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trapecia [35]
3 years ago
7

Your grandfather has promised to give you​ $500 a year at the end of each of the next four years if you earn Cs or better in all

of your courses each year. Using a discount rate of​ 7%, which of the following is correct for determining the present value of the​ gift?
a. PV = $500x7%x4
b. PV = $500x(PV factor, i=4%, n =7)
c. PV = $500x(Annuity PV factor, i=7%, n=4)
d. PV = $500x(Annuity PV factor, i=7%, n=4)
Business
2 answers:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

d. PV = $500x(Annuity PV factor, i=7%, n=4)

Explanation:

A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity.

Formula for Present value of annuity is as follow

PV of annuity = P x Present value factor

PV of annuity = P x [ ( 1- ( 1+ i )^-n ) / i ]

As discount rate is 7%, so

i = 7%

Number of payments is 4

n = 4

Bezzdna [24]3 years ago
5 0

Answer:

The correct answer is option (d) PV = $500x(Annuity PV factor, i=7%, n=4)

Explanation:

Given data;

P = $500

rate (r) = 7%

years (n)= 4

The present value of goods is determined using the formula;

PV of annuity = P x Annuity present value factor----------------1

But,

<h3>Annuity present value factor =  [1-(1+i)⁻ⁿ)]/i ------------2</h3>

Putting equation 2 into equation 2, we have

PV of annuity = P x Annuity present value factor

<h3>PV of annuity = P * [1-(1+i)⁻ⁿ)]/i -----------------------3</h3>

where;

PV = present value

i = rate

n = number of years

P = price

To calculate PV using equation 3, option (d) is the appropriate option

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At the present time, Water and Power Company (WPC) has 10-year noncallable bonds with a face value of $1,000 that are outstandin
ArbitrLikvidat [17]

Answer:

d. 2.94%

Explanation:

First, Calculate the Yield to maturity of the bond using the following formula

Use the following formula to calculate the YTM

P = [ C x ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Where

F = Face value = $1,000

P = Price = $1,495.56

C = Coupon payment = Face value x Coupon rate = $1,000 x 10% = $100

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r = YTM = ?

Placing values in the formula

$1,495.56 = [ $100 x ( 1 - ( 1 + r )^-10 ) / r ] + [ $1,000 / ( 1 + r )^10 ]

r = 3.916%

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After-tax cost of debt = YTM x ( 1 - Tax rate )

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After-tax cost of debt = 2.937%

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SANDHILL CO. Trial Balance August 31, 2017 Before Adjustment After Adjustment Dr. Cr. Dr. Cr. Cash $10,890 $10,890 Accounts Rece
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Answer Explanation:

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             Salaries and Wages Payable                    1,320 credit

to record accrued salaries for the period

depreciation expense            1,200 debit

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to record depreciation for the year

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to record use of supplies for the year

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4 0
3 years ago
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galben [10]

Answer:

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stepladder [879]

Answer:

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Explanation:

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In the given scenario, the strike price is $30. The trader pays an additional $3 for the right to exercise the option, thus paying a total of $33 for the option.

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