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Kandy Miller is undecided between purchasing the four period bond or a series of one period bonds. Given the forward rates and spot rates provided below, what would Kandy earn on the four period spot rate bond?Spot Rates and Six Month Forward Rates (Annualized Rates on a Bond Equivalent Basis)
Correct Answer: A
While this looks like a "bootstrapping" problem, it is actually much easier. The spot rate is nothing more than all of the forward rates multiplied together taken to the nth root. While the calculation is simpler than the bootstrapping problem, there are still a few areas which trap some candidates. For example, each spot rate is annualized and needs to be divided by two to get the effective period rate. And, equally important, after all of the forward rates have been multiplied by each other (being sure to add "1" to each rate before multiplying) it is important to take the nth root (depending on the number of periods) and to subtract "1" afterwards. The detailed calculation is shown below: ((((1+0.047779/2) 3 x (1+0.0671/2))(1/4))-1) x 2 =0.052592. (Note: If the candidate would prefer to see the number in "percentage" form it is necessary to multiply by "200" rather than by "2")