{"id":69,"date":"2014-11-13T21:21:12","date_gmt":"2014-11-13T21:21:12","guid":{"rendered":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/?page_id=69"},"modified":"2014-11-13T21:21:12","modified_gmt":"2014-11-13T21:21:12","slug":"maple-example","status":"publish","type":"page","link":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/teaching\/finn-6203-financial-economic-theory\/maple-example\/","title":{"rendered":"Maple Example"},"content":{"rendered":"

maple_ex.html <\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nwith(linalg);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"[BlockDiagonal,
\n\"[BlockDiagonal,
\n\"[BlockDiagonal,
\n\"[BlockDiagonal,
\n\"[BlockDiagonal,
\n\"[BlockDiagonal,
\n\"[BlockDiagonal,<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nM:=matrix(3,4,[60,50,53,28,110,120,127,59,30,30,30,15]);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"M<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ngausselim(M);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"matrix([[60,<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ngaussjord(M);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"matrix([[1,<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nP:=Vector[row]([5\/10,1\/10,4\/10]);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"P<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nm:=[(6\/25)\/P[1],(3\/50)\/P[2],(1\/5)\/P[3]];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"m<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nR1:=Vector[row]([M[1,1]\/M[1,4],M[1,2]\/M[1,4],M[1,3]\/M[1,4]]);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"R1<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nR2:=Vector[row]([M[2,1]\/M[2,4],M[2,2]\/M[2,4],M[2,3]\/M[2,4]]);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"R2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nR3:=Vector[row]([M[3,1]\/M[3,4],M[3,2]\/M[3,4],M[3,3]\/M[3,4]]);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"R3<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nER1:=dotprod(R1,P);#E(R1)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"ER1<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"2.007142857\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nER2:=dotprod(R2,P);#E(R2)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"ER2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"1.996610169\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndotprod(R3,P);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"2\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ns1:=sqrt(P[1]*(R1[1]-ER1)^2+(P[2])*(R1[2]-ER1)^2+(P[3])*(R1[3]-ER1)^2);#stdev(R1)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"s1<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\".1390565881\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ns2:=sqrt(P[1]*(R2[1]-ER2)^2+(P[2])*(R2[2]-ER2)^2+(P[3])*(R2[3]-ER2)^2);#stdev(R2)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"s2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\".1363959291\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nR1R2:=[R1[1]*R2[1],R1[2]*R2[2],R1[3]*R2[3]];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"R1R2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nER1R2:=dotprod(R1R2,P);#E(R1R2)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"ER1R2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\n(ER1R2-ER1*ER2)\/(s1*s2);#rho(R1,R2)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"-699\/613601*379^(1\/2)*1619^(1\/2)\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"-.8923477772\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nmR1:=[m[1]*R1[1],m[2]*R1[2],m[3]*R1[3]];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"mR1<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndotprod(mR1,P);#check that E(mR1)=1<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"1\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nmR2:=[m[1]*R2[1],m[2]*R2[2],m[3]*R2[3]];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"mR2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndotprod(mR2,P); #check that E(mR2)=1<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"1\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nEm:=dotprod(m,P); #E(m)=1\/Rf<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"Em<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nsm:=sqrt(P[1]*(m[1]-Em)^2+P[2]*(m[2]-Em)^2+P[3]*(m[3]-Em)^2);#stdev(m)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"sm<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\".3464101616e-1\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\n(1-Em*ER1)\/(sm*s1);#rho(m,R1)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"-25\/1137*3^(1\/2)*379^(1\/2)\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"-.7414122825\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\n(1-Em*ER2)\/(sm*s2);#rho(m,R2)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"25\/4857*3^(1\/2)*1619^(1\/2)\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\".3587203024\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nyu:=1\/Em+sm\/Em*x;#upper part of MV frontier yu=Rf+sigma(m)\/E(m)*x<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"yu<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nyl:=1\/Em-sm\/Em*x;#lower part of MV frontier yl=Rf-sigma(m)\/E(m)*x<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"yl<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nEx:=ER1*w+(1-w)*ER2;#E(Rp), Rp=wR1+(1-w)R2<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"Ex<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nsigma:=sqrt(w^2*s1^2+(1-w)^2*s2^2+2*w*(1-w)*(ER1R2-ER1*ER2));#stdev(Rp)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"sigma<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nplot([[x,yu(x),x=0..0.2],[x,yl(x),x=0..0.2],[sigma(w),Ex(w),w=0..1]],color=[red,red,blue]);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"[Maple<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nmsq:=[(12\/25)^2, (3\/5)^2, (1\/2)^2];#calculate m^2<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"msq<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndotprod(msq,P);#E(m^2)<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"157\/625\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\".2512000000\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nmoverEmsq:=625\/157*[12\/25, 3\/5, 1\/2];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"moverEmsq<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndotprod(moverEmsq,P);#E(m\/E(m^2))<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"625\/314\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"1.990445860\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nmxmoverEmsq:=[m[1]*moverEmsq[1],m[2]*moverEmsq[2],m[3]*moverEmsq[3]];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"mxmoverEmsq<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndotprod(mxmoverEmsq,P);#check E(m*m\/E(m^2))=1<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"1\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nv1:=[1,0,-6\/5];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"v1<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nu2:=[1,-4,0];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"u2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nv1u2:=[1,0,0];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"v1u2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nv1sq := [1, 0, 36\/25];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"v1sq<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nv2 := u2-dotprod(v1u2, P)*v1\/dotprod(v1sq, P);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"v2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nv1v2 := [144\/269, -4*0, -6\/5*150\/269];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"v1v2<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndotprod(P, v1v2);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"0\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nv2sq := [20736\/72361, 16, 22500\/72361];<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"v2sq<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nRestar := dotprod(P, v1)*v1\/dotprod(P, v1sq)+dotprod(P, v2)*v2\/dotprod(P, v2sq);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"Restar<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nplot3d(-1\/4*x2-5\/6*x3, x2 = (-10 .. 10), x3 = (-10 .. 10),axes=NORMAL);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"[Maple<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\n[2, 2, 2] = moverEmsq+ga*Restar;<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"[2,<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ng := (2-300\/157)\/(7\/157);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"g<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\n(2-375\/157)\/(-61\/314);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"2\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\n(2-625\/314)\/(3\/628);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"2\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndst:=diff(sigma,w);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"dst<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndE:=diff(Ex,w);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"dE<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\ndEoverdst := proc (w) options operator, arrow; 174*sqrt(4898091*w^2+1269296-4848088*w)\/(9796182*w-4848088) end proc;<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"dEoverdst<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nplot({dEoverdst(w),sqrt(3)\/25},w=.5..1);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"[Maple<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nsolve(dEoverdst(w)=sqrt(3)\/25);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\"161\/279\"<\/p>\n

