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VARVARA [1.3K]
3 years ago
15

You are scheduled to receive annual payments of $11,100 for each of the next 24 years. Your discount rate is 10 percent. What is

the difference in the present value if you receive these payments at the beginning of each year rather than at the end of each year
Business
1 answer:
Lisa [10]3 years ago
3 0

Answer:

The difference in the present value is $988.32.

Explanation:

The difference in the present value can be calculated using the following 3 steps:

Step 1: Calculation of the present value if you receive these payments at the beginning of each year

This can be calculated using the formula for calculating the present value (PV) of annuity due given as follows:

PVA = P * ((1 - (1 / (1 + r))^n) / r) * (1 + r) .................................. (1)

Where;

PVA = Present value if you receive these payments at the beginning of each year = ?

P = Annual payments = $11,100

r = interest rate = 10%, or 0.10

n = number of years = 24

Substitute the values into equation (1), we have:

PVA = $11,100 * ((1 - (1 / (1 + 0.10))^24) / 0.10) * (1 + 0.10)

PVA = $10,871.54

Step 2: Calculation of the present value if you receive these payments at the end of each year

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PVO = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)

Where:

PVO = Present value if you receive these payments at the end of each year = ?

Other values are as defined in Step 1 above.

Substitute the values into equation (2), we have:

PVO = $11,100 * ((1 - (1 / (1 + 0.10))^24) / 0.10)

PVO = $9,883.22

Step 3: Calculation of the difference in the present value

This can be calculated as follows:

Difference in the present value = PVA - PVO = $10,871.54 - $9,883.22 = $988.32

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Answer:

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It should be noted that professional and private reputation is affected by material a person posts to an online discussion forum that is accessed only by people in his or her company.

7 0
3 years ago
Why should management increase with the size of the company?
Evgen [1.6K]

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When a company grows the number of managers are expected to increase so that the activities of the organization is effectively coordinated,growth can be properly and efficiently monitored and managed.

If growth is not efficiently monitored and managed it will hinder the overall performance of the organization.

6 0
3 years ago
West Corp. issued 20-year bonds two years ago at a coupon rate of 8.3 percent. The bonds make semiannual payments. If these bond
lora16 [44]

Answer:

Yield to Maturity (YTM) is 7.94 %.                      

Explanation:

Yield to Maturity (YTM) refers to internal rate of return that bond holder will earn if he purchased the bond today at the current market price and held it till maturity of the bond.

Yield to Maturity of the the bond = [Coupon payment+ (Future value of bond - Present value of bond / no. of Periods)] / [(Future value of bond + Present value of bond)/2] ---- (a)

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YTM = ?

Putting the values in equation (a),

Semi annual YTM = [41.5 + (1000-1040 / 40)] / [(1000 + 1040)/2]

Semi annual YTM = [41.5 + (-40/40) ] / [(1040)/2]

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Semi annualv YTM =  40.5 / 1020 = 0.0397

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6 0
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What are stakeholders
Neko [114]

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