r*rf + IP + MRP 11 = 3 + x + 6.5 11 - 6.5 - 3 = x Select one: a.1.50% b.3.50% c.0.50% d.2.50% e.1.00%
5. A T-bond that matures in 9 years has a yield of 4.5%. A 9-year corporate bond has a yield of 6%. Assume that the liquidity premium on the corporate bond is 0.5%. What is the default risk premium on the corporate bond? t-bond(9) = 4.5 C-bond = 6 LP = 0.5 DRP = ? C-bond = = t-bond + DRP + LP 6 = 4.5 + x + 0.5 6 - 4.5 - 0.5 = x = Select one: a.0.5% b.1.5% c.1.0% d.4.5% e.2.0%
6. Which of the following statements is most correct? Select one: a. Short-term interest rates are less volatile than long-term interest rates because the Fed operates mainly in the long-term sector. (no, short-term rates are more volatile and also Fed operates in the short-term, not long-term) b. An upward-sloping Treasury yield curve suggests that long-term interest rates are higher than short-term interest rates. (yes, in upward-sloping treasury yield the longer the term the higher the rate) c. Immediately after the Fed announces the expansion of the money supply, the long -term interest rate will drop while the short-term interest rates will rise due to a higher expected future inflation. (no, short-term rates would not drop from higher inflation. Longer terms may have higher rates because expected inflation is likely to rise though) d. Other things equal, the interest rate in an area with a young population would likely be lower than that in an area with an old population. (no they have fewer savings and higher loans d) e. If the Fed maintains a policy to expand the money supply for several years, the entire yield curve will fall due to a higher expected future inflation. (no, higher expected inflation means higher rates)
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7. If the yield curve is upward sloping, which of the following statements is correct? Select one: a. The liquidity risk premium on a long-term T-bond is less than the liquidity risk premium on a short-term T-bond. (no, for t-bonds only MRP and IP are that effective) b. The real risk-free rate on a long-term T-bond is less than the real risk - free rate on a short-term T-bond. (no, an upward-sloping curve means longer terms have higher rates) c. The inflation premium on a long-term T-bond can be less than the inflation premium on a short-term T-bond. (yes, while usually no, it is possible if MRP > IP it’s still upward. For example, if MRP ST: 2.5 IP: 1.5 MRP LT: 3.5 IP: 1.4. Yield ST: 4 Yield for LT: 4.9 even though IP is less) d. The maturity risk premium on a long-term T-bond is less than the maturity risk premium on a short-term T-bond. (no, MRP is linear it increases with maturity) e. The default risk premium on a long-term T-bond is less than the default risk premium on a short-term T-bond. (no, DRP is generally 0 on T-bonds if it isn’t then default chances increase with time) .
8. If the yield curve is downward sloping, which of the following statements is correct? (hint: graph the yield curves for a T-bond, a AAA bond, and a B bond) Select one: a. The yield on the 5-year AAA corporate bond must exceed the yield on the 5-year B corporate bond.(no, if maturity is the same then AAA will always have small yield then B) b. The yield on the 5-year T-bond must exceed the yield on the 5-year AAA corporate bond. (no, if maturity is the same then t-bond will always have a lower yield than AAA) c. The yield on the 10-year T-bond must be less than the yield on a 2-year T-bond. (yes, downward sloping ST > LT yield given they are rated the same) d. The yield on the 5-year T-bond must exceed the yield on the 10-year AAA corporate bond. no, it is possible for a downward-sloping 5 t-bond to have a lower yield than a 10 AAA bond. Similarly, it is possible for an upward-sloping 10 t-bond to have a higher yield than a 5 AAA e. The yield on the 5-year AAA corporate bond must be lower than the yield on the 5-year T-bond.(if maturity is the same then a t-bond will always have a lower rate than a AAA)
9. Which of the following portfolio is risk-free? Select one: a. A portfolio consisting of $100,000 worth of US TIPS. (yes, ST TIPS is risk-free) b. A portfolio consisting of $100,000 worth of U.S. corporate junk bonds. (no, corporate junk bonds have DRP, MRP, and LP) c. A portfolio consisting of $100,000 worth of long-term U.S. T-bonds. (no, includes MRP) d. A portfolio consisting of $100,000 worth of AAA-rated U.S. corporate bonds. (No at best, ST corporate bonds have DRP and LP) e. A portfolio consisting of $100,000 worth of 30-day T-bills. Every 30 days the T-bill matures, and you reinvest the principal in a new batch of T-bills. (No, there is reinvestment risk)
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10. You observe the following curve for Treasury securities: Assume that the pure expectations hypothesis holds. What is the predicted interest cost if you plan to borrow for 3 years, starting 2 years from today? (1 + starting year of borrowing rate) ^ a * (1+x)^b = (1+ total years of borrowing rate) ^ c r(2,5) (1.058)^2 * (1+x)^3 = (1+.065)^5 (1.065)^5 / (1.058)^2 = 1 +x^3 = 6.97 Select one:
a. 6.40% b. 6.97% c. 6.75% d. 7.30% e. 6.30%