1. Find Future value factor for Interest rate i = 10%, Compounded (n) = 3, using Annuity Due method

Solution:
`i=10%=0.1` per year (Interest rate)

`n=3` years (Number of periods)

Future value factor of Annuity Due
`FVF=[((1+i)^n-1)/(i)]*(1+i)`

`=[((1+0.1)^3-1)/(0.1)]*(1+0.1)`

`=[((1.1)^3-1)/(0.1)]*(1.1)`

`=[(1.33-1)/(0.1)]*(1.1)`

`=[(0.33)/(0.1)]*(1.1)`

`=(3.31)*(1.1)`

`=3.64`

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2. Find Future value factor for Interest rate i = 5%, Compounded (n) = 5, using Annuity Due method

Solution:
`i=5%=0.05` per year (Interest rate)

`n=5` years (Number of periods)

Future value factor of Annuity Due
`FVF=[((1+i)^n-1)/(i)]*(1+i)`

`=[((1+0.05)^5-1)/(0.05)]*(1+0.05)`

`=[((1.05)^5-1)/(0.05)]*(1.05)`

`=[(1.2763-1)/(0.05)]*(1.05)`

`=[(0.2763)/(0.05)]*(1.05)`

`=(5.5256)*(1.05)`

`=5.8019`

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