1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
omeli [17]
3 years ago
12

A 10-year maturity zero-coupon bond selling at a yield to maturity of 7.25% (effective annual yield) has convexity of 157.5 and

modified duration of 9.06 years. A 30-year maturity 7.5% coupon bond making annual coupon payments also selling at a yield to maturity of 7.25% has nearly identical duration—9.04 years—but considerably higher convexity of 251.6.

Business
2 answers:
TiliK225 [7]3 years ago
7 0

Answer:

For Zero coupon: 545.52

Explanation:

Check attachment

joja [24]3 years ago
4 0

Answer:

Check the explanation

Explanation:

Zero coupon

                 K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

                  k=1

                 K =10

Bond Price =∑ [(0*1000/100)/(1 + 7.25/100)^k]     +   1000/(1 + 7.25/100)^10

                  k=1

Bond Price = 496.62

Coupon bond

                 K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

                  k=1

                 K =30

Bond Price =∑ [(7.5*1000/100)/(1 + 7.25/100)^k]     +   1000/(1 + 7.25/100)^30

                  k=1

Bond Price = 1030.26

a

Zero coupon bond

New bond price at YTM =8.25

                 K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

                  k=1

                 K =10

Bond Price =∑ [(0*1000/100)/(1 + 8.25/100)^k]     +   1000/(1 + 8.25/100)^10

                  k=1

Bond Price = 452.61

Mod.duration prediction = -Mod. Duration*Yield_Change*Bond_Price

=-9.06*-0.01*496.62

=44.993772

Mod.duration prediction = -Mod. Duration*Yield_Change*Bond_Price

=-9.06*0.01*496.62

=-44.993772

New bond price at YTM =8.25 using duration and convexity

Convexity adjustment = 0.5*convexity*Yield_Change^2*Bond_Price

=0.5*157.5*0.01^2*496.62

=3.9108825

New bond price = bond price+Mod.duration pred.+convex. Adj.

=496.62+-44.99+3.91

=455.54

Coupon bond

New bond price at YTM =8.25

                 K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

                  k=1

                 K =30

Bond Price =∑ [(7.5*1000/100)/(1 + 8.25/100)^k]     +   1000/(1 + 8.25/100)^30

                  k=1

Bond Price = 917.52

Mod.duration prediction = -Mod. Duration*Yield_Change*Bond_Price

=-9.04*0.01*1030.26

=-93.135504

New bond price at YTM =8.25 using duration and convexity

Convexity adjustment = 0.5*convexity*Yield_Change^2*Bond_Price

=0.5*251.6*0.01^2*1030.26

=12.9606708

New bond price = bond price+Mod.duration pred.+convex. Adj.

=1030.26+-93.14+12.96

=950.08

b

Zero coupon bond

New bond price at YTM =6.25

                 K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

                  k=1

                 K =10

Bond Price =∑ [(0*1000/100)/(1 + 6.25/100)^k]     +   1000/(1 + 6.25/100)^10

                  k=1

Bond Price = 545.39

New bond price at YTM =6.25 using duration

Mod.duration prediction = -Mod. Duration*Yield_Change*Bond_Price

=-9.06*-0.01*496.62

=44.993772

New bond price at YTM =6.25 using duration and convexity

Convexity adjustment = 0.5*convexity*Yield_Change^2*Bond_Price

=0.5*157.5*-0.01^2*496.62

=3.9108825

New bond price = bond price+Mod.duration pred.+convex. Adj.

=496.62+44.99+-3.91

=545.52

Coupon bond

New bond price at YTM =6.25

                 K = N

Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N

                  k=1

                 K =30

Bond Price =∑ [(7.5*1000/100)/(1 + 6.25/100)^k]     +   1000/(1 + 6.25/100)^30

                  k=1

Bond Price = 1167.55

Mod.duration prediction = -Mod. Duration*Yield_Change*Bond_Price

=-9.04*-0.01*1030.26

=93.135504

New bond price at YTM =6.25 using duration and convexity

Convexity adjustment = 0.5*convexity*Yield_Change^2*Bond_Price

=0.5*251.6*-0.01^2*1030.26

=12.9606708

New bond price = bond price+Mod.duration pred.+convex. Adj.

=1030.26+93.14+-12.96

=1136.36

You might be interested in
Tyler is a recent college graduate that has a large private student loan debt. He is
inn [45]

Answer: Term Policy

Explanation:

4 0
3 years ago
Read 2 more answers
Presented below is the 2021 income statement and comparative balance sheet information for Tiger Enterprises. TIGER ENTERPRISES
Strike441 [17]

Answer:

Net Income                              $

Income before income taxes 3,860

Income tax expense                <u>1,544</u>

Net income                              <u> 2,316</u>

<u />

Explanation:

Net income is calculated as income before income taxes minus income tax expense.

8 0
3 years ago
Sales and purchase-related transactions using perpetual inventory system The following were selected from among the transactions
ioda

Answer:

July 3. Purchased merchandise on account from Hamling Co., list price $85,000, trade discount 25%, terms FOB shipping point, 2/10, n/30, with prepaid freight of $960 added to the invoice.

