Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

%3Ctable%20cellpadding%3D%220%22%20cellspacing%3D%220%22%20width%3D%22620%22%20c

ID: 2622571 • Letter: #

Question

%3Ctable%20cellpadding%3D%220%22%20cellspacing%3D%220%22%20width%3D%22620%22%20class%3D%22c7%22%3E%0A%3Ctbody%20class%3D%22c6%22%3E%0A%3Ctr%20class%3D%22c5%22%3E%0A%3Ctd%20class%3D%22c4%22%3E%0A%3Cp%20class%3D%22c3%22%3ESuppose%20there%20are%20two%20independent%20economic%0Afactors%2C%20%3Ci%20class%3D%22c1%22%3EM%3C%2Fi%3E%3Csub%20class%3D%0A%22c2%22%3E1%3C%2Fsub%3E%26nbsp%3Band%26nbsp%3B%3Ci%20class%3D%22c1%22%3EM%3C%2Fi%3E%3Csub%20class%3D%0A%22c2%22%3E2%3C%2Fsub%3E.%20The%20risk-free%20rate%20is%206%25%2C%20and%20all%20stocks%20have%0Aindependent%20firm-specific%20components%20with%20a%20standard%20deviation%20of%0A42%25.%20Portfolios%26nbsp%3B%3Ci%20class%3D%22c1%22%3EA%3C%2Fi%3E%26nbsp%3Band%26nbsp%3B%3Ci%20class%3D%0A%22c1%22%3EB%3C%2Fi%3E%26nbsp%3Bare%20both%20well%20diversified.%3C%2Fp%3E%0A%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3C%2Ftbody%3E%0A%3C%2Ftable%3E%0A%3Cp%3E%3Cbr%20class%3D%22c8%22%20%2F%3E%3C%2Fp%3E%0A%3Ctable%20cellpadding%3D%220%22%20cellspacing%3D%220%22%20width%3D%22400%22%20class%3D%22c7%22%3E%0A%3Ctbody%20class%3D%22c6%22%3E%0A%3Ctr%20class%3D%22c10%22%3E%0A%3Ctd%20class%3D%22c4%22%3E%26nbsp%3B%26nbsp%3BPortfolio%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c9%22%3EBeta%20on%26nbsp%3B%3Ci%20class%3D%22c1%22%3EM%3C%2Fi%3E%3Csub%20class%3D%0A%22c2%22%3E1%3C%2Fsub%3E%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c9%22%3EBeta%20on%26nbsp%3B%3Ci%20class%3D%22c1%22%3EM%3C%2Fi%3E%3Csub%20class%3D%0A%22c2%22%3E2%3C%2Fsub%3E%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c9%22%3EExpected%20Return%20(%25)%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3Ctr%20class%3D%22c5%22%3E%0A%3Ctd%20class%3D%22c9%22%3E%3Ci%20class%3D%22c1%22%3EA%20%26nbsp%3B%3C%2Fi%3E%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c11%22%3E1.5%0A%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c11%22%3E2.4%20%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c11%22%3E32%0A%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3Ctr%20class%3D%22c12%22%3E%0A%3Ctd%20class%3D%22c9%22%3E%3Ci%20class%3D%22c1%22%3EB%20%26nbsp%3B%3C%2Fi%3E%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c11%22%3E2.3%0A%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c11%22%3E%E2%80%930.5%0A%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%3C%2Ftd%3E%0A%3Ctd%20class%3D%22c11%22%3E10%0A%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%26nbsp%3B%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3Ctr%20class%3D%22c5%22%3E%0A%3Ctd%20colspan%3D%224%22%20class%3D%22c4%22%3E%0A%3Chr%20size%3D%225%22%20width%3D%22100%25%22%20class%3D%22c13%22%20%2F%3E%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3C%2Ftbody%3E%0A%3C%2Ftable%3E%0A%3Cp%3E%3Cbr%20class%3D%22c8%22%20%2F%3E%3C%2Fp%3E%0A%3Ctable%20cellpadding%3D%220%22%20cellspacing%3D%220%22%20width%3D%22620%22%20class%3D%22c7%22%3E%0A%3Ctbody%20class%3D%22c6%22%3E%0A%3Ctr%20class%3D%22c5%22%3E%0A%3Ctd%20class%3D%22c4%22%3E%0A%3Cp%20class%3D%22c3%22%3EWhat%20is%20the%20expected%20return%E2%80%93beta%20relationship%20in%20this%0Aeconomy%3F%26nbsp%3B%3Cb%20class%3D%22c15%22%3E%3Cspan%20class%3D%22c14%22%3E(Do%20not%20round%0Aintermediate%20calculations.