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wolverine [178]
3 years ago
7

Alfredo has two offers for his grocery shop. The first offer is a cash payment of $60,000, and the second is a down payment of $

10,000 with payments of $6,000 at the end of each semiannual period for 5 years. Assuming an interest rate of 6% compounded semiannually, find the difference between the two present values. State the answer as an absolute value.
Business
1 answer:
lara [203]3 years ago
7 0

Answer:

First Offer  

Present value = $60,000

Second Offer  

PV = Down payment + A<u>(1 -(1 + r/m)</u>-nm

                                                 r/m

PV = $10,000 + $6,000(<u>1- (1+ 0.06/2</u>))-5x2

                                                0.06/2

PV = $10,000 + $6,000(<u>1 - (1 + 0.03</u>))-10

                                                 0.03

PV = $10,000 + 6,000<u>(1 - (1.03)</u>)-10

                                             0.03

PV = $10,000 + 6,000(8.5302)

PV = $61,181

The difference between the two present values

= $61,181 - $60,000

= $1,181

Explanation:

The present value of the cash payment is $60,000. The present value of the second offer is the down payment plus the present value of semi-annual payments. We need to use the present value of annuity formula so as to determine the present value of semi-annual payments. Then. we will deduct the present value of the first offer from the present value of the second offer in order to obtain difference in present values.

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This question is incomplete. The complete question is given below:

The Booth Company's sales are forecasted to double from $1,000 in 2016 to $2,000 in 2017. Here is the December 31, 2016, balance sheet:

Cash  $  100  Accounts payable  $   50

Accounts receivable  200  Notes payable  150

Inventories  200  Accruals  50

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Common stock  100

Retained earnings  250

Total assets  $1000  Total liabilities and equity  $1000

Booth's fixed assets were used to only 50% of capacity during 2016, but its current assets were at their proper levels in relation to sales. Spontaneous liabilities and all assets except fixed assets must increase at the same rate as sales, and fixed assets would also have to increase at the same rate if the current excess capacity did not exist. Booth's after-tax profit margin is forecasted to be 3% and its payout ratio to be 50%. What is Booth's additional funds needed (AFN) for the coming year? Round your answer to the nearest dollar.

Answer:

Booth's additional funds needed (AFN) for the coming year = 370

Explanation:

Additional Funds Needed (AFN):

Additional Funds Needed (AFN) is a way of calculating how much new funding will be required, so that the firm can realistically look at whether or not they will be able to generate the additional funding and therefore be able to achieve the higher sales level.

Formula of AFN:

AFN = [ ( A / S0 ) * ΔS - ( L / S0 ) * ΔS - MS1 * ( RR ) ]

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A = Assets linked with sales

Formula for Assets:

Assets = Cash + Account receivable + Inventories

As

Cash = 100

Account receivable = 200

Inventories = 200

therefore by putting the values in the above formula, we get

= 100 + 200 + 200

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ΔS = Difference in sales between S0 and S1

S0 = Sales of last year

S1 = Total projected sales for next year

As the Booth Company's sales are forecasted to double from $1,000 in 2016 to $2,000 in 2017 so

ΔS = 2000 - 1000

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L = Spontaneous liabilities

Formula for Spontaneous liabilities:

L = Accounts payable + Accruals

therefore by putting the values in the above formula, we get

L = 50 + 50

L = 100

MS1 = Projected net income

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M = 0.05

RR = 1 - 0.7

RR = 0.3

therefore by putting the values in the above formula, we get

Additional Funds Needed = ( 500 / 1000 ) * 1000 - ( 100 / 1000 ) * 1000 - 0.05 * 2000 * 0.3

Additional Funds Needed = 370

Therefore, Booth's additional funds needed (AFN) for the coming year = 370

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Answer:

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