### A Pluto.jl notebook ###
# v0.19.8

using Markdown
using InteractiveUtils

# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
    quote
        local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
        local el = $(esc(element))
        global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
        el
    end
end

# ╔═╡ 2efa05e7-b130-4a95-9eab-d8bb9d16a29b
# ╠═╡ show_logs = false
begin
	using Logging
	global_logger(NullLogger())
	display("")
end

# ╔═╡ c3e429e4-e7e9-4db6-852c-906630f909a4
# ╠═╡ show_logs = false
#Set-up packages
begin
	
	using DataFrames, HTTP, CSV, Dates, Plots, PlutoUI, Printf, LaTeXStrings, HypertextLiteral, XLSX
	
	gr();
	Plots.GRBackend()


	#Define html elements
	nbsp = html"&nbsp" #non-breaking space
	vspace = html"""<div style="margin-bottom:0.05cm;"></div>"""
	br = html"<br>"

	#Sets the width of cells, caps the cell width by 90% of screen width
	#(setting overwritten by cell below)
	# @bind screenWidth @htl("""
	# 	<div>
	# 	<script>
	# 		var div = currentScript.parentElement
	# 		div.value = screen.width
	# 	</script>
	# 	</div>
	# """)

	
	# cellWidth= min(1000, screenWidth*0.9)
	# @htl("""
	# 	<style>
	# 		pluto-notebook {
	# 			margin: auto;
	# 			width: $(cellWidth)px;
	# 		}
	# 	</style>
	# """)
	

	#Sets the width of the cells
	#begin
	#	html"""<style>
	#	main {
	#		max-width: 900px;
	#	}
	#	"""
	#end


	#Sets the height of displayed tables
	html"""<style>
		pluto-output.scroll_y {
			max-height: 550px; /* changed this from 400 to 550 */
		}
		"""
	

	#Two-column cell
	struct TwoColumn{A, B}
		left::A
		right::B
	end
	
	function Base.show(io, mime::MIME"text/html", tc::TwoColumn)
		write(io,
			"""
			<div style="display: flex;">
				<div style="flex: 50%;">
			""")
		show(io, mime, tc.left)
		write(io,
			"""
				</div>
				<div style="flex: 50%;">
			""")
		show(io, mime, tc.right)
		write(io,
			"""
				</div>
			</div>
		""")
	end

	#Creates a foldable cell
	struct Foldable{C}
		title::String
		content::C
	end
	
	function Base.show(io, mime::MIME"text/html", fld::Foldable)
		write(io,"<details><summary>$(fld.title)</summary><p>")
		show(io, mime, fld.content)
		write(io,"</p></details>")
	end
	
	
	#helper functions
	#round to digits, e.g. 6 digits then prec=1e-6
	roundmult(val, prec) = (inv_prec = 1 / prec; round(val * inv_prec) / inv_prec); 

	display("")
end

# ╔═╡ 41d7b190-2a14-11ec-2469-7977eac40f12
#add button to trigger presentation mode
html"<button onclick='present()'>present</button>"

# ╔═╡ a5de5746-3df0-45b4-a62c-3daf36f015a5
begin 
	html"""
	<p align=left style="font-size:25px; font-family:family:Georgia"> <b> UD/ISCTE-IUL Trading and Bloomberg Program</b> <p>
	"""
end



# ╔═╡ 8fb7775c-5c42-4598-8e97-f71ea2a4f59c
begin 
	html"""
	<p style="padding-bottom:1cm"> </p>
	<div align=center style="font-size:25px; font-family:family:Georgia">Fixed Income Securities </div>
	<p style="padding-bottom:1cm"> </p>
	<p align=center style="font-size:25px; font-family:family:Georgia"> <b> U.S. Treasury Securities Market Conventions</b> <p>
	<p style="padding-bottom:1cm"> </p>
	<p align=center style="font-size:25px; font-family:family:Georgia"> Summer 2022 <p>
	<p style="padding-bottom:1cm"> </p>
	<div align=center style="font-size:20px; font-family:family:Georgia"> Prof. Matt Fleckenstein </div>
	<p style="padding-bottom:0.0cm"> </p>
	<div align=center style="font-size:20px; font-family:family:Georgia"> University of Delaware, 
	Lerner College of Business and Economics </div>
	<p style="padding-bottom:0.5cm"> </p>
	"""
end

# ╔═╡ 3e995602-7a5e-45ce-a31d-449951af1aea
TableOfContents(aside=true, depth=1)

# ╔═╡ 6498b10d-bece-42bf-a32b-631224857753
md"""
# Overview
"""

# ╔═╡ 95db374b-b10d-4877-a38d-1d0ac45877c4
begin
	html"""
	<fieldset>      
        <legend>Our goals for today</legend>      
		<br>
        <input type="checkbox" value="">Overview of Treasury Securities Price Quoting Conventions.<br><br>
	</fieldset>      
	"""
end

