Recall the definitions of the actuarial notations. Prove the following identities: (a) a| + Snt = vt sm for 0tn. (b) v2v2 + 3v3 + +2v2n2+v2n-1 + (n 1)vn1 + nv + (n 1)vn+1 + (n 2)vn+2 + ann. (c) (Ia) = 1 (d) f[0,1] 1+r1 f[1,2] (1+r) n d isn f[n1,n] (1+rn) n 1 (1+rn) n , - where rk is the k-th spot rate and f[k1,k] is the annual forward rate between time k 1 and k. Please select file(s) Select file(s)