An asset has had an arithmetic return of 10.3 percent and a geometric return of 8.3 percent over the last 90 years. What return would you estimate for this asset over the next 10 years? 25 years? 30 years?

Blume's formula combines the geometric and arithmetic means of an asset to be able to predict its returns in a given period.

The formula is;

= Geometric Mean*(T-1)/(N-1) + Arithmatic Mean *(N-T)/(N-1)

Where;

T = Period in question

N = Total period

10 years

= 8.3%*(10-1)/(90-1) + 10.3%*(90-10)/(90-1)

= 10.1 %

25 years

= 8.3%*(25-1)/(90-1) + 10.3%*(90-25)/(90-1)

= 9.76%

30 years

= 8.3%*(30-1)/(90-1) + 10.3%*(90-30)/(90-1)

= 9.65%

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