# ╔═╡ 5b0395a0-4287-41bf-8e06-d7080f996b58
md"""
##
"""

# ╔═╡ 93db6880-429c-4b9c-a807-eba600e03df1
md"""
# Price Quotes of for Treasury Notes/Bonds
"""

# ╔═╡ 1fa89db5-8185-4c32-81ad-4cc7e4ec44c4
md"""
## Example: 5-year Treasury Note in Bloomberg
- On the Bloomberg Terminal type `91282CCZ2` and click on the security in the search result. 
- Next, type `DES` and `Enter`.
"""

# ╔═╡ aac27a3c-e90a-437f-a563-f81d41c8d3f7
# ╠═╡ show_logs = false
LocalResource("./Assets/TreasuryNoteDescrExampleBloomberg.png",:width => 1200) 

# ╔═╡ 1d267c4d-5687-47a7-8b86-7b147b1c066b
md"""
##
"""

# ╔═╡ 39af52c6-ddb1-41ec-be5c-c0e31a2693bb
md"""
## Price Quotes for 5-year Treasury Note
- On the Bloomberg Terminal click on `ALLQ` under _Quick Links_
"""

# ╔═╡ 6561b7a0-368c-43c6-ada9-36b83dc4a749
# ╠═╡ show_logs = false
LocalResource("./Assets/TreasuryNotePriceQuoteBloomberg.png",:width => 1200) 

# ╔═╡ 15cb9e60-6e54-4f0e-abb2-9249bdc49677
md"""
>- How to get there on the Bloomberg terminal?
>  - On the keyboard type `T Govt`
>  - Click on `United States Treasury Note/Bond (Multiple Matches) Govt`
>  - On the next page, click on one of the Treasury notes/bonds.
>  - Next, type `DES` on the keyboard and press enter.
>  - The page you now see is the `Description` page for the Treasury you selected.
>  - Next, type `ALLQ` and press enter.
>  - This will display a page with quoted prices for the Treasury note/bond you selected.
"""

# ╔═╡ c986f826-bb10-4bb7-ba83-03679bb59855
md"""
##
"""

# ╔═╡ 30ce6f74-1d7e-465d-abf1-245881fec53b
md"""
## Price Quotes for Treasury Coupon Securities
- Expressed as a percent of face value (often called “points”) and numbers after the hyphens denote 32nds (often called “ticks”).
"""

# ╔═╡ 5bfbddd7-c014-45c1-871d-ae41d5c02c82
md"""
##
"""

# ╔═╡ 4ad79093-2e8b-4fd7-bc1d-87388947ffde
md"""
- Points: $(@bind p1 Slider(90:1:120, default=98, show_value=true))
- 32nd: $(@bind p2 Slider(10:1:31, default=26, show_value=true))
"""

# ╔═╡ 395335f3-3f6c-4fbc-bf0b-9a238c8b6864
Markdown.parse("
**Example**:
- Suppose the price of a Treasury note is quoted as **$(p1)**-**$(p2)**.
- For \$100 par value, the quoted price of **$(p1)**-**$(p2)** refers to a dollar price of $p1 dollars plus $p2 ``32^{\\textrm{nd}}`` of a dollar.
- In short, the price is calculated as 
	
\$$p1 + \\frac{$p2}{32} = $(p1+p2/32.0)\$	
 
- This means that the price per \$ 100 par value is \$$(p1+p2/32.0).
")

# ╔═╡ 46566086-d518-49d9-b173-f66f2ea0e131
md"""
The 32nd are themselves often split by the addition of a **plus** sign or a **third** digit. 
- ``+`` sign means 1/64$^{\textrm{th}}$
- A _third_ digit means that this third digit is multiplied by 1/256.
"""

# ╔═╡ 4d4f241f-83c4-4a78-87e9-6ecfde56b860
md"""
##
"""

# ╔═╡ f01f940c-233c-4b90-882b-bd9d33c6b841
md"""
- Points: $(@bind p3 Slider(90:1:120, default=98, show_value=true))
- 32$^{\textrm{nd}}$: $(@bind p4 Slider(10:1:31, default=25, show_value=true))
"""

# ╔═╡ 2d37c722-c5bb-4462-a48d-f9374bed4449
Markdown.parse("
**Example**:
- Suppose the price of a Treasury note is quoted as **$(p3)**-**$(p4)+**.
- For \$100 par value, the quoted price of **$(p3)**-**$(p4)+** refers to a dollar price of $p3 dollars plus $p4 ``32^{\\textrm{nd}}`` plus 1 ``64^{\\textrm{th}}``of a dollar.
- In short, the price is calculated as 
	
\$$p3 + \\frac{$p4}{32} + \\frac{1}{64}= $(p3+p4/32.0+1/64.0)\$	
 
- This means that the price per \$ 100 par value is \$$(p3+p4/32.0+1/64.0)\$.
")

