In: Finance
The Ford 8.875% June 2047 bond is priced to yield 8.1% while the GE 8.875% June 2047 bond is priced to yield 10.9%. The 8.875% June 2047 US Treasury bond is priced to yield 3.1%. If the market assumes that there is a 3.4% probability that Ford will default on the bond, then the default premium for the GE bond is ___ %
8.875% June 2047 Bonds | |||
Risk free Return (Rf) = | 3.40% | ||
Let 'x' be default premium for GE Bond | |||
Ford | GE | ||
A | Yield | 8.10% | 10.90% |
B | Total Risk Premium | 4.70% | 7.50% |
C | Default Premium | 3.40% | x |
D | Risk Premium on A/c of Investment in Market Securuties(RM) | 1.30% | 7.5%-x |
D=B-C | |||
As both 8.875% June 2047 Bonds of Ford and GE are having Same Coupon Rate and Maturity Period, there Marker Risk Premium will be Same | |||
Hence, | |||
1.30% | = | 7.5%-x | |
x | = | 7.5%-1.3% | |
Therefore, x | = | 6.20% |