Dr Merchandise inventory 63,435

    Cr Accounts payable 63,435

July 5. Purchased merchandise on account from Kester Co., $47,550, terms FOB destination, 2/10, n/30.

Dr Merchandise inventory 46,599

    Cr Accounts payable 46,599

July 6. Sold merchandise on account to Parsley Co., $16,680, terms n/15. The cost of the goods sold was $9,440.

Dr Accounts receivable 16,680

    Cr Sales revenue 16,680

Dr Cost of goods sold 9,440

    Cr Merchandise inventory 9,440

July 7. Returned merchandise with an invoice amount of $13,500 purchased on July 5 from Kester Co.

Dr Accounts payable 13,230

    Cr Merchandise inventory 13,230

July 13. Paid Hamling Co. on account for purchase of July 3.

Dr Accounts payable 63,435

    Cr Cash 63,435

July 15. Paid Kester Co. on account for purchase of July 5, less return of July 7.

Dr Accounts payable 33,369

    Cr Cash 33,369

July 21. Received cash on account from sale of July 6 to Parsley Co.

Dr Cash 16,680

    Cr Accounts receivable 16,680

July 21. Sold merchandise on MasterCard, $212,670. The cost of the goods sold was $144,350.

Dr Cash (assuming MasterCard pays immediately) 212,670

    Cr Sales revenue 212,670

Dr MasterCard fee expense 3,510

    Cr MasterCard fee payable 3,510

Dr Cost of goods sold 144,350

    Cr Merchandise inventory 144,350

I recorded the transaction this way because on July 31, a payment to MasterCard is recorded. Generally the transaction should have been recorded differently since MasterCard withholds its fee automatically, you do not pay it.

Dr Cash (assuming MasterCard pays immediately) 209,160

Dr MasterCard fee expense 3,510

    Cr Sales revenue 212,670

 

July 22. Sold merchandise on account to Tabor Co., $60,200, terms 2/10, n/30. The cost of the goods sold was $33,820.

Dr Accounts receivable 58,996

    Cr Sales revenue 58,996

Dr Cost of goods sold 33,820

    Cr Merchandise inventory 33,820

July 23. Sold merchandise for cash, $38,610. The cost of the goods sold was $22,180.

Dr Cash 38,610

    Cr Sales revenue 38,610

Dr Cost of goods sold 22,180

    Cr Merchandise inventory 22,180

July 28. Paid Parsley Co. a cash refund of $6,070 for returned merchandise from sale of July 6.  The cost of the returned merchandise was $3,630.

Dr Sales revenue 6,070

    Cr Cash 6,070

Dr Merchandise inventory 3,630

    Cr Cost of goods sold 3,630

July 31.  Paid MasterCard service fee of $3,510.

Dr MasterCard fee payable 3,510

    Cr Cash 3,510

7 0
3 years ago
The Bombay Company, Inc., sold a line of home furnishings that included furniture, wall decor, and decorative accessories. Bomba
tatyana61 [14]

The guidance of the income assertion for the 12 months ended December 31 is $22,000.

income $94,000

value of products bought

Beginning end items inventory $20,000

add: a fee of goods synthetic $ forty-one,000

a fee of goods available for sale $ sixty-one,000

less: ending end goods inventory -$17,000

price of goods sold $ forty-four,000

Gross margin $50,000

much less: running expenses

popular and advertising expenses $15,000

general running fees $28,000

working earnings of $22,000

extra approximately the earnings statement right.

Monetary statement assertions are an employer's reputable announcement that the figures the agency is reporting are accurate. Assertions are made to attest to the authenticity of facts on balance sheets, profits statements, and cash flow statements.

Learn more about income assertion here:

brainly.com/question/14727142

#SPJ4

8 0
2 years ago
Which budgetary category changed the most between your old budget and your new budget? Why?
Sunny_sXe [5.5K]

Answer:

The net savings changed the most, and this is because of the extra money coming in via total income. An extra $290.00 was added to the category.

Explanation:

7 0
2 years ago
Other questions:
  • Holden is a people person. He is very good at working with customers and keeping a positive attitude. He has taken a couple clas
    9·1 answer
  • The money being made in a company.<br> A)Obsolesce <br> B)Solvency <br> C)Revenue <br> D)Debt
    11·1 answer
  • Sonia goes to have her hair trimmed and agrees to pay $40 to the stylist. while there, sonia decides that she would also like hi
    11·1 answer
  • You purchased 3,000 shares of the New Fund at a price of $25 per share at the beginning of the year. You paid a front-end load o
    12·1 answer
  • The Joint Task Force (JTF) commander cannot dictate cooperation among other governmental agencies, intergovernmental organizatio
    9·1 answer
  • Limited liability is a major advantage of a partnership as compared to a corporation. True or False
    14·1 answer
  • Within a team, individuals tend to assume either a ______ role based on the expectations of the team, the organization, or thems
    7·1 answer
  • Required information
    15·1 answer
  • Hane Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products: Activit
    7·1 answer
  • Suppose the demand for roses increases from 500 to 600 stems when income rises from $10,000 to $20,000. Income elasticity for ro
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!