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Mumz [18]
3 years ago
15

How much would $500 invested at 8% interest compounded continuously be worth after 3 years? round your answer to the nearest cen

t?
Business
1 answer:
bonufazy [111]3 years ago
4 0
Amount of investment after n years at continuous compounding is givent by A = Pe^rn; where P is the initial investment, r is the rate.

Therefore, the value of $500 invested at 8% interest compounded continuously is given by 500e^(0.08 x 3) = 500e^0.24 = 500 x 1.2712 = $635.62
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You bought one of Lambert Sandblasting Company's 15-year bonds one year ago for $960. These bonds pay 7 percent annually, have a
maksim [4K]

Answer:

Real return on investment: 22.9465%

Explanation:

Okay let's explain each concept we have given:

<em>Face Value</em>                                         $1,000

This is the ammount Lambert will pay at maturity

Purchase Value                                   $  960

This is the Ammount we pay for the bond

<em>Market Value of the bond today         $   ???</em>

This is what we need to determinate to see the return we got

Once we got the market Value we will do:

Market Value / Purchase Value   - 1 = rate of return

Now the <em>market value today will be the present value of the bond,</em> and the bond has the following data:

  • Mature in 14 year
  • bond rate 7% annualy.

So each year we receive the 7% of the face value ($1,000) = $70

And at the end of the bond life we receive 1,000

We need to bring this numbers at present day using the real market rate, because the economy is having inflation:

market rate  8%

inflation rate 2.7%

real rate:  

(1+rate)/(1+inflation) -1 = real rate

\frac{1.08}{1.027} -1 = real rate

real rate = 5.16%

To know the present value of the bond we will have to consider:

  • present value of an annuity of 70$ during 14 year at a rate of 5.16% =
  • present value of the 1,000 that will be pay at maturity at a rate of 5.16%

<em>The annuity will be </em>

70 * \frac{1-(1+0.0516)^-14}{0.0516} = 685.87

C * \frac{1-(1+rate)^-time}{rate} = present value

$685,87

<em>The present value of the 1,000 will be</em>  

face value/(1+rate)^time

1,000/(1+0.0516)^14 = $494,42

for a total of $1.180,29

Now we will calculate the real return on the investment:

we receive 1.180,29 for 960 so the rate is

1.180,29 /960 - 1 = 0.229465 =  22.9465%

8 0
3 years ago
Nielsen Audio is in the process of attempting to get away from the paper-diary method of data collection by having people carry
vlada-n [284]

Answer:

A. Portable people meter

Explanation:

The portable people meter also called the Nielsen meter or PPM for short is a device used to define listening habits on behalf of radio stations across the United states of America. It records media when it is being used and by who is using it. It's like a pager like device in which people carry out through out the day. The Nielsen then uses data it gets to produce monthly ratings of local reports for each markets.

7 0
3 years ago
A store puts everything on sale for 20% off. If the sales tax is 8%, what percent of the original marked price is the final cost
iogann1982 [59]

Answer:

86.4%

Explanation:

the original marked price is m

then with a sales discount of 20%

the (pre-sales tax) sale price is 100%−20%=80% of 

The post-sales tax price is the pre-sales tax price plus 8%,

that is the post-sales tax price is 108%=1.08 of the pre-sales tax price.

Therefore the final cost (i.e. the post-tax price) is

4 0
3 years ago
​small businesses are hesitant to involve in global business because it:
7nadin3 [17]
<span>Small businesses are hesitant to involve in global business because it involves various trade laws or tariffs. Taking that kind of plunge in the business world for a business of small scale is risky situation or at least the small business owners feel. Sometimes this would be the turning point for these businesses to break out huge.</span>
4 0
3 years ago
Tv hosts for the “make me a millionaire” game show?
yulyashka [42]
I would do make me a millionaire
6 0
3 years ago
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