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Arturiano [62]
3 years ago
12

Both Bond Sam and Bond Dave have 7.3 percent coupons, make semiannual payments, and are priced at par value. Bond Sam has three

years to maturity, whereas Bond Dave has 20 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Sam and Bond Dave? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g.,32.16.) Percentage change in price of Bond Sam Percentage change in price of Bond Dave If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of Bond Sam and Bond Dave? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g. 32.16.) Percentage change in price of Bond Sam Percentage change in price of Bond Dave
Business
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

Sam change:   -5.13%

Dave change -18.01%

Explanation:

If interest rate increase by 2%

then the YTM of the bond will be 9.3%

We need eto calcualte the present value of  the coupon and maturity of the bond at this new rate:

<em><u>For the coupon payment we use the formula for ordinary annuity</u></em>

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

Coupon payment: 1,000 x 7.3% / 2 payment per year: 36.50

time 6 (3 years x 2 payment per year)

YTM seiannual: 0.0465 (9.3% annual /2 = 4.65% semiannual)

36.5 \times \frac{1-(1+0.0465)^{-6} }{0.0465} = PV\\

PV $187.3546

<u><em>For the maturity we calculate usign the lump sum formula:</em></u>

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity: $ 1,000.00

time: 6 payment

rate: 0.0465

\frac{1000}{(1 + 0.0465)^{6} } = PV  

PV   761.32

Now, we add both together:

PV coupon $187.3546 + PV maturity  $761.3154 = $948.6700

now we calcualte the change in percentage:

948.67/1,000 - 1 = -0.051330026 = -5.13

For Dave we do the same:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C 36.50

time 40

rate 0.0465

36.5 \times \frac{1-(1+0.0465)^{-40} }{0.0465} = PV\\

PV $657.5166

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity   1,000.00

time   40.00

rate  0.0465

\frac{1000}{(1 + 0.0465)^{40} } = PV  

PV   162.34

PV c $657.5166

PV m  $162.3419

Total $819.8585

Change:

819.86 / 1,000 - 1 = -0.180141521 = -18.01%

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sertanlavr [38]

Answer:

a-1) Pv = 52549

a-2) Pv = 56822

b-1) Fv = 77570

b-2 Fv = 83878

Explanation:

b-1) Future value:

S= Sum of amount of annuity=?

n=number of fixed periods=5 years

R=Fixed regular payments=13200

i=Compound interest rate= .081 (suppose annualy)

we know that ordinary  annuity:

S= R [(1+i)∧n-1)]/i

   = 13200[(1+.081)∧5-1]/.081

    =13200(1.476-1)/.081

    = 13200 * 5.8765

  S  = 77570

a.1)Present value of ordinary annuity:

Formula: Present value = C* [(1-(1+i)∧-n)]/i

                                  =13200 * [(1-(1+.081)∧-5]/.081

                                 =13200 * (1-.6774)/.081

                                =13200 * (.3225/.081)

                                =52549

a.2)Present value of ordinary Due:

Formula : Present value = C * [(1-(1+i)∧-n)]/i   *  (1+i)

                                    =  13200 * [(1- (1+.081)∧-5)/.081   * (1+.081)

                                 = 13200  * 3.9822 *  1.081

                               =  56822

b-2) Future value=?

we know that:         S= R [(1+i)∧n+1)-1]/i ]  -R

                             = 13200[ [ (1+.081)∧  5+1 ]-1/.081]   - 13200

                           = 13200 (.5957/.081)   -13200

                         = (13200 * 7.3544)-13200

                         = 97078  -  13200

                       =  83878

5 0
3 years ago
Which is true about the workplace of Construction workers? It can change. It is never outdoors. It can be in an existing buildin
rosijanka [135]

Answer:

#1, It can change and #3, it can be in an existing building to repair or remodel

Explanation:

Construction is not at a desk.

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3 years ago
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Evgen [1.6K]
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In numerical form on the left and written out on amount line
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3 years ago
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Variable costs are Group of answer choices
Alex

Answer:

B) costs that change with the level of production.

Explanation:

Variable costs are costs that change according to the total production output.

The two main cost components in the production process are fixed costs, which remain to be paid even if the firm shuts down temporarily, and variable costs, which are subject to change according to the level of production.

Therefore, the answer is alternative B)

4 0
3 years ago
Presented below is information related to Splish Company. Cost Retail Beginning inventory $362,797 $286,000 Purchases 1,370,000
KiRa [710]

Answer:

$200,455

Explanation:

For calculating the inventory by the conventional retail inventory method. we required to do the following computations which are shown below:

Using cost method

Goods available for sale:

= Beginning inventory + Purchases

= $362,797 + $1,370,000

= $1,732,797

Using retail method

Goods available for sale:

= Beginning inventory + Purchases  + Net markups - Net markdowns

= $286,000 + $2,145,000 + $80,300 - $27,800

= $2,483,500

Now

Cost to retail ratio = $1,732,797 ÷ ($286,000 + $2,145,000 + $80,300)

                             = $1,732,797 ÷ $2,511,300

                             = 0.69

Now

Estimated ending inventory at retail

= Goods available for sale under Retail method - Sales revenue

= $2,483,500 - $2,193,000

= $290,500

So,

Estimated ending inventory at cost:

= Estimated ending inventory at retail × Cost to retail ratio

= $290,500 × 0.69

= $200,455

5 0
3 years ago
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