Projections for inflation for the next few years are as follows:
year 1 2%
year 2 3%
year 3 5%
a) Calculate (and show your work) the inflation premium for a 2-year bond -- in other words, what is the average annual inflation over this bond's life?
b) Calculate (and show your work) the inflation premium for a bond maturing in 3 years -- in other words, what is the average annual inflation over the life of this bond?
a. Inflation for the bond = 1.02 * 1.03 =1.0506
Annualized premium = √1.0506= 0.0249 or
2.4988%
b. Total inflation for a 3 year bond = 1.02 *1.03 * 1.05 =
1.1031
Annualized premium = (1.1031) ^1/3 =
3.3258%
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Hope this answer your query.
Feel free to comment if you need further assistance. J
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