An analyst is evaluating securities in a developing nation where the inflation rate is very high. As a result, the analyst has been warned not to ignore the cross-product between the real rate and inflation. A 6-year security with no maturity, default, or liquidity risk has a yield of 20.75%. If the real risk-free rate is 5.75%, what average rate of inflation is expected in this country over the next 6 years? Do not round intermediate calculations. Round your answer to two decimal places. (Hint: Refer to "The Links Between Expected Inflation and Interest Rates: A Closer Look".)

Recall that on a one-year Treasury security the yield is 4.0000% and 5.4000% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.4%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 6.8509% 6.0096% 7.6322% 5.1082%

The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors:   Investment b1 b2 X 1.75 0 Y −1.00 2.00 Z 2.00 1.00     We assume that the expected risk premium is 7.8% on factor 1 and 11.8% on factor 2. Treasury bills obviously offer zero risk premium.   According to the APT, what is the risk premium on each of the three stocks? Suppose you buy $500 of X and $125 of Y and sell $375 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? Suppose you buy $200 of X and $150 of Y and sell $100 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? Finally, suppose you buy $400 of X and $50 of Y and sell $200 of Z. What is your portfolio's sensitivity now to each of the two factors? And what is the expected risk premium?

The market has an expected rate of return of 11.6 percent. The long-term government bond is expected to yield 4.8 percent and the U.S. Treasury bill is expected to yield 1.0 percent. The inflation rate is 3.2 percent. What is the market risk premium? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

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Now suppose a financial institution has a duration gap of -4 years and $5 million in assets. The cheapest to deliver bond for Treasury futures contracts has a duration of 3 years. How will the manager hedge this interest rate risk? Assume the cheapest to deliver bond is trading at par.