# ╔═╡ b541d16f-59da-48dd-b7f6-a0cebd451256
md"""
##
"""

# ╔═╡ b294a20b-8710-49bb-a069-75dbc3f19ba6
md"""
- Points: $(@bind p5 Slider(90:1:120, default=98, show_value=true))
- 32$^{\textrm{nd}}$: $(@bind p6 Slider(10:1:31, default=25, show_value=true))
- 256$^{\textrm{th}}$: $(@bind p7 Slider(1:1:9, default=2, show_value=true))
"""

# ╔═╡ 64adcfde-8ade-4778-bb01-9d46ee836a55
Markdown.parse("
**Example**:
- Suppose the price of a Treasury note is quoted as **$(p5)**-**$(p6)$(p7)**.
- For \$100 par value, the quoted price of **$(p5)**-**$(p6)$(p7)** refers to a dollar price of $p5 dollars plus $p6 ``32^{\\textrm{nd}}`` plus $(p7) ``256^{\\textrm{th}}``of a dollar.
- In short, the price is calculated as 
	
\$$p5 + \\frac{$p6}{32} + \\frac{$p7}{256}= $(p5+p6/32.0+p7/256.0)\$	
 
- This means that the price per \$ 100 par value is \$$(p5+p6/32.0+p7/256.0)\$.
")

# ╔═╡ c3f25830-c6d2-4d77-bbd6-91024ee3363b
md"""
##
"""

# ╔═╡ f72ab26d-f986-4ab3-9f15-11cb33b65c69
md"""
- Points: $(@bind p11 Slider(90:1:120, default=98, show_value=true))
- 32$^{\textrm{nd}}$: $(@bind p12 Slider(10:1:31, default=25, show_value=true))
- Quarters of a 32$^{\textrm{nd}}$: $(@bind p13 Slider(1:1:3, default=1, show_value=true))
"""

# ╔═╡ e68723a6-a1d8-4a3f-8ba0-9acab5d764db
Markdown.parse("
**Example**:
- Often, trading system such as Bloomberg display _fractions_ after the ``32^{\\textrm{nd}}``.
- Suppose the price of a Treasury note is quoted as ``\\mathbf{$p11 - $p12 \\frac{$p13}{4}}``.
- For \$100 par value, the quoted price of ``\\mathbf{$p11 - $p12 \\frac{$p13}{4}}`` refers to a dollar price of $p11 dollars plus ``($p12 + \\frac{$p13}{4})`` ``32^{\\textrm{nd}}`` of a dollar.
- In short, the price is calculated as 
	
\$$p11 + \\frac{$p12+\\frac{$p13}{4}}{32} = $(p11+(p12+0.25*p13)/32.0)\$	
 
- This means that the price per \$ 100 par value is \$$(p11+(p12+0.25*p13)/32.0)\$.
")

# ╔═╡ bbf515d0-e8a2-4391-8e86-41e814e3240a
md"""
##
"""

# ╔═╡ b5ed2793-df92-4f41-97e9-7533b35db4c0
md"""
- Points: $(@bind p14 Slider(90:1:120, default=98, show_value=true))
- 32$^{\textrm{nd}}$: $(@bind p15 Slider(10:1:31, default=25, show_value=true))
- Eights of a 32$^{\textrm{nd}}$: $(@bind p16 Slider(1:1:7, default=1, show_value=true))
"""

# ╔═╡ b65c747b-f08a-408d-8e01-e921dcbd9056
Markdown.parse("
**Example**:
- One last example. Suppose the price of a Treasury note is quoted as ``\\mathbf{$p14 - $p15 \\frac{$p16}{8}}``.
- For \$100 par value, the quoted price of ``\\mathbf{$p14 - $p15 \\frac{$p16}{8}}`` refers to a dollar price of $p14 dollars plus ``($p15 + \\frac{$p16}{8})`` ``32^{\\textrm{nd}}`` of a dollar.
- In short, the price is calculated as 
	
\$$p14 + \\frac{$p15+\\frac{$p16}{8}}{32} = $(p14+(p15+1/8*p16)/32.0)\$	
 
- This means that the price per \$ 100 par value is \$$(p14+(p15+1/8*p16)/32.0)\$.
")

# ╔═╡ 2200d50b-f23f-4764-85e1-d908b5aeeb1e
md"""
##
"""

# ╔═╡ 4576f508-91bd-4fdc-a62d-833d8428f78f
md"""
## Practice Exercise
For each quoted price shown below, enter the price per \$100 par value in decimals.
"""

