Consider the following factors 1 FP1933 2 AG1354 Find the nu

Consider the following factors.

1. (F/P,19%,33)

2. (A/G,13%,54)

Find the numerical values of the factors using linear interpolation.

The numerical value of factor 1 is  .

The numerical value of factor 2 is  .

Solution

Answer:- (F/P,19%,33)

The above can be solved as (F/P,i%,n) =(1+i)ⁿ

(F/P,19%,33) = (1+0.19)³³ = 311.207

The numerical value of factor 1 is 311.207

Answer:- (A/G,13%,54)

The above can be solved as (A/G,i%,n) =(1/i) – [n/(1+i)ⁿ-1)]

(A/G,13%,54)=(1/0.13) – [54/(1+0.13)⁵⁴-1)]=7.692-0.0736=7.618

The numerical value of factor 2 is 7.618