Find the numerical value of the following factors using (a) linear interpolation and (b) the appropriate formula.
1. (F?P,18%,33)
2. (A?G,12%,54)
(a) 1. Interpolate between n = 32 and n = 34:
1/2 = x/78.3345
x = 39.1673
(F/P,18%,33) = 199.6293 + 39.1673
= 238.7966
2. Interpolate between n = 50 and n = 55:
4/5 = x/0.0654
x = 0.05232
(A/G,12%,54) = 8.1597 + 0.05232
= 8.2120
(b) 1. (F/P,18%,33) = (1+0.18)³³
= 235.5625
2. (A/G,12%,54) = {(1/0.12) – 54/(1+0.12)?? –1}
= 8.2143
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