# ╔═╡ 6c57bd92-7d1d-41d3-88d5-0b2c191b7693
# ╠═╡ show_logs = false
begin
	p161=100
	p162=27
	
	p171=108
	p172=31
		
	p181=102
	p182=12
	p183=3
	
	p191=102
	p192=18
	p193=1
	display("")
end

# ╔═╡ 9a1aa162-d274-4af7-8f13-5a9d6bab98b0
Markdown.parse("""
- Quoted Price: ``$p161 - $p162`` 
""")

# ╔═╡ 4bccc40c-953a-4969-b47b-aea4b234919b
Markdown.parse("""
!!! hint
    Price in Decimals: ``$(p161+p162/32)``
""")

# ╔═╡ 176d61b1-02d9-4da6-a893-72aca3541f2c
md"""
##
"""

# ╔═╡ 729198d1-5795-4b70-85f8-f25717edc244
Markdown.parse("""
- Quoted Price: ``$p171 - $p172 +`` 
""")

# ╔═╡ 301c4a13-814e-4853-aa5b-aac611cc40f0
Markdown.parse("""
!!! hint
    Price in Decimals: ``$(p171+p172/32+1/64)``
""")

# ╔═╡ feb4fbca-0a01-445a-b4e1-d50b3f3525a3
md"""
##
"""

# ╔═╡ 9aa0dec2-c1e1-41c5-9ad5-35b51e41128a
Markdown.parse("""
- Quoted Price: ``$p181 - $p182 \\frac{$p183}{4}`` 
""")

# ╔═╡ 3a2a5dea-4a07-4368-89c9-cde995b9964b
Markdown.parse("""
!!! hint
    Price in Decimals: ``$(p181+(p182+p183/4)/32)``
""")

# ╔═╡ d79b4d61-8211-4fca-a83c-46db3959d51e
md"""
##
"""

# ╔═╡ a4670db5-20e5-41cd-a2af-8dd15ce119f6
Markdown.parse("""
- Quoted Price: ``$p191 - $p192 \\frac{$p193}{8}`` 
""")

# ╔═╡ 16d95a82-743e-478c-a50d-36e800910883
Markdown.parse("""
!!! hint
    Price in Decimals: ``$(p191+(p192+p193/8)/32)``
""")

# ╔═╡ be1e2ae2-8b05-42c7-bc54-18c9ff111854
md"""
# Accrued Interest
"""

# ╔═╡ 8464e17a-2f95-4bde-8c37-502359bb2dd8
# ╠═╡ show_logs = false
LocalResource("./Assets/TreasuryNoteDescrExampleBloomberg_2.png",:width => 1200) 

# ╔═╡ 59023ef2-e4fb-4e41-9652-67f6a107e1b1
md"""
##
"""

# ╔═╡ a7c9120b-ee24-48c2-904a-e40ef95fcffa
# ╠═╡ show_logs = false
LocalResource("./Assets/TreasuryNoteDescrExampleBloombergDirtyPrice_2.png",:width => 1200) 

# ╔═╡ 148712ae-b638-45de-9ab1-96492f083439
md"""
##
"""

# ╔═╡ 8f9498b5-a1cf-4be7-b0dd-41aad76c959b
md"""
- U.S. Treasury securities pay coupon interest every six months.
- At any date between two coupon payments, we must take the **accrued interest** into account.
- The convention in the Treasury market is that _in addition to_ the **quoted price**, the bond buyer must _pay_ the bond seller the **accrued interest**.
- Thus, the amount that the buyer pays the seller is the **quoted price** plus **accrued interest**.
  - This is the actual purchase price and it is called the **dirty price.**
  - The **quoted price** of a bond (_without accrued interest_) is called the **clean price.**
- The **clean price** is also called the **flat** price and the **dirty price** is also called the **full** price.
"""

# ╔═╡ 6ce18679-b433-4110-8ef4-0fd9135737f4
md"""
> - How to get there on the Bloomberg terminal?
>   - On the keyboard type `T Govt`
>   - Click on `United States Treasury Note/Bond (Multiple Matches) Govt`
>   - On the next page, click on one of the Treasury notes/bonds.
>   - Next, type `DES` on the keyboard and press enter.
>   - The page you now see is the `Description` page for the Treasury you selected.
>   - Next, type `HP` and press enter.
>   - This will display a page with past prices for the Treasury note/bond you selected.
>   - Next, at the top, in the row labeled `Market` type in __Mid Line__ in the first field and __Dirty Mid Price__ in the second field. Press enter.
>   - The price table will now show the *clean* mid price and the *dirty* mid price.
>     - Recall that the *mid* price is the midpoint between the bid and the ask price.  
"""

# ╔═╡ cf464f2d-a329-42d1-b7ea-a4fb5eba421f
md"""
##
"""

# ╔═╡ cedc6044-5eb2-4e95-98c7-e5831597a258
md"""
## Calculating Accrued Interest for Treasury notes and bonds
"""

# ╔═╡ d43ce5da-dee3-4d44-a202-4f5f4770772b
md"""
- To calculate accrued interest, the following are needed: 
  - the number of days in the accrued interest period (represents the number of days over which the investor has earned interest)
  - the number of days in the coupon period (representes the number of days between the last and the next coupon payment)
  - the dollar amount of the coupon payment
"""

# ╔═╡ a4a0a069-80d6-4a13-a19d-56b200ca8545
md"""
- Accrued Interest is the calculated as
$$\textrm{Accrued Interest} = \textrm{Coupon Interest Cash Flow} \times \left( \frac{ \textrm{Days in Accrued Interest Period}}{\textrm{Days in Coupon Period}} \right)$$
"""

