Question

In: Finance

Calculate the implied spot rate if the 5-year discount factor is 0.8950 and you assumed semi-annual...

Calculate the implied spot rate if the 5-year discount factor is 0.8950 and you assumed semi-annual compounding.  
The spot rate should be displayed as an annual figure.

2.23%

1.95%

2.10%

1.11%

Solutions

Expert Solution

the spot rate is 2.23% p.a

given,

              5 year discount factor   = 0.89500

               n = 10     ( since semi annual 5 years x 2    =10)

we know

               

               substituting,

                    

                     

                    

                    

                       taking 10th root on both sides

                    

                                 

                                    = 1.11154 %

                               but this r is semi annual rate,

                     so annual rate will be      2. X 1.11154 %     =   2.23%

                    hence the spot rate is 2.23% p.a


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