All categories

2 years ago

How long will it take money to double if compounded continuously

Business

1 answer:

allsm [11]2 years ago

7 0

Answer:

The basic rule of 72 says the initial investment will double in 3.27 years.

You might be interested in

You are interested in valuing a 2-year semi-annual corporate coupon bond using spot rates but there are no liquid strips availab

Scorpion4ik [409]

Answer:

Following are the solution to this question:

Explanation:

Assume that $r_1$ will be a 12-month for the spot rate:

$\to 1.25 \% \times \frac{100}{2} \times 0.99 + \frac{(1.25\% \times \frac{100}{2}+100)}{(1+\frac{r_1}{2})^2}=98\\\\\to \frac{1.25}{100} \times \frac{100}{2} \times 0.99 + \frac{(\frac{1.25}{100} \times \frac{100}{2}+100)}{(1+\frac{r_1}{2})^2}=98\\\\\to \frac{1.25}{2} \times 0.99 + \frac{(\frac{1.25}{2} +100)}{(1+\frac{r_1}{2})^2}=98\\\\\to 0.61875 + \frac{( 0.625 +100)}{(\frac{2+r_1}{2})^2}=98\\\\\to 0.61875 + \frac{( 100.625)}{(\frac{2+r_1}{2})^2}=98\\\\\to 0.61875 + \frac{402.5}{(2+r_1)^2}=98\\\\$

$\to 0.61875 + \frac{402.5}{(2+r_1)^2}=98\\\\\to 0.61875 -98 = \frac{402.5}{(2+r_1)^2}\\\\\to -97.38125= \frac{402.5}{(2+r_1)^2}\\\\\to (2+r_1)^2= \frac{402.5}{ -97.38125}\\\\\to (2+r_1)^2= -4.13\\\\ \to r_1=3.304\%$

Assume that $r_2$ will be a 18-month for the spot rate:

$\to 1.5\% \times \frac{100}{2} \times 0.99+1.5\% \times \frac{100}{2} \times \frac{1}{(1+ \frac{3.300\%}{2})^2}+\frac{(1.5\% \times \frac{100}{2}+100)}{(1+\frac{r_2}{2})^3}=97\\\\\to \frac{1.5}{100} \times \frac{100}{2} \times 0.99+\frac{1.5}{100} \times \frac{100}{2} \times \frac{1}{(1+ \frac{\frac{3.300}{100}}{2})^2}+\frac{(\frac{1.5}{100} \times \frac{100}{2}+100)}{(1+\frac{r_2}{2})^3}=97\\\\$

$\to \frac{1.5}{2} \times 0.99+\frac{1.5}{2}\times \frac{1}{(1+ \frac{\frac{3.300}{100}}{2})^2}+\frac{(\frac{1.5}{2} +100)}{(1+\frac{r_2}{2})^3}=97\\\\\to 0.7425+0.75 \times \frac{1}{(1+ \frac{\frac{3.300}{100}}{2})^2}+\frac{(0.75 +100)}{(1+\frac{r_2}{2})^3}=97\\\\\to 1.4925 \times \frac{1}{(1+0.0165)^2}+\frac{(100.75 )}{(1+\frac{r_2}{2})^3}=97\\\\\to 1.4925 \times \frac{1}{(1.033)}+\frac{(100.75 )}{(1+\frac{r_2}{2})^3}=97\\\\$

$\to 1.4925 \times 0.96+\frac{(100.75 )}{(1+\frac{r_2}{2})^3}=97\\\\\to 1.4328+\frac{(100.75 )}{(1+\frac{r_2}{2})^3}=97\\\\\to 1.4328-97= \frac{(100.75 )}{(1+\frac{r_2}{2})^3}\\\\\to -95.5672= \frac{(100.75 )}{(1+\frac{r_2}{2})^3}\\\\\to (1+\frac{r_2}{2})^3= -1.054\\\\\to r_2=3.577\%$

Assume that $r_3$ will be a 18-month for the spot rate:

$\to 1.25\% \times \frac{100}{2} \times 0.99+1.25\% \times \frac{100}{2} \times \frac{1}{(1+\frac{3.300\%}{2})^2}+1.25\%\times\frac{100}{2} \times \frac{1}{(1+\frac{3.577\%}{2})^3}+(1.25\% \times \frac{\frac{100}{2}+100}{(1+\frac{r_3}{2})^4})=96\\\\$

to solve this we get $r_3=3.335\%$

4 0

2 years ago

What are long-term decisions that set the direction for the entire organization called?a. Tactical b. Operational c. Directional

kvv77 [185]

Answer:

The correct answer is letter "E": Strategic.

Explanation:

Strategic decisions imply analyzing what direction is the overall company going to take in the long run. It represents the groups of decisions high-rank executives must take to conduct the operations of the firm, the resources that will be used and how they will combine those factors to reach the organization's objectives.

8 0

3 years ago

The difference between a secured loan and an unsecured loan is _____.

PSYCHO15rus [73]

D. a secured loan requires collateral and an unsecured loan does not

5 0

2 years ago

Read 2 more answers

Sharon works for a cereal manufacturing company. Her company recently built a manufacturing facility in Canada and agreed to tak

sergejj [24]

Answer:

d. buyback

Explanation:

The scenario that is being described is a form of countertrade known as buyback. There are two reasons why this usually happens. The first is that the manufacturing company has limited access to liquid funds in the country which they are currently located and the goods provide better value. The second circumstance would be that they believe that the product being produced will increase in value and their profits will increase by holding the product as opposed to liquid funds.

4 0

2 years ago

________ advertising encourages wholesalers and retailers to carry the products of a specific manufacturer.

NARA [144]

<span>Trade advertising encourages wholesalers and retailers to carry the products of a specific manufacturer.
Trade advertising is the type of advertising which is directed towards the wholesaler or retailer. Trade Advertising is not intended for the consumer. Trade advertising is held by the manufacturer. </span>

4 0

2 years ago