help me with this finance question please! Thank you so much.

(10) 1. There are a number of theories of the term structure of interest rates including the unbiased expectations hypothesis, preferred habitat hypothesis, and market segmentation hypothesis. Discuss the implications of the umbiased expectations hypothesis within the context of the following problem. Problem 1: For a two-year, default-free, pure discount security, compute its yield to maturity and draw the respective yield curves assuming two different expectations of inflation employing the Fisher Effect: (a) 2.5 percent one year from now, and (b) 5 percent one year from now. In addition, define and compute the implied forward yield on an one-year security one year from now, assuming the current two-year yield is 8.0 percent. Discuss the assumptions underlying this calculation and how it can be used to evaluate the implied forward yield on a 1- year loan, next year. What is the implied expected rate of inflation if the real rate remains at 3 percent? Use the following definitions and values: 0.03 (constant real rate of interest) P. 0.03 (period I rate of inflation) (a) p. 0.025 (expected period 2 rate of inflation) (b) p. = 0.05 (expected period 2 rate of inflation) Y current yield on one-year securities Expected period 2 yield on one-year securities Y2 current yield on two-year securities Unbiased Expectations Hypothesis In general, (1 + Ym) = [(1 + xy.x1 + x3,9..(1+ my 9l/m and jy, e = the forward rate, jf, Fisher Relationship: (1 + jy) = (1 +j1, X1+ p, ), where p, is the expected rate of inflation for period j for 1 year, and ;, is the real rate of interest for period j for 1 year. Specifically, (1 + 1y2) = [(1 + iyi)(1 + xy:9]" and zyze = the forward rate, fi. The expected future 1-year yield factor is: 1 Problem 1.c Draw the yield curves under assumptions (a) and (b) concerning the expected rates of inflation. Give the reasons for the shapes of these yield curves (HINT: are forward rates on future short-term securities equal to greater than, or less than current short- term interest rates)