# ╔═╡ b71c4b72-7004-4600-82d4-651179178a03
md"""
## 1. Calculate the **Days in Accrued Interest Period**

- We need three key dates: 
- **Trade date**
  - The trade date (also referred to as the transaction date) is the date on which the transaction is executed (referred to as “T”).
- **Settlement date** 
  - The settlement date is the date a transaction is deemed to be completed and the seller must transfer the ownership of the bond to the buyer in exchange for the payment.
  - Treasury securities settle on the next business day after the trade date. This is referred to as *T+1 Settlement*.
- **Date of previous coupon cash flow**
- Days in Accrued Interest Period are then calculated as

$$\textrm{Days in Accrued Interest Period=}$$ 
$$\textrm{Days from and \textbf{including} the previous coupon date up to \textbf{excluding} the settlement date}$$
"""

# ╔═╡ a5e630a2-4489-4e6f-b3b6-97abef6b1d66
md"""
##
"""

# ╔═╡ fd4aead4-bf25-4125-b094-6edce0e77b1e
md"""
## 2. Calculate the **Days in Coupon Period**
- Simply the number of days between the previous coupon date and the next coupon date.
"""

# ╔═╡ fcaff09a-c014-4fe9-81f8-f0fb72d99829
md"""
## Example
"""

# ╔═╡ 8323c2cc-cc29-416b-aca4-798f7cc844ed
md"""
- Consider a Treasury note whose previous coupon payment was May 15. Assume that the coupon rate is 8% p.a. (paid semi-annually) and par value of \$100.
  - Thus, the coupon interest cash flows are $\frac{8\%}{2}\times 100 =$ \$4
- Suppose you buy Treasury security with a settlement date of September 10.
- Since Treasury notes pay semi-annual coupon interest, the next coupon payment is on November 15. 
"""

# ╔═╡ 9119860b-2ada-411a-95e7-e1e56ae573c0
md"""
##
- **Step 1**: *Days in Accrued Interest Period*
  - We count the actual number of days between May 15 (the previous coupon date) and September 10 (the settlement date). 
    - May: **17** days (we count the day of the previous coupon cash flow)
    - June: 30 days
    - July: 31 days
    - August: 31 days
    - September: **9** days (we do not count the settlement date)
   - Thus, *Days in Accrued Interest Period* = 118
"""

# ╔═╡ 8dc2cccb-a682-4c42-99fe-ccc91d3823d1
md"""
##
- **Step 2**: *Days in Coupon Period*
  - We count the actual number of days between May 15 (the previous coupon date) and Nov 15 (the next coupon date)
    - May: **16 days**
    - June: 30 days
    - July: 31 days
    - September: 30 days
    - October: 31 days
    - November: **15 days**
  - Thus, *Days in Coupon Period*=184
"""

# ╔═╡ c6df152f-9f62-4eb4-997e-afd9a0868c9e
md"""
##
- **Step 3**: *Accrued Interest*
$$\textrm{Accrued Interest} = \textrm{Coupon Interest Cash Flow} \times \left( \frac{ \textrm{Days in Accrued Interest Period}}{\textrm{Days in Coupon Period}} \right)$$
$$\textrm{Accrued Interest} = \textrm{\$4} \times \left( \frac{ \textrm{118}}{\textrm{184}} \right) = \textrm{\$4} \times 0.641304 = \textrm{\$2.565217}$$
"""

# ╔═╡ 41b91a85-ac56-4b36-87e1-b121c756417e
md"""
## Accrued Interest Example 2
"""

# ╔═╡ 4d039efd-c682-4abe-a2a4-8536ed97a3c7
md"""
- Coupon rate [% p.a.]: $(@bind cpnAI_3 Slider(0:0.25:10, default=2.5, show_value=true))
- Par value [\$]: $(@bind par_3 Slider(100:100000, default=100, show_value=true))
- Previous coupon cash flow date: $(@bind prev_3 DateField(default=Date(2015,7,15)))
- Next coupon cash flow date: $(@bind next_3 DateField(default=Date(2016,01,15)))
- Settlement date: $(@bind settle_3 DateField(default=Date(2015,10,10)))
"""

# ╔═╡ 5752193f-de1f-4832-ab93-a0fc8c4d9c4d
begin 
	daysAIPeriod = Date(settle_3) - Date(prev_3)
	daysCpnPeriod = Date(next_3) - Date(prev_3)
	accrInt_3 = Dates.value(daysAIPeriod)/Dates.value(daysCpnPeriod)*cpnAI_3/(200)*
par_3
	md"""
	- Coupon interest cash flow:  $(roundmult(par_3 * (cpnAI_3/200),1e-6))
	- Number of Days in Accrued Interest Period: $(daysAIPeriod)
	- Number of Days in Coupon Period: $(daysCpnPeriod)
	"""
end

