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The Ford 8.875% June 2047 bond is priced to yield 8.1% while the GE 8.875% June...

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 ___ %

Solutions

Expert Solution

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%

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