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Aleks04 [339]
2 years ago
9

(A bond forward) A certain 10-year bond is currently selling for $920 A friend of yours owns a forward contract on this bond tha

t has a delivery date in 1 year and a delivery price of s 940. The bond pays coupons of $ 80 every 6 months, with one due 6 months from now and another just before maturity of the forward. The current interest rates for 6 months and 1 year (compounded semiannually) are 7% and 8%. respectively (annual rates compounded every 6 months). What is the current value of the forward contract? First solve for the current forward price Ft of the bond:
Hint Ft d,M) に1 d(k,M) S=920 d(0, M)- d(2, M) c(k)- 80
Business
1 answer:
sleet_krkn [62]2 years ago
4 0

Answer: -$100

Explanation:

Value of forward contract = Selling price - Forward price on bond

Forward price = Present value of cashflows + Present value of bond

Periodic rate = 7%/ 2 = 3.5% per semi annum

= 8% / 2 = 4%

3.5% will be used to discount the payment 6 months from now as that is the 6 month rate. The rest will be 4%.

= (80 / (1 + 3.5%) ) + ( 80 / ( 1 + 4%)²) + (940 / ( 1 +4%)²)

= $1,020.342

= $1,020

Value of forward contract = 920 - 1,020

= -$100

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Answer:

                       Submarine Company

Income statement under absorption costing

                                                                        $                 $

Sales (1,800 units x $150)                                              270,000

Less: Full cost:

Direct material (2,000 units x $40)             80,000                                                                                                                                                                                                                                              

Direct labour (2,000 units x $50)                100,000

Variable overhead (2,000 units x $10)        20,000

Fixed overhead (2,000 units x $20)            <u>40,000</u>

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Less: Closing stock (200 units x $120)        <u>24,000  </u>      <u>216,000</u>

Gross profit                                                                         54,000

Less: Selling and administrative expenses:

Variable selling and administrative                                    36,000

Fixed selling and administrative expenses  <u>15,000</u>          <u>51,000</u>

Net profit                                                                                3<u>,000</u><u>  </u>  

                             Submarine Company      

Income statement using marginal costing

                                                                         $                  $                

Sales (1,800 units x $150)                                              270,000

Less: Variable costs:

Direct material (2,000 units x $40)             80,000                                                                                                                                                                                                                                              

Direct labour (2,000 units x $50)                100,000

Variable overhead (2,000 units x $10)        <u>20,000</u>

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Less: Closing stock (200 units x $100)        <u>20,000</u>        

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Add: Variable selling and administrative     <u>36,000</u>       <u>216,000</u>

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Less: Fixed cost:

Fixed production cost                                    40,000

Fixed selling and administrative expenses  <u>15,000</u>          <u>55,000</u>

Net loss                                                                               <u> (1,000)   </u>    

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                                        Closing stock         Net profit/loss

                                                 $                           $

Absorption costing               24,000                 3,000

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Difference                             <u>4,000   </u>                  <u> 4,000</u>

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In marginal costing, variable costs are deducted from sales in order to obtain the contribution margin. Net profit is calculated by deducting fixed costs from the contribution margin. Closing stock is valued at marginal cost per unit in marginal costing. Closing stock is the difference between production units and sales units. Marginal cost is the sum total of all variable costs.

In absorption costing, full costs are deducted from sales in order to obtain the gross profit. Net profit is the difference between gross profit and selling and administrative expenses. Closing stock is valued at full cost in absorption costing. Full cost is the aggregate of variable costs per unit and fixed costs per unit.

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