Vault Guide Question

Can someone explain to me why the below holds true (from the vault guide)? Thanks.

Q: If you put $100 in the bank and got back $2 every year for the next 19
years and then in the 20th year, received $102, what is your IRR?

A: 2 percent. The duration of the investment does not matter.

 

You are receiving $2/yr for 20 years with the return of your principal in the 20th year. This is the same as a 20 yr 2% bond held to duration (assuming only annual distributions).

“There is only one corner of the universe you can be certain of improving, and that's your own self.” --Aldous Huxley
 

Do the IRR equation

0 = -100 + (2 / (1 + IRR)^1) + ..... + (2 / (1 + IRR)^19) + (102 / 1 + IRR)^20)

-100 => Initial Investment

2 => Cash flow years 1-19

102 => Cash flow year 20

Frank Sinatra - "Alcohol may be man's worst enemy, but the bible says love your enemy."
 
ddp34:
Okay, how would I do it without a calculator?
For any problem that can be reduced to a simple bond with yearly interest just use the below formula:

Interest / Principal

In this case: $2 / $100 = 0.02 = 2.0%

“There is only one corner of the universe you can be certain of improving, and that's your own self.” --Aldous Huxley
 

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