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Nonamiya [84]
3 years ago
10

The LaGrange Corporation had the following budgeted sales for the first half of the current year: Cash Sales Credit Sales Januar

y $ 80,000 $ 180,000 February $ 85,000 $ 200,000 March $ 48,000 $ 160,000 April $ 43,000 $ 128,000 May $ 53,000 $ 230,000 June $ 110,000 $ 220,000 The company is in the process of preparing a cash budget and must determine the expected cash collections by month. To this end, the following information has been assembled: Collections on sales: 50% in month of sale 40% in month following sale 10% in second month following sale The accounts receivable balance on January 1 of the current year was $75,000, of which $47,000 represents uncollected December sales and $28,000 represents uncollected November sales. What is the budgeted accounts receivable balance on May 31
Business
1 answer:
Mariulka [41]3 years ago
7 0

Answer:

Budgeted Accounts Receivable Balance on May 31 = $127,800

Explanation:

Accounts Receivables are current assets of a company resulting from selling on credit and these accounts are the uncollected, outstanding balances.

Judging by the collection schedule we can determine the budgeted Accounts Receivables (uncollected) balances at 31 May

The November balance equals to 10% of total Credit sales and 10 % of November sales are collected in January

the December balance equals 50% and 40% of the balance will be collected on January  and 10% collected in February.

Fast forward to the collection of May

details              credit sales              May         Uncollected

Mar               $160,000*10%         $16,000

April              $128,000 * 40%       $51,200  

                     $128,000 *10%                           $12,800

May               $230,000 *50%      $115,000

                     $230,000 *50%                        $115,000

TOTAL                                                             $127,800

The budgeted June sales at 31 May have not yet occurred so the balance accounts receivable at 31 May include only the uncollected percent from April and May.

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Both Bond Bill and Bond Ted have 6.2 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 5 yea
iragen [17]

Answer:

a-1. Percentage change in the price of Bond Bill = -8.07%

a-2. Percentage change in the price of Bond Ted = -21.12%

b-1. Percentage change in the price of Bond Bill = 8.94%

b-1. Percentage change in the price of Bond Ted = 30.77%

c. See the attached excel file for the graph.

d. It tells us that the longer the term of a bond, the greater will be its interest rate risk.

Explanation:

The price of each bond can be calculated using the following excel function:

Bond price = -PV(YTM, NPER, PMT, FV) ........... (1)

Where;

a-1. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Bill?

YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%

NPER = Number of semiannuals to maturity = 5 * 2 = 10

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Bill = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Bill = -PV(4.1%, 10, 31, 1000)

Inputting =-PV(4.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Bill = $919.29

Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($919.29 - $1,000) / $1,000) * 100 = -8.07%

a-2. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Ted?

YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%

NPER = Number of semiannuals to maturity = 25 * 2 = 50

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Ted = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Ted = -PV(4.1%, 50, 31, 1000)

Inputting =-PV(4.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Ted = $788.81

Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($788.81 - $1,000) / $1,000) * 100 = -21.12%

b-1. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Bill be then?

YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%

NPER = Number of semiannuals to maturity = 5 * 2 = 10

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Bill = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Bill = -PV(2.1%, 10, 31, 1000)

Inputting =-PV(2.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Bill = $1,089.36

Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($1,089.36 - $1,000) / $1,000) * 100 = 8.94%

b-2. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Ted be then?

rate = new YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%

NPER = Number of semiannuals to maturity = 25 * 2 = 50

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Ted = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Ted = -PV(2.1%, 50, 31, 1000)

Inputting =-PV(2.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Ted = $1,307.73

Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($1,307.73 - $1,000) / $1,000) * 100 = 30.77%

c. Illustrate your answers by graphing bond prices versus YTM.

Note: See the attached excel file for the graph.

d. What does this problem tell you about the interest rate risk of longer-term bonds?

It tells us that the longer the term of a bond, the greater will be its interest rate risk.

Download xlsx
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Explanation

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Suppose there were several large outstanding checks on the year-end bank reconciliation that did not clear the bank by the cutof
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This can be defined as a written, dated, and signed instrument which directs a bank to pay a specific sum of money to the bearer.

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