Question

Акционерное общество МММ-лимитед объявило котировку своих акций на ближайшие 3 месяца с приростом в процентах последовательно по месяцам на 243%, 412% и 629% по отношению к каждому предыдущему месяцу. Каков средний ежемесячный рост котировок акций за указанный период?

Answer 1

Х - первоначальная сумма
х + 2,43х = 3,43х - сумма  за первый смесяц
3,43х + 4,12 * (3,43х) = 17,5616х - сумма за второй месяц
17,5616х+6,29* 17,5616х =128,024064 х - сумма за третий месяц

прирост за первый месяц = 3,43х-х = 2,43х
прирост за второй месяц = 17,5616х-3,43х = 14,1316х
приротсза третий месяц = 128,024064х - 14,5616х =113,462464х
 
(2,43х+14,1316х+113,462464х)/3=примерно 43,34х
примерно 433 процента ещемесячно в средем

Answer 2

Answer in detail. The joint-stock company MMM-limited announced the quotation of its shares for the next 3 months with an increase in percentages sequentially by months of 243%, 412% and 629% relative to each previous month. What is the average monthly growth rate of the stock quotes for the specified period?

The average monthly growth rate of the stock quotes for the specified period can be calculated using the following formula:

$$r = \sqrt[n]{\frac{P_n}{P_0}} - 1$$

where $r$ is the average monthly growth rate, $n$ is the number of months, $P_n$ is the final price of the stock, and $P_0$ is the initial price of the stock.

Assuming that the initial price of the stock is $P_0 = 100$, we can find the final price of the stock after 3 months by multiplying the initial price by the percentage increase for each month:

$$P_3 = P_0 \times (1 + 2.43) \times (1 + 4.12) \times (1 + 6.29)$$

$$P_3 = 100 \times 3.43 \times 5.12 \times 7.29$$

$$P_3 = 12738.64$$

Therefore, the average monthly growth rate of the stock quotes for the specified period is:

$$r = \sqrt[3]{\frac{12738.64}{100}} - 1$$

$$r = 3.32 - 1$$

$$r = 2.32$$

This means that the stock quotes increased by 232% on average every month for the next 3 months. This is a very high and unrealistic growth rate, and it may indicate that the joint-stock company MMM-limited is involved in some kind of fraudulent scheme or pyramid scheme. Investors should be very cautious and do their own research before investing in such companies.