<\/a><\/p>\n\n\n\n
> \u00a0\u00a0<\/tt><\/td>\nevalf(%);<\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n

\".5770609319\"<\/p>\n

<\/a><\/p>\n\n\n\n
> <\/tt><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

maple_ex.html > \u00a0\u00a0 with(linalg); > \u00a0\u00a0 M:=matrix(3,4,[60,50,53,28,110,120,127,59,30,30,30,15]); > \u00a0\u00a0 gausselim(M); > \u00a0\u00a0 gaussjord(M); > \u00a0\u00a0 P:=Vector[row]([5\/10,1\/10,4\/10]); > \u00a0\u00a0 m:=[(6\/25)\/P[1],(3\/50)\/P[2],(1\/5)\/P[3]]; > \u00a0\u00a0 R1:=Vector[row]([M[1,1]\/M[1,4],M[1,2]\/M[1,4],M[1,3]\/M[1,4]]); > \u00a0\u00a0 R2:=Vector[row]([M[2,1]\/M[2,4],M[2,2]\/M[2,4],M[2,3]\/M[2,4]]); > \u00a0\u00a0 R3:=Vector[row]([M[3,1]\/M[3,4],M[3,2]\/M[3,4],M[3,3]\/M[3,4]]); > \u00a0\u00a0 ER1:=dotprod(R1,P);#E(R1) > \u00a0\u00a0 evalf(%); > \u00a0\u00a0 ER2:=dotprod(R2,P);#E(R2) > \u00a0\u00a0 evalf(%); > \u00a0\u00a0 dotprod(R3,P); > \u00a0\u00a0 s1:=sqrt(P[1]*(R1[1]-ER1)^2+(P[2])*(R1[2]-ER1)^2+(P[3])*(R1[3]-ER1)^2);#stdev(R1) > \u00a0\u00a0 evalf(%); > \u00a0\u00a0 s2:=sqrt(P[1]*(R2[1]-ER2)^2+(P[2])*(R2[2]-ER2)^2+(P[3])*(R2[3]-ER2)^2);#stdev(R2) > \u00a0\u00a0 evalf(%); […]<\/p>\n","protected":false},"author":824,"featured_media":0,"parent":60,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-69","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/pages\/69","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/users\/824"}],"replies":[{"embeddable":true,"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/comments?post=69"}],"version-history":[{"count":1,"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/pages\/69\/revisions"}],"predecessor-version":[{"id":70,"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/pages\/69\/revisions\/70"}],"up":[{"embeddable":true,"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/pages\/60"}],"wp:attachment":[{"href":"http:\/\/belkcollegeofbusiness.charlotte.edu\/spclark\/wp-json\/wp\/v2\/media?parent=69"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}