Calculating interest rates 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 two 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 1.05%. 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 15-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. a12.13%   b13.18%   c11.78%   d6.05%     Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true? In theory, the yield on a bond with a longer maturity will be higher than the yield on a bond with a shorter maturity.   The yield on an AAA-rated bond will be higher than the yield on a BB-rated bond.

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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3. Calculating interest rates

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 two 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 1.05%. 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 15-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.
a12.13%
 
b13.18%
 
c11.78%
 
d6.05%
 
 
Based on your understanding of the determinants of interest rates, if everything else remains the same, which of the following will be true?
In theory, the yield on a bond with a longer maturity will be higher than the yield on a bond with a shorter maturity.
 
The yield on an AAA-rated bond will be higher than the yield on a BB-rated bond.
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