Eleanor Burns is attempting to find the nominal rate of interest for a security. She has gathered the following data:
Characteristic | Security |
Time to maturity | 12 years |
Inflation expectation premium | 6.0% |
Risk premium for: | |
Liquidity risk | 1.2% |
Default risk | 3.4% |
Maturity risk | 0.9% |
Other risk | 1.5% |
.... a. If the real rate of interest is currently 3%, find the risk-free rate of interest applicable to the security.
b. Find the total risk premium attributable to the security's issuer and issue characteristics.
c. Calculate the nominal rate of interest for the security.
A)Risk free rate = (1+real rate)*(1+Inflation) - 1
= (1+.03)*(1+.06)- 1
= 1.0918- 1
= .0918 or 9.18%
b)total risk premium attributable to the security's issuer and issue characteristics = Liquidity risk+ Default risk+Maturity risk+ Other risk
=1.2+3.4+.9+1.5
= 7%
c)nominal rate of interest for the security.= Real rate - Risk premium
= 9.18 - 7
= 2.18%
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