Question: A 5-year Treasury bond has a 3.5% yield. A 10-year Treasury bond yields 6.4%, and a 10-year corporate bond yields 9.8%. The market expects that
A 5-year Treasury bond has a 3.5% yield. A 10-year Treasury bond yields 6.4%, and a 10-year corporate bond yields 9.8%. The market expects that inflation will average 3.45% over the next 10 years (IP10 = 3.45%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below.
| Interest rate premiums | |||
| 5-year Treasury yield (T5) | 3.50% | ||
| 10-year Treasury yield (T10) | 6.40% | ||
| 10-year Corporate yield (C10) | 9.80% | ||
| Inflation Premium over 10 years (IP10) | 3.45% | ||
| Maturity Risk Premium (MRP) | 0.00% | ||
| DRP Treasury | 0.00% | ||
| LP Treasury | 0.00% | ||
| DRPC5 + LPC5 = DRPC10 + LPC10 | |||
| Formulas | |||
| Real risk-free rate, r* | #N/A | ||
| Inflation premium over 5 years (IP5) | #N/A | ||
| DRP10 + LP10 | #N/A | ||
| 5-year Corporate yield (C5) | #N/A |
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