An investor in treasury securities expects inflation to be 1.6% in year 1, 3.05% in year 2, and 3.85% each year thereafter. assume that the real risk-free rate is 2.35% and that this rate will remain constant. three-year treasury securities yield 6.80%, while 5-year treasury securities yield 8.10%. what is the difference in the maturity risk premiums (mrps) on the two securities; that is, what is mrp5 - mrp3? do not round intermediate calculations. round your answer to two decimal places.

The difference between two securities is 0.89%.

Explanation:

Inflation premium for the next three and five years:

Inflation premium (3) = (1.6% + 3.05% + 3.85%) ÷ 3

                                  = 2.83%

Inflation premium (5) = (1.6% + 3.05% + 3.85% + 3.85% + 3.85%) ÷ 5

                                  = 3.24%

Real risk-free rate = 2.35%

Since default premium and liquidity premium are zero on treasury bonds, we can now solve for the maturity risk premium:

Three-year Treasury securities = Real risk-free rate + Inflation premium (3) + MRP(3)

6.80% = 2.35% + 2.83% + MRP(3)

MRP (3) = 1.62%

Similarly,

5-year Treasury securities = Real risk-free rate + Inflation premium (5) + MRP(5)

8.10% = 2.35% + 3.24% + MRP(3)

MRP (5) = 2.51%

Thus,

MRP5 - MRP3 = 2.51% - 1.62%

                         = 0.89%

Therefore, the difference between two securities is 0.89%.

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