Simple for Loop calculation help MATLAB!

Matlab

I want to calculate anual compound of an investment using for loop, lets call its P is a final value.

I have 3 variables P0 the investment amount, r is rate, and y=years.

Can you help me outline the code using for loop to calculate the annually compound P if 3 variables are fixed?

Answer 1

[Chunru]

Using loop (for integer number of years):

P0 = 1000;
r = 0.05;
y = 3;

P = P0;     % initialization
for i=1:y
    P = P0*(1+r);
end
fprintf('P=%.2f\n', P);

P=1050.00

[Tri Dang]

thank you so much

for the second part, how can I write a code, lets call it a #term (i) which is a min number of term require for the value of P to exceed 3 times the orignial value of P0 with given r

[Chunru]

This is brute force method using loop. There is close-form formula for such problem.

P0 = 1000;
r = 0.05;
y = 0;
P = P0;
while true
    y = y + 1;
    P = P*(1+r);
    if P>=3*P0
        break;
    end
end
fprintf('y=%d, P=%.2f\n', y, P)

y=23, P=3071.52