# ╔═╡ 7b376a7e-215e-40af-82af-6be2762aa7eb
Markdown.parse("""
``\\begin{align}
\\textrm{Accrued Interest} &= \\textrm{Coupon Interest Cash Flow} \\times \\left( \\frac{ \\textrm{Days in Accrued Interest Period}}{\\textrm{Days in Coupon Period}} \\right)\\\\ 
&= \\\$ $(roundmult(cpnAI_3/(200)*par_3,1e-6)) \\times \\frac{$(Dates.value(daysAIPeriod)) \\textrm{ days}}{$(Dates.value(daysCpnPeriod)) \\textrm{ days}} =\\\$ $(roundmult(accrInt_3,1e-6))
\\end{align}``
""")

# ╔═╡ cd5ece1a-bd73-4652-bd3f-c2a762b04491
md"""
##
"""

# ╔═╡ 70661dd7-0acf-4b6c-b7dd-f4ad71c1cee9
md"""
# Daycount Conventions
- In calculating the number of days between two dates, the actual number of days is **not** always the same as the number of days that should be used in the accrued interest formula.
- The number of days used depends on the **day count convention** for the particular security.
- For Treasury notes/bonds, the day count convention is to use the **actual** number of days between two dates.
  - This is referred to as the **actual/actual** day count convention.
"""

# ╔═╡ 6e1be79b-bfc7-444e-b660-e0d24a2cf5dd
md"""
##
- For coupon-bearing agency, municipal, and corporate bonds, a different day count convention is used.
- It is assumed that every month has **30 days**, that any 6-month period has **180 days**, and that there are **360 days** in a year.
- This day count convention is referred to as **30/360.**
- The calculations are analogous to the examples we covered, except that 30 days are used for each month.
"""

# ╔═╡ e4c4606f-bb51-43c6-98b7-73e1b133b251
md"""
##
- To illustrate the “30/360” convention, suppose the **settlement date** is *July 17* and the *previous coupon cash flow* was on *May 15*.
- The number of days between May 15 and July 17 is 62 days, 
  - May is assumed to have 30 days. Thus we count 16 days in May (remember to include the date of the previous coupon cash flow).
  - The month of June is assumed to have 30 days, so we add 30 days.
  - In July, we count 16 days (remember to exclude the settlement date)
  - So the total number of days is 16 days + 30 days + 16 day = 62 days.
"""

# ╔═╡ 16515e3c-52d3-44a8-88cd-6976aab9ecc7
md"""
##
"""

# ╔═╡ 371a326e-f13b-44ce-91e8-50d43b7ae59a
md"""
# Treasury STRIPS
"""

# ╔═╡ b7bdc144-7648-403f-bce7-2b6df6a8dd2f
md"""
- The Treasury does not issue **zero**-coupon notes or bonds. 
- However, by “stripping” coupon payments from Treasury bonds, zero coupon bonds are created synthetically. 
- The process of separating the interest on a bond from the underlying principal is called coupon stripping.

"""

# ╔═╡ 31c17b01-eb86-4fd4-82cc-3c31cf3020d8
md"""
##
"""

# ╔═╡ fe72e3e8-a2b4-43b2-811d-5f4fe2c8dd7a
# ╠═╡ show_logs = false
LocalResource("./Assets/TreasurySTRIPS_1.png",:width => 1200) 

# ╔═╡ 3222f82c-b513-403b-b4c5-22d89144f894
md"""
##
"""

# ╔═╡ 02748d79-5707-4130-9aae-0c6141e4f760
# ╠═╡ show_logs = false
LocalResource("./Assets/TreasurySTRIPS_2.png",:width => 600) 

# ╔═╡ d01a85dd-1fd5-4b4e-9ff6-6de1f94d1752
md"""
##
"""

# ╔═╡ 1217e6ec-8479-4a85-b0e7-088eee30bc63
md"""
- Zero-coupon Treasury securities were first created in August 1982 by large dealer firms on Wall Street. 
- Today, all Treasury notes and bonds (fixed-principal and inflation-indexed) are eligible for stripping. 
- The zero-coupon Treasury securities created under the STRIPS program are direct obligations of the U.S. government.
- Strips created from the Treasury coupons are called **coupon STRIPS** and those from the principal are called **principal STRIPS**. 
"""

# ╔═╡ 33ac7bdb-ada2-420b-b793-dc51fbc689bb
md"""
##
"""

# ╔═╡ 53c77ef1-899d-47c8-8a30-ea38380d1614
md"""
## Wrap-Up
"""

# ╔═╡ 670e45a3-9d28-47ae-a6b6-a1b1c67a0a4c
begin
	html"""
	<fieldset>      
        <legend>Our goals for today</legend>      
		<br>
        <input type="checkbox" value="" checked>Overview of Treasury Securities Price Quoting Conventions.<br><br>
	</fieldset>      
	"""
end

