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katovenus [111]
3 years ago
8

a person was able to invest 1,000 per month for 30 years with interest rate of 5%. 1. find out how much the person will have in

30 years.2. Do a scenario analysis with the following scenarios: A. 20 years and $1500 investment per month, B. 25 years and $800 investment
Business
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

1.  $832,258.64

2. $616,550.50

3. $476,407.77

Explanation:

As the question is concerned, we are to calculate the Future value for the following data

1. PV = 0

PMT = 1,000

N = 30*12 = 360

I = 5%/12

Future Value = PV (PMT, N, I)

Future Value =  PV(0, 1,000, 360,0.05/12)

Future Value =  $832,258.6354

Future Value =  $832,258.64

2.   PV = 0

PMT = 1,500

N = 20*12 = 240

I = 5%/12

Future Value = PV (PMT, N, I)

Future Value = PV  (0, 1,500,240, 0.05/12]

Future Value = 616,550.5028

Future Value = $616,550.50

3.  PV = 0

PMT = 800

N = 25*12 = 300

I = 5%/12

Future Value = PV (PMT, N, I)

Future Value =  PV (0, 800, 300, 0.05/12]

Future Value = 475,407.7668

Future Value = $476,407.77

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Answer:

Habit Loop

Explanation:

Habit Loop -

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5 0
3 years ago
Sam is getting his bachelor's degree. During some of his course work, he honed his research skills and learned to exhibit confid
xz_007 [3.2K]

Answer:

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Explanation:

cuz i said

3 0
4 years ago
Read 2 more answers
XYZ, Inc. just paid an annual per share dividend of $3.50. Dividends are expected to grow at a rate of 3% per year from here on
Agata [3.3K]

Answer:

P0 = $42.4117 rounded off to $41.41

Explanation:

Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D0 * (1+g) / (r - g)

Where,

D0 is the dividend paid  recentl

D0 * (1+g) is dividend expected for the next period /year

g is the growth rate

r is the required rate of return or cost of equity

First we need to calculate the required rate of return on this stock using CAPM.

Using the CAPM, we can calculate the required rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.

The formula for required rate of return under CAPM is,

r = rRF + Beta * (rM - rRF)

Where,

rRF is the risk free rate

rpM is the market return

r = 0.025 + 2 * (0.07 - 0.025)

r = 0.115 or 11.5%

Using the constant growth of dividend formula,

P0 = 3.5 * (1+0.03)  /  (0.115 - 0.03)

P0 = $42.4117 rounded off to $41.41

3 0
3 years ago
Pera Inc. wishes to issue new bonds. These are 5-year bonds with semi-annual interest; $1,000 par value, and a yield to maturity
Gemiola [76]

Answer:

coupon rate= 13.5%

Explanation:

Giving the following information:

Number of periods= 5*2= 10 semesters

Par value= $1,000

YTM= 0.1/2 = 0.05

Price bond= $1,136

<u>To calculate the coupon rate, first, we need to determine the coupon per semester using the following formula:</u>

Bond Price​= coupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

1,136 = coupon*{[1 - (1.05^-10)] / 0.05} + [1,000/(1.05^10)]

1,136 = coupon*7.722 + 613.91

522.09 = coupon*7.722

$67.61=coupon

<u>Now, the coupon rate:</u>

Coupon= par value*(coupon rate/2)

67.61= 1,000*(coupon rate/2)

67.61= 500coupon rate

0.135=coupon rate

coupon rate= 13.5%

5 0
3 years ago
Suppose an Exxon Corporation bond will pay $4,500 ten years from now. If the going interest rate on safe 10-year bonds is 4.25%,
Luda [366]

Answer:

The answer is a. $2,967.92

Explanation:

Calculation of prent value

Present value = p* (1+i)^-10

Present value = $4,500 * (1+0.0425)^-10= <u>$2,967.92</u>

4 0
3 years ago
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