A nominal risk-free rate is currently 3.5%. A broker at INV Securities, has given you the following estimates of current interest rate premiums: Inflation Premium: 2%, Liquidity Risk Premium 1.5%. Maturity Risk Premium 3%, and Default Risk Premium 1.5%. Based on these data, what are the rates of short-term corporate bonds? O 7.5% O 6.5% O 8% 8.5%
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- Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)Suppose the real risk-free rate is 2.80%, the average future inflation rate is 2.30%, a maturity premium of 0.25% per year to maturity applies, i.e., MRP = 0.25%(t), where t is the number of years to maturity. Suppose also that a liquidity premium of 0.50% and a default risk premium of 2.50% applies to A-rated corporate bonds. What is the difference in the yields on a 5-year A-rated corporate bond and on a 10-year Treasury bond? Here we assume that the pure expectations theory is NOT valid, and disregard any cross-product terms, i.e., if averaging is required, use the arithmetic average. a. 4.25 p.p. b. 2.25 p.p. c. 4.19 p.p. d. 3.00 p.p. e. 1.75 p.p. Please explain process and show calculations
- A company's 5-year bonds are yielding 7.75% per year. Treasury bonds with the same maturity are yielding 5.2% per year, and the real risk free rate (r*) is 2.3%. The average inflation premuim is 2.5% and the maturity risk premium is estimated to be 0.1X(t-1) % where t= the number of maturity. If the iquidity premium is 1% what is the default risk premium on the corporate bonds.? Please show formula and calculation. Do it in manual computation not in spreadsheet.(a) Compute the market price (Vb) of the following bonds: (6)$1,000 par value, 10-yr maturity, and 8% coupon rate that is paid semi-annually? Assume the yield to maturity of 12%.$1,000 par value, 10-yr maturity, and 6% coupon rate that is paid semi-annually? Assume the yield to maturity of 12%.$1,000 par value, 10-yr maturity, and 8% coupon rate that is paid semi-annually? Assume the yield to maturity of 6%.(b) Based on your answers comment on the relationship (what happens to one variable when the other goes up/down) of (a) price with yield to maturity and (b) price with coupon rate. (4)A corporate bond has a nominal or observed yield of 9.8%. Your sister, the famouseconomist, has given you the following estimates:Inflation-risk premium = 3.00%Default-risk premium = 2.10%Maturity premium = 1.90%Liquidity premium = 0.50%On the basis of these data, what is the best estimate of the real risk-free rate of return?
- If the pure expectations theory of the term structure is correct, which of the following statements would be CORRECT? a. If a 1-year Treasury bill has a yield to maturity of 7% and a 2-year Treasury bill has a yield to maturity of 8%, this would imply the market believes that 1-year rates will be 7.5% one year from now. b. The yield on a 5-year corporate bond should always exceed the yield on a 3-year Treasury bond. c. Interest rate (price) risk is higher on long-term bonds, but reinvestment rate risk is higher on short-term bonds. d. An upward-sloping yield curve would imply that interest rates are expected to be lower in the future. e. Interest rate (price) risk is higher on short-term bonds, but reinvestment rate risk is higher on long-term bondsThe following table shows the prices of a sample of Treasury bonds, all of which have coupon rates of zero. Each bond makes a single payment at maturity. Years to Maturity Price (% of face value) 1 98.052% 2 94.551 3 90.744 4 86.680 What is the 1-year interest rate? What is the 3-year interest rate? What is the 4-year interest rate? Is the yield curve upward-sloping, downward-sloping, or flat? Is this the usual shape of the yield curve?Assume that the risk-free rate (i.e., Rf) is 2.8%. If, for a particular company bond issue, the default risk premium (i.e., DP) is 3.1%, the maturity risk premium ( i.e., MP) is 0.9%, and the market risk premium ( i.e., MRP) for that company's stock is 12.9% what is the required rate of return for the company's fixed income securities ? Record your answer as a percent , rounded to one decimal place , but do not include a percent sign in your answer . For example , enter 0.1578658 = 15.78625% as 15.8 .
- Assume the following: The real risk-free rate, r*, is expected to remain constant at 3%. Inflation is expected to be 3% next year and then to be constant at 2% a year thereafter. The maturity risk premium is zero. Given this information, which of the following statements is CORRECT? a. A 5-year corporate bond must have a lower yield than a 7-year Treasury security. b. The yield curve for U.S. Treasury securities will be upward sloping. c. A 5-year corporate bond must have a lower yield than a 5-year Treasury security. d. The real risk-free rate cannot be constant if inflation is not expected to remain constant. e. This problem assumed a zero maturity risk premium, but that is probably not valid in the real world.Assume you make the following investments: A $10,000 investment in a 10-year T-bond that yields 6.00%, and a $20,000 investment in a 10-year corporate bond with an BBB rating and a yield of 8.30%. Based on this information, and the knowledge that the difference in liquidity risk premiums between the two bonds is 0.50%, what is your estimate of the corporate bond's default risk premium? A.) 2.30%? B.) 3.06%? C.) 1.80%? D.) 2.52%?The real risk-free rate (r*) is 2.8% and is expected to remain constant. Inflation is expected to be 8% per year for each of the next four years and 7% thereafter. The maturity risk premium (MRP) is determined from the formula: 0.1(t – 1)%, where t is the security’s maturity. The liquidity premium (LP) on all Pellegrini Southern Inc.’s bonds is 0.55%. The following table shows the current relationship between bond ratings and default risk premiums (DRP): Rating Default Risk Premium U.S. Treasury — AAA 0.60% AA 0.80% A 1.05% BBB 1.45% Pellegrini Southern Inc. issues fifteen-year, AA-rated bonds. What is the yield on one of these bonds? Disregard cross-product terms; that is, if averaging is required, use the arithmetic average. 11.42% 12.82% 12.27% 5.55% Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? Higher inflation expectations…