Very stupid question by I desperately need help

[talalihin]

Hi guys!
I'm really sorry for such a stupid question but I just can't beleive these horrific numbers that I get (it's a bond pay,ent project...)
Nom1= 1000
CPI1=104.7. All CPIs are 104.7



There is 10 423 300 bonds. So you need to multiply the result of calculations in the formula by 10 423 300. Please write an answer.

 

[HallsofIvy]

Since you say "all CPIs are 104.7" (I presume you mean 104.7%)" every \(\displaystyle CPI_i+ 1%\) is 105.7%. The maximum of that and 101% is 105.7%. Multiplying 105.7% 16 times (for i= 2 to 17) gives \(\displaystyle (105.7%)^{16}\).

Yes, that is a very large number when written as a percentage. However, "105.7%" is basically a "shorthand" for 1.057 and \(\displaystyle (1.057)^{16}=2.822\) rounded to three decimal places or 282.2%. Subtracting 100% from that gives 182.2%.

 

[talalihin]

Since you say "all CPIs are 104.7" (I presume you mean 104.7%)" every \(\displaystyle CPI_i+ 1%\) is 105.7%. The maximum of that and 101% is 105.7%. Multiplying 105.7% 16 times (for i= 2 to 17) gives \(\displaystyle (105.7%)^{16}\).

Yes, that is a very large number when written as a percentage. However, "105.7%" is basically a "shorthand" for 1.057 and \(\displaystyle (1.057)^{16}=2.822\) rounded to three decimal places or 282.2%. Subtracting 100% from that gives 182.2%.

so it gives more than 11 500 000 000 if multiply by 10 423 300, right?

 

[talalihin]

Please, anybody, write an answer ?