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8090 [49]
3 years ago
12

Regina Henry deposited $20,000 in a money market certificates that provides interest of 10% compound and quarterly if the amount

is maintained for 3 years. How much will Regina have at the end of 3 years? Will Smith will receive $80,000 5 years from now, from a trust fund established by his father. Assuming the appropriate interest rate for discounting is 12% (compound that semiannually), what is the present value of this amount today?

Business
1 answer:
Andrews [41]3 years ago
5 0

Answer:

Regina: Final amount=$62,769

Will Smith: Present value:  $213,216

Explanation:

Regina:

Compound quarterly means that each quarter of the year ( every three months) she will receive a 10% interest rate of her deposit. To convert this periodic rate to an annual rate( because the problem ask you about years) you use this formula :

Annual rate= ((1+Periodic rate)^(# periods))-1

In this case the number of periods means the number of quarters a year have, which is 4

Annual rate= ((1+10%)^(4))-1= 46.41%

To find the final amount Regina has after 3 year we use this formula:

Final Capital (FC)= Initial Capital (IC)*[(1+interest(i))]^(number of periods(n))

FC= $20,000*[(1+46.41%)^3]

FC=$62,769 I attached an excel figure which shows a more detailed data.

Will Smith

Semiannually means that every 6 months Will Smith will receive a 12% interest rate of the initial investment. To convert this periodic rate to an annual rate you use the same above formula:

Annual rate= ((1+Periodic rate)^(# periods))-1

In each year Will will receive twice the interest rate over the initial investment

Annual rate = ((1+12%)^(2))-1

Annual rate= 25.44%

The present value of $80,000 from now to 5 years is calculated using the formula attached, but I used Excel. First you have to copy all the cash flows of the 5 years. Then, you set the interest rate that in this case is the one that you found above( 25.44%). Finally you use the financial formula "NPV" in this way:

"=NPV(25.44%;C4:C8)" I used C4:C8 because in those excel cells i copied the cash flows.

I got that the present value of this amount is $213,216

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On June 3, Swifty Company sold to Chester Company merchandise having a sale price of $3,300 with terms of 2/10, n/60, f.o.b. shi
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Answer:

The Journal Entry and their narrations is shown below:-

Explanation:

The Journal entry is shown below:-

a. 1.Accounts Receivable Dr, $3,300

                   To Sales  $3,300

(Being sales is recorded)

Cash Dr, $3,234

Sales Discount Dr,  $66

(3,300 × 2%)

            To Accounts Receivable $3,300

(Being Payment received is recorded)

2. Accounts Receivable Dr, $3,234

=(3,300 × 0.98)

            To Sales $3,234

(Being sales is recorded)

Cash Dr, $3,234    

        To Accounts Receivable $3,234  

(Being payment received is recorded)

b. Cash Dr, $3,300  

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2 years ago
The production department of Zan Corporation has submitted the following forecast of units to be produced by quarter for the upc
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Answer:

1 & 2. Purchases of Raw Material

                          Purchases in grams                       Cost  

  Quarter 1               68,250                                      $ 81,900

  Quarter 2              82,250                                      $ 98,700

  Quarter 3              75,250                                       $ 90,300

  Quarter 4              60,500                                       <u>$ 72,600</u>

  Full year                                                                  $ 343.500

3. Expected Cash disbursements

  Quarter 1                                                                  $ 54,740

  Quarter 2                                                                 $ 91,980

  Quarter 3                                                                 $ 93.660  

  Quarter 4                                                                 <u>$ 79,680</u>

Total Year payments                                                 $ 320,060

4.  Total cost of Direct Labor    

  Quarter 1                                                                  $ 27,900

  Quarter 2                                                                 $ 37,200

  Quarter 3                                                                 $ 34,100  

  Quarter 4                                                                 <u>$ 31,000</u>

Total Year for direct labor                                       $ 130,200

Explanation:

Computation of raw material purchases

<u>Raw material consumption</u>

Qtr No of Units per qtr Total Requirement

1        9,000 * 7 gms per unit =      63,000 gms

2      12,000 * 7 gms per unit =      84,000 gms

3       11,000 * 7 gms per unit =      77,000 gms

4       10,000 * 7 gms per unit =     <u>70,000</u> gms

Total Year                                     294,000 gms

Raw Material Purchases for each quarter

Purchases = Closing inventory + Consumption - Opening inventory

1 21,000 (84,000gms * 25 % ) + 63,000 - 15.750 =  68,250 gms  

2 19,250 (77,000gms* 25 %) + 84,000 - 21,000 =  82,250 gms

3 17,500 ( 70,000gms* 25 %) + 77,000-19,250 =  75,250 gms

4 8,000 ( As per data) + 70,000-17.500            =  60,500 gms

Total year purchases =                                       =  286,250 gms

<u>Cost of purchases</u>

Quarter 1    68,250 gms  * $ 1.20     = $  81,900

Quarter 2   82,250 gms * $ 1.20      = $  98,700

Quarter 3   75,250 gms * $ 1,20     =  $ 90,300

Quarter 4   60,500 gms * $ 1,20    =   <u>$ 72,600</u>

Total purchases                                   $ 343,500

Computation of cash disbursements for purchases

Quarter 1 Payments = Opening Payables + 60 % of quarter 1

$ 5,600 + ( 60 %* $ 81,900) = $ 5,600 + $ 49,140 =               $ 54,740

Quarter 2 payments

(40 % of quarter 1) + ( 60 % of quarter 2)

($ 81,900 * 40 %) + ( $ 98,700 * 60 %)

$ 32,760 + $ 59,220                                               =                $ 91,980

Quarter 3 payments

(40 % of quarter 2) + ( 60 % of quarter 3)

($ 98,700 * 40 %) + ( $ 90,300 * 60 %)

$ 39,480 + $ 54,180                                                =                $ 93.660    

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(40 % of quarter 3) + ( 60 % of quarter 4)

($ 90,300 * 40 %) + ( $ 72,600 * 60 %)

$ 36,120 + $ 43,560                                                =               <u> $ 79,680</u>

Total payments for purchases for the year                            $ 320,060

Computation of direct labor cost  

No of units * Estimated Direct labor hours * Labor rate per hour

Quarter 1  =    9,000 * 0.20 per unit * $ 15.50               =         $  27.900

Quarter 2  =   12,000 * 0.20 per unit * $ 15.50               =        $  37.200

Quarter 3       11,000 * 0.20 per unit * $ 15.50               =         $  34.100

Quarter 4       10,000 * 0.20 per unit * $ 15.50               =         <u>$  31.000</u>

Total cost for Direct labour                                                        $ 130,200

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