Dirty Price Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dirty Price = Clean Price+Accrued Interest
Pdirty = Pclean+AI
This formula uses 3 Variables
Variables Used
Dirty Price - Dirty Price of a bond refers to its full price, which includes both the clean price and the accrued interest since the last coupon payment.
Clean Price - Clean Price of a bond refers to the price an investor pays to buy the bond without considering any accrued interest.
Accrued Interest - Accrued Interest is the interest that has accumulated on a bond since the last coupon payment.
STEP 1: Convert Input(s) to Base Unit
Clean Price: 60 --> No Conversion Required
Accrued Interest: 5.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pdirty = Pclean+AI --> 60+5.1
Evaluating ... ...
Pdirty = 65.1
STEP 3: Convert Result to Output's Unit
65.1 --> No Conversion Required
FINAL ANSWER
65.1 <-- Dirty Price
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Keerthika Bathula
Indian Institute of Technology, Indian School of mines, Dhanbad (IIT ISM Dhanbad), Dhanbad
Keerthika Bathula has created this Calculator and 50+ more calculators!
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Verified by Aashna
IGNOU (IGNOU), India
Aashna has verified this Calculator and 10+ more calculators!

14 Fixed Income Securities Calculators

Accrued Interest
​ Go Accrued Interest = (Face Value*Total Annual Coupon Rate*Days since Last Payment Date)/(Number of Coupon Payments per Year*Accrual Period)
Conversion Premium
​ Go Conversion Premium = Conversion Value-Market Price of Convertible Bond
Conversion Ratio
​ Go Conversion Ratio = Par Value at Maturity/Conversion Price of Equity
Convexity Adjustment
​ Go Convexity Adjustment = Bond's Convexity*(Change of Yield^2)*100
Callable Bond Price
​ Go Callable Bond Price = Non Callable Bond Price-Call Option Price
Nominal Yield
​ Go Nominal Yield = (Total Annual Interest Payments/Face Value)*100
Expected Loss
​ Go Expected Loss = Default Probability*Loss Severity given Default
Putable Bond Price
​ Go Putable Bond Price = Non Putable Bond Price+Put Option Price
Conversion Value
​ Go Conversion Value = Market Price per Share*Conversion Ratio
Floating Interest Rate
​ Go Floating Interest Rate = Reference Rate+Fixed Spread
Dirty Price
​ Go Dirty Price = Clean Price+Accrued Interest
Clean Price
​ Go Clean Price = Dirty Price-Accrued Interest
Semi Annual Bond Equivalent Yield
​ Go Semi Annual Bond Equivalent Yield = Yield per Semi Annual Period*2
Loss Severity
​ Go Loss severity = 1-Recovery Rate

Dirty Price Formula

Dirty Price = Clean Price+Accrued Interest
Pdirty = Pclean+AI

What is Dirty Price ?

The dirty price of a bond, also known as the full price or invoice price, represents the actual cost to purchase the bond in the market. It includes both the clean price of the bond, which is the quoted price excluding any accrued interest, and the accrued interest that has accumulated since the last coupon payment. Accrued interest is the portion of the next coupon payment that has been earned by the bondholder but not yet paid. The dirty price is important for investors because it reflects the total amount they need to pay to acquire the bond, taking into account both its current market value and the interest that has accrued since the last coupon payment.

How to Calculate Dirty Price?

Dirty Price calculator uses Dirty Price = Clean Price+Accrued Interest to calculate the Dirty Price, The Dirty Price of a bond refers to its full price, which includes both the clean price and the accrued interest since the last coupon payment. Dirty Price is denoted by Pdirty symbol.

How to calculate Dirty Price using this online calculator? To use this online calculator for Dirty Price, enter Clean Price (Pclean) & Accrued Interest (AI) and hit the calculate button. Here is how the Dirty Price calculation can be explained with given input values -> 65.1 = 60+5.1.

FAQ

What is Dirty Price?
The Dirty Price of a bond refers to its full price, which includes both the clean price and the accrued interest since the last coupon payment and is represented as Pdirty = Pclean+AI or Dirty Price = Clean Price+Accrued Interest. Clean Price of a bond refers to the price an investor pays to buy the bond without considering any accrued interest & Accrued Interest is the interest that has accumulated on a bond since the last coupon payment.
How to calculate Dirty Price?
The Dirty Price of a bond refers to its full price, which includes both the clean price and the accrued interest since the last coupon payment is calculated using Dirty Price = Clean Price+Accrued Interest. To calculate Dirty Price, you need Clean Price (Pclean) & Accrued Interest (AI). With our tool, you need to enter the respective value for Clean Price & Accrued Interest and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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