Calculate the price duration and convexity of the bond

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Reference no: EM131067214

SECTION I - BOND ANALYSIS

Question 1- Given the following data, calculate the YTM, YTC for year 3:

Settlement Date=

5/11/2011

Maturity Date=

5/11/2021

Coupon Rate=

7.000%

Current Market Price=

96.00

Redemption value at Maturity %=

100

Coupon Pmts per year=

2

 

Call Provision

Year

Call Price

Dates

Year 1 =

105

5/11/2012

Year 2 =

104

5/11/2013

Year 3 =

103

5/11/2014

Year 4 =

102

5/11/2015

Year 5 =

101

5/11/2016

Question 2- Given the following data, calculate the Price, Duration and Convexity of the Bond:

Face Value =

      1,000

Coupon Rate=

8.000%

Discount Rate=

11.500%

Remaining Years to Maturity=

3

Redemption Price =

100

Redemption=

2

SECTION II - EQUITY ANALYSIS 

Question 3- Prepare a DCF Analysis given the following assumptions:

Operating Assumptions (for years 1-5)

Revenue Growth

5.0%

Cost of Revenue as % of Revenue

60.0%

Oper. Expense as % of Revenue

10.0%

Depreciation Expense as % of Revenue

4.0%

Tax Rate

36.0%

Working Capital Expense

1.0%

Capex as % of Revenue

5.0%

SECTION III - OPTION ANALYSIS

Question 4- Calculate the Value of the Call Option using the Black Scholes Model and then the value of the Put Option using the Put Call Parity method

INPUT - CALL OPTION

Standard Deviation  (σ) =

0.3

Expiration (in years)  (T) =

1

Risk-Free Rate (Annual) (i) =

3.50%

Stock Price (S ) =

105

Exercise Price (X) =

110

Dividend Yield (annual) (δ) =

0

 

INPUT - PUT OPTION

 

Call Option Value

0.000

Expiration (in years)  (T) =

1

Risk-Free Rate (Annual) (i) =

3.50%

Stock Price (S ) =

105

Exercise Price (X) =

110

 

 

Question 5- Calculate the Hedge Ratio and Value of the Option using the Bionomial Option Model applying the Hedge Ratio method (Not the Leverage or Borowing method)                            

Parameters

Current Stock Price

Increase / Decrease Factors (f)
(u and d)

Stock
 x
factor

Call Option Payoff if Exercised

Current Price=

 $        140.00

 

 

 

Up factor (u) =

 

1.25x

 

 

Down factor (d) =

 

0.85x

 

 

Range =

 

 

 

 

SECTION IV - FINANCIAL ANALYSIS

Question 6- Prepare the Cash Flow Statement and Ratio Analysis

Balance Sheet (000's)

 

 

Income Statement (000's)

 

 

2009

2010

 

2009

2010

Current Assets

 

 

Revenues by Geography

 

 

 Cash

         67,500

           86,100

  U.S.

       1,200,000

    1,400,000

 Accounts Receivable

         67,500

           87,000

  Europe

         180,000

       210,000

 Inventories

         52,500

           65,000

  Asia

           60,000

         75,000

 Prepaid Expenses

         15,000

           13,000

Total Revenue

       1,440,000

    1,685,000

Total Current Assets

        202,500

         251,100

 

 

 

 

 

 

Cost of Revenues by Geography

 

Property and Equipment

 

 

  U.S.

         330,000

       405,000

 Land

     3,750,000

       3,750,000

  Europe

         150,000

       172,500

 Building

        675,000

         800,000

  Asia

           37,500

         52,500

 Furniture & Equipment

         75,000

         100,000

Total Cost of Revenue

         517,500

       630,000

Total Gross P&E

     4,500,000

       4,650,000

 

 

 

Less Accumulated Depreciaition

       (450,000)

        (550,000)

Gross Profit

         922,500

    1,055,000

Net P&E

     4,050,000

       4,100,000

 

 

 

 

 

 

Operating Expenses

 

 

Long-Term Investments

        300,000

         400,000

 Administrative & General

         217,500

       247,500

 

 

 

 Marketing Expenses

         112,500

       120,000

Total Assets

     4,552,500

       4,751,100

 Other Operating Expenses

           15,000

         18,000

 

 

 

Total Operating Expenses

         345,000

       385,500

Liabilities and Owners Equity

 

 

 

 

 

 

 

 

EBITDA

         577,500

       669,500

Current Liabilities

 

 

 

 

 

 Accounts Payable

         52,500

           65,000

Depreciation

           90,000

       100,000

 Accrued Income Taxes

         18,000

           15,000

 

 

 

 Accrued Expenses

         15,000

           10,000

EBIT

         487,500

       569,500

 Current Portion of Long Term Debt

         30,000

           30,000

 

 

 

Total Current Liabilities

        115,500

         120,000

Interest Expense

         144,000

       136,000

 

 

 

 

 

 

Long-Term Debt:

     1,800,000

       1,700,000

EBT

         343,500

       433,500

 

 

 

 

 

 

Deferred Income Taxes

         18,000

           22,000

Taxes

         137,400

       173,400

 

 

 

 

 

 

Total Liabilties

     1,933,500

       1,842,000

Net Income

         206,100

       260,100

 

 

 

 

 

 

Owners' Equity

 

 

 

 

 

 Common Stock

     1,500,000

       1,500,000

 

 

 

 Paid-in-Capital

                  -

           30,000

 

 

 

 Retained Earnings

     1,119,000

       1,379,100

 

 

 

Total Owners' Equity

     2,619,000

       2,909,100

 

 

 

 

 

 

 

 

 

Total Liabilities & Owner's Equity

     4,552,500

       4,751,100

 

 

 

Attachment:- Exam.rar

Reference no: EM131067214

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