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13: Buying and Selling Bonds
V: Bonds 13: Buying and Selling Bonds
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Buying and Selling Bonds
Treasury Notes & Bonds Settlement T+1 Actual Corporate Bonds Settlement T+3 360 What do we do with the other 5 (or 6) days in the year?
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Treasury Notes & Bonds © Oltheten & Waspi 2012
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Treasury Notes & Bonds Buy $1,000,000 T-Note maturing August 15, 2017.
Settlement is T+1 The note is purchased June 12 for settlement June 13, 2016. The price is quoted at 98.75 Priced to actual days (365 or 366)
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Pricing 2016 is a leap year Feb 15, 2016 Aug 15, 2016 Feb 15, 2017
$30,000 $30,000 $30,000 $1,030,000 119 days 63 days June 13, 1 semi-annual period =182 days 2016 is a leap year © Oltheten & Waspi 2012
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Pricing Seller owns the bond for 119 days
Buyer owns the bond for 63 days © Oltheten & Waspi 2012
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Pricing – Accrued Interest
The seller’s share is paid at the time of purchase Bond Price Base Price: $987,500.00 Accrued Interest: $19,615.38 Invoice Price: $1,007,115.38
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Accounting June 13, 2016 [Buy $1m 6% 8/15/13 bond] Investments
987,500.00 Interest receivable 19,615.38 Cash 1,007,115.38 © Oltheten & Waspi 2012
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Pricing 63 days Aug 15, 2016 $30,000 June 13, 2016 $10,384.62
I already paid the seller his share so I get to keep the entire $30,000. $30,000 $10,384.62 $19,615.38 $30,000.00 June 13, 2016 -$987,500.00 -$19,615.38 -$1,007,115.38 © Oltheten & Waspi 2012
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Pricing 63 days Aug 15, 2016 Feb 15, 2017 Aug 15, 2017 $30,000 $30,000
$1,030,000 63 days June 13, 2016 © Oltheten & Waspi 2012
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Accounting June 13, 2016 [Buy $1m 6% 8/15/13 bond] Investments
987,500.00 Interest receivable 19,615.38 Cash 1,007,115.38 August 15, 2016 [Coupon Payment on $1m 6% 8/15/13 bond] 30,000.00 Interest earned 10,384.62 © Oltheten & Waspi 2012
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Yield to Maturity Accrued Interest affects the Yield calculations
Duration (which we do in chapter 15)
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Yield to Maturity Aug 15, 2016 Feb 15, 2017 $30,000 $30,000 X This can't be right: the calculation takes the $30,000 back to Feb 15, 2016 June 13, 2016 Feb 15, 2016 © Oltheten & Waspi 2012
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Yield to Maturity 63 182 1 semi-annual period 1 semi-annual period
Aug 15, 2016 Feb 15, 2017 Aug 15, 2017 $30,000 $30,000 $1,030,000 June 13, 2016 63 182 1 semi-annual period 1 semi-annual period © Oltheten & Waspi 2012
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Yield to Maturity © Oltheten & Waspi 2012
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Calculator Techniques
Calculate Price /Yield Calculate number of days Financial Markets … and the instruments that Trade in them
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Calculator Techniques
SDT = CPN = 6 (%) RDT = RV = 100 (%) ACT 2/Y PRI = (%) [CPT] YLD = AI = © Oltheten & Waspi 2012
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Calculator Techniques
[2nd] [DATE] DT1 = DT2 = DBD = ACT [CPT] DBD = Including February 29 © Oltheten & Waspi 2012
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Corporate Bonds © Oltheten & Waspi 2012
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Pricing Buy $1,000,000 Discovery Café bond maturing August 15, 2017.
Settlement is T+3 The note is purchased June 10 for settlement June 13, 2016. The price is quoted at 98.75 Priced to 360 days in a year
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Pricing Feb 15, 2016 Aug 15, 2016 Feb 15, 2017 Aug 15, 2017 $1,030,000
$30,000 $30,000 $30,000 118 days 62 days June 13 to August 15 = (30-13) = 62 June 13, Feb 15 to June 13 = (30-15) = 118 1 semi-annual period =180 days © Oltheten & Waspi 2012
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Pricing Seller owns the bond for 118 days
Buyer owns the bond for 62 days © Oltheten & Waspi 2012
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Pricing – Accrued Interest
The seller’s share is paid at the time of purchase Bond Price Corporate Treasury Base Price: $987,500.00 Accrued Interest: $19,666.67 $19,615.38 Invoice Price: $1,007,166.67 $1,007,115.38 $51.29
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Yield to Maturity . 62 . 180 1 semi-annual period 1 semi-annual period
Aug 15, 2016 Feb 15, 2017 Aug 15, 2017 $30,000 $30,000 $1,030,000 June 13, 2016 1 semi-annual period 1 semi-annual period © Oltheten & Waspi 2012
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360 Day Pricing If there are 360 days in the year
We count February 29 and but not January 31 What do we do when the settlement date is October 31?
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Corporate Bond Accrual Rules
1] If (coupon pays at the end of the month and the last coupon date is Feb 28 or 29) then use Feb 30 2] If (the settlement date is the 31st and the last coupon date is 30th or 31st ) then settlement date is the 30th 3] If (the last coupon date is the 31st ) then the last coupon is the 30th ISDA (f) © Oltheten & Waspi 2012
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Example Huron Industries 8% Aug 31, priced to yield 3% July 31, 2016. 1] Last coupon date = February 30, 2016 2] Settlement date = July 30, 2016 3] #N/A Feb 30, 2016 Jul 30, 2016 Aug 31, 2016 © Oltheten & Waspi 2012
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EXCEL Excel functions COUPNCD PRICE () COUPNUM YIELD () DURATION ()
(next coupon date) COUPNUM (number of coupons remaining COUPDAYSBS (days from the last coupon date to settlement) COUPDAYSNC (days from settlement to next coupon) COUPDAYS (days in the coupon period) © Oltheten & Waspi 2012
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EXCEL Excel Codes 0 (default) 30/360 American Corporate Bonds 1
actual/actual US Treasuries 2 actual/360 3 actual/365 4 European Corporate Bonds
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Financial Modeling 13-1 © Oltheten & Waspi 2012
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Financial Modeling 13-1 © Oltheten & Waspi 2012
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