%3C%2Fspan%3E%3C%2Fb%3E%3Cb%20class%3D%22c15%22%3E%3Cspan%20class%3D%0A%22c14%22%3ERound%20your%20answers%20to%202%20decimal%20places.%3C%2Fspan%3E%3C%2Fb%3E%3Cb%20class%3D%0A%22c15%22%3E%3Cspan%20class%3D%22c14%22%3E)%3C%2Fspan%3E%3C%2Fb%3E%3C%2Fp%3E%0A%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3C%2Ftbody%3E%0A%3C%2Ftable%3E%0A%3Cp%3E%3Cbr%20class%3D%22c8%22%20%2F%3E%3C%2Fp%3E%0A%3Ctable%20cellpadding%3D%220%22%20cellspacing%3D%220%22%20width%3D%22660%22%20class%3D%22c7%22%3E%0A%3Ctbody%20class%3D%22c6%22%3E%0A%3Ctr%20class%3D%22c10%22%3E%0A%3Ctd%20width%3D%22100%25%22%20class%3D%22c4%22%3E%26nbsp%3B%26nbsp%3BExpected%20return%E2%80%93beta%0Arelationship%26nbsp%3B%3Ci%20class%3D%22c1%22%3EE%3C%2Fi%3E(%3Ci%20class%3D%22c1%22%3Er%3Csub%20class%3D%0A%22c2%22%3EP%3C%2Fsub%3E%3C%2Fi%3E)%20%3D%26nbsp%3B%3Cinput%20class%3D%22wk_numeric%20c16%22%20type%3D%22text%22%0Asize%3D%227%22%20name%3D%22Q_13252700438432246_ans1%22%20value%3D%226%22%20%2F%3E%26nbsp%3B%25%0A%2B%26nbsp%3B%3Cinput%20class%3D%22wk_numeric%20c16%22%20type%3D%22text%22%20size%3D%227%22%20name%3D%0A%22Q_13252700438432246_ans2%22%20value%3D%226.67%22%20%2F%3E%26nbsp%3B%3F%3Csub%20class%3D%0A%22c2%22%3E%3Ci%20class%3D%22c1%22%3EP%3C%2Fi%3E%3C%2Fsub%3E%3Csub%20class%3D%0A%22c2%22%3E1%3C%2Fsub%3E%26nbsp%3B%2B%26nbsp%3B%3Cinput%20class%3D%22wk_numeric%20c16%22%20type%3D%22text%22%0Asize%3D%227%22%20name%3D%22Q_13252700438432246_ans3%22%20value%3D%0A%222.22%22%20%2F%3E%26nbsp%3B%3F%3Csub%20class%3D%22c2%22%3E%3Ci%20class%3D%0A%22c1%22%3EP%3C%2Fi%3E%3C%2Fsub%3E%3Csub%20class%3D%22c2%22%3E2%26nbsp%3B%3Ci%20class%3D%0A%22c1%22%3E%26nbsp%3B%3C%2Fi%3E%3C%2Fsub%3E%3C%2Ftd%3E%0A%3C%2Ftr%3E%0A%3C%2Ftbody%3E%0A%3C%2Ftable%3E%0A%3Cdiv%20class%3D%22qi_container%20c20%22%3E%0A%3Cdiv%20class%3D%22qi_controls%20c19%22%3E%3Ca%20title%3D%22Check%20My%20Work%22%20class%3D%0A%22checkWorkButton%20c17%22%3Echeck%20my%20work%3C%2Fa%3E%3Ca%20title%3D%0A%22Reference%20Information%22%20class%3D%22referenceButton%20c18%22%20href%3D%0A%22http%3A%2F%2Fezto.mhecloud.mcgraw-hill.com%2F%23%22%3Ereferences%3C%2Fa%3E%3C%2Fdiv%3E%0A%3Cdiv%3E%3Cbr%20%2F%3E%3C%2Fdiv%3E%0A%3C%2Fdiv%3E%0A

Explanation / Answer

the expected return-beta relationship is given by....


E(r(p) )= r(f) + bita(1, p) [E(r1 )? r(f)] + bita(2, p) [E(r2 )? r(f)]



We need to find the risk premium [rp] for each of the two factors:


r(p1) = [E(r1)-r(f)] and


r(p2) = [E(r2)-r(f)]
                                To do so, the following system of two equations with to unknowns must be solved :


                     

                                      32 = 6 + 1.5 * (r(p1)) + 2.4 * (r(p2)) ..............(1)
                                      10 = 6 + 2.3 * (r(p1)) + (-0.5) * (r(p2))............(2)





solving this equation we get r(p1) = 3.60 %


                                                     r(p2)=8.58 %


now the expected return-beta relationship is:


                                           E(r(p)) = 6% + bita(1, p) * 3.60% + bita(2, p) * 8.55%