# ╔═╡ 2ee2c328-5ebe-488e-94a9-2fce2200484c
md"""
## Reading
Fabozzi, Fabozzi, 2021, Bond Markets, Analysis, and Strategies, 10th Edition\
Chapter 7 and Chapter 2
"""

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deps = ["Dates", "EzXML", "Printf", "Tables", "ZipFile"]
git-tree-sha1 = "96d05d01d6657583a22410e3ba416c75c72d6e1d"
uuid = "fdbf4ff8-1666-58a4-91e7-1b58723a45e0"
version = "0.7.8"

[[deps.XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "1acf5bdf07aa0907e0a37d3718bb88d4b687b74a"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.9.12+0"

[[deps.XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.34+0"

[[deps.Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.6.9+4"

[[deps.Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.9+4"

[[deps.Xorg_libXcursor_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
version = "1.2.0+4"

[[deps.Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.3+4"

[[deps.Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.4+4"

[[deps.Xorg_libXfixes_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
version = "5.0.3+4"

[[deps.Xorg_libXi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
version = "1.7.10+4"

[[deps.Xorg_libXinerama_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
version = "1.1.4+4"

[[deps.Xorg_libXrandr_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
version = "1.5.2+4"

[[deps.Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.10+4"

[[deps.Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.0+3"

[[deps.Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.13.0+3"

[[deps.Xorg_libxkbfile_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2"
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
version = "1.1.0+4"

[[deps.Xorg_xcb_util_image_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_keysyms_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_renderutil_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
version = "0.3.9+1"

[[deps.Xorg_xcb_util_wm_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
version = "0.4.1+1"

[[deps.Xorg_xkbcomp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"]
git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b"
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
version = "1.4.2+4"

[[deps.Xorg_xkeyboard_config_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"]
git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d"
uuid = "33bec58e-1273-512f-9401-5d533626f822"
version = "2.27.0+4"

[[deps.Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.4.0+3"

[[deps.ZipFile]]
deps = ["Libdl", "Printf", "Zlib_jll"]
git-tree-sha1 = "3593e69e469d2111389a9bd06bac1f3d730ac6de"
uuid = "a5390f91-8eb1-5f08-bee0-b1d1ffed6cea"
version = "0.9.4"

[[deps.Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"

[[deps.Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "cc4bf3fdde8b7e3e9fa0351bdeedba1cf3b7f6e6"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.0+0"

[[deps.libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.15.1+0"

[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"

[[deps.libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"

[[deps.libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.38+0"

[[deps.libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+1"

[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"

[[deps.p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"

[[deps.x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"

[[deps.x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"

[[deps.xkbcommon_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
git-tree-sha1 = "ece2350174195bb31de1a63bea3a41ae1aa593b6"
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
version = "0.9.1+5"
"""

