Is it possible to solve this equation?

[Dari]

(150R^t)-10(sum(R^t,t,1,t-1))-10t=0
where R=1.1

I tried using the normal solve technique in Matlab and it produced an error.

For the curious, this is a country living off its foreign assets to pay its seconday deficit. Time t is the period before they switch to inflationary financing.
The lecture notes had a much simpler function that I believed was incorrect: 150-10t=0

 

[arcenite]

42

 

[JTsyo]

would sum(R^t,t,1,t-1) be the same as R^t+2*t?

Around 8.5 would be the min, won't reach zero, I think.

 

[ConwayJim]

Originally posted by: Dari
(150R^t)-10(sum(R^t,t,1,t-1))-10t=0
where R=1.1

I tried using the normal solve technique in Matlab and it produced an error.

For the curious, this is a country living off its foreign assets to pay its seconday deficit. Time t is the period before they switch to inflationary financing.
The lecture notes had a much simpler function that I believed was incorrect: 150-10t=0

hmmm...it could be solved....and i use this term loosely...COULD...

 

[TuxDave]

Originally posted by: Dari
(150R^t)-10(sum(R^t,t,1,t-1))-10t=0
where R=1.1

I tried using the normal solve technique in Matlab and it produced an error.

For the curious, this is a country living off its foreign assets to pay its seconday deficit. Time t is the period before they switch to inflationary financing.
The lecture notes had a much simpler function that I believed was incorrect: 150-10t=0

150-10t=0
t = 15

Plugging it back to your original equation:

168.8624 = 0

Looks like that was a pretty shitty simplification.

Also using the powers of excel and expanding to to 100, the answer is not converging. So your original equation is broken.

 

[leftyman]

this should be a multiple choice question. Then at least I could guess and maybe look smart. :thumbsup:

 

[Dari]

Originally posted by: TuxDave

Originally posted by: Dari
(150R^t)-10(sum(R^t,t,1,t-1))-10t=0
where R=1.1

I tried using the normal solve technique in Matlab and it produced an error.

For the curious, this is a country living off its foreign assets to pay its seconday deficit. Time t is the period before they switch to inflationary financing.
The lecture notes had a much simpler function that I believed was incorrect: 150-10t=0

150-10t=0
t = 15

Plugging it back to your original equation:

168.8624 = 0

Looks like that was a pretty shitty simplification.

Also using the powers of excel and expanding to to 100, the answer is not converging. So your original equation is broken.

Right. I think it should be this instead:
(150R^t)-10(sum(R^t,t,1,t-1))-10=0

EDIT: I'm trying to account for the interest accrued in each period from the remaining assets. It should be close to 15, but a bit more.