# ╔═╡ Cell order:
# ╟─2efa05e7-b130-4a95-9eab-d8bb9d16a29b
# ╟─41d7b190-2a14-11ec-2469-7977eac40f12
# ╟─c3e429e4-e7e9-4db6-852c-906630f909a4
# ╟─a5de5746-3df0-45b4-a62c-3daf36f015a5
# ╟─8fb7775c-5c42-4598-8e97-f71ea2a4f59c
# ╟─3e995602-7a5e-45ce-a31d-449951af1aea
# ╟─6498b10d-bece-42bf-a32b-631224857753
# ╟─95db374b-b10d-4877-a38d-1d0ac45877c4
# ╟─5b0395a0-4287-41bf-8e06-d7080f996b58
# ╟─93db6880-429c-4b9c-a807-eba600e03df1
# ╟─1fa89db5-8185-4c32-81ad-4cc7e4ec44c4
# ╟─aac27a3c-e90a-437f-a563-f81d41c8d3f7
# ╟─1d267c4d-5687-47a7-8b86-7b147b1c066b
# ╟─39af52c6-ddb1-41ec-be5c-c0e31a2693bb
# ╟─6561b7a0-368c-43c6-ada9-36b83dc4a749
# ╟─15cb9e60-6e54-4f0e-abb2-9249bdc49677
# ╟─c986f826-bb10-4bb7-ba83-03679bb59855
# ╟─30ce6f74-1d7e-465d-abf1-245881fec53b
# ╟─5bfbddd7-c014-45c1-871d-ae41d5c02c82
# ╟─395335f3-3f6c-4fbc-bf0b-9a238c8b6864
# ╟─4ad79093-2e8b-4fd7-bc1d-87388947ffde
# ╟─46566086-d518-49d9-b173-f66f2ea0e131
# ╟─4d4f241f-83c4-4a78-87e9-6ecfde56b860
# ╟─2d37c722-c5bb-4462-a48d-f9374bed4449
# ╟─f01f940c-233c-4b90-882b-bd9d33c6b841
# ╟─b541d16f-59da-48dd-b7f6-a0cebd451256
# ╟─64adcfde-8ade-4778-bb01-9d46ee836a55
# ╟─b294a20b-8710-49bb-a069-75dbc3f19ba6
# ╟─c3f25830-c6d2-4d77-bbd6-91024ee3363b
# ╟─e68723a6-a1d8-4a3f-8ba0-9acab5d764db
# ╟─f72ab26d-f986-4ab3-9f15-11cb33b65c69
# ╟─bbf515d0-e8a2-4391-8e86-41e814e3240a
# ╟─b65c747b-f08a-408d-8e01-e921dcbd9056
# ╟─b5ed2793-df92-4f41-97e9-7533b35db4c0
# ╟─2200d50b-f23f-4764-85e1-d908b5aeeb1e
# ╟─4576f508-91bd-4fdc-a62d-833d8428f78f
# ╟─6c57bd92-7d1d-41d3-88d5-0b2c191b7693
# ╟─9a1aa162-d274-4af7-8f13-5a9d6bab98b0
# ╟─4bccc40c-953a-4969-b47b-aea4b234919b
# ╟─176d61b1-02d9-4da6-a893-72aca3541f2c
# ╟─729198d1-5795-4b70-85f8-f25717edc244
# ╟─301c4a13-814e-4853-aa5b-aac611cc40f0
# ╟─feb4fbca-0a01-445a-b4e1-d50b3f3525a3
# ╟─9aa0dec2-c1e1-41c5-9ad5-35b51e41128a
# ╟─3a2a5dea-4a07-4368-89c9-cde995b9964b
# ╟─d79b4d61-8211-4fca-a83c-46db3959d51e
# ╟─a4670db5-20e5-41cd-a2af-8dd15ce119f6
# ╟─16d95a82-743e-478c-a50d-36e800910883
# ╟─be1e2ae2-8b05-42c7-bc54-18c9ff111854
# ╟─8464e17a-2f95-4bde-8c37-502359bb2dd8
# ╟─59023ef2-e4fb-4e41-9652-67f6a107e1b1
# ╟─a7c9120b-ee24-48c2-904a-e40ef95fcffa
# ╟─148712ae-b638-45de-9ab1-96492f083439
# ╟─8f9498b5-a1cf-4be7-b0dd-41aad76c959b
# ╟─6ce18679-b433-4110-8ef4-0fd9135737f4
# ╟─cf464f2d-a329-42d1-b7ea-a4fb5eba421f
# ╟─cedc6044-5eb2-4e95-98c7-e5831597a258
# ╟─d43ce5da-dee3-4d44-a202-4f5f4770772b
# ╟─a4a0a069-80d6-4a13-a19d-56b200ca8545
# ╟─b71c4b72-7004-4600-82d4-651179178a03
# ╟─a5e630a2-4489-4e6f-b3b6-97abef6b1d66
# ╟─fd4aead4-bf25-4125-b094-6edce0e77b1e
# ╟─fcaff09a-c014-4fe9-81f8-f0fb72d99829
# ╟─8323c2cc-cc29-416b-aca4-798f7cc844ed
# ╟─9119860b-2ada-411a-95e7-e1e56ae573c0
# ╟─8dc2cccb-a682-4c42-99fe-ccc91d3823d1
# ╟─c6df152f-9f62-4eb4-997e-afd9a0868c9e
# ╟─41b91a85-ac56-4b36-87e1-b121c756417e
# ╟─4d039efd-c682-4abe-a2a4-8536ed97a3c7
# ╟─5752193f-de1f-4832-ab93-a0fc8c4d9c4d
# ╟─7b376a7e-215e-40af-82af-6be2762aa7eb
# ╟─cd5ece1a-bd73-4652-bd3f-c2a762b04491
# ╟─70661dd7-0acf-4b6c-b7dd-f4ad71c1cee9
# ╟─6e1be79b-bfc7-444e-b660-e0d24a2cf5dd
# ╟─e4c4606f-bb51-43c6-98b7-73e1b133b251
# ╟─16515e3c-52d3-44a8-88cd-6976aab9ecc7
# ╟─371a326e-f13b-44ce-91e8-50d43b7ae59a
# ╟─b7bdc144-7648-403f-bce7-2b6df6a8dd2f
# ╟─31c17b01-eb86-4fd4-82cc-3c31cf3020d8
# ╟─fe72e3e8-a2b4-43b2-811d-5f4fe2c8dd7a
# ╟─3222f82c-b513-403b-b4c5-22d89144f894
# ╟─02748d79-5707-4130-9aae-0c6141e4f760
# ╟─d01a85dd-1fd5-4b4e-9ff6-6de1f94d1752
# ╟─1217e6ec-8479-4a85-b0e7-088eee30bc63
# ╟─33ac7bdb-ada2-420b-b793-dc51fbc689bb
# ╟─53c77ef1-899d-47c8-8a30-ea38380d1614
# ╟─670e45a3-9d28-47ae-a6b6-a1b1c67a0a4c
# ╟─2ee2c328-5ebe-488e-94a9-2fce2200484c
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002
