Math Word Problem - price and yield of T-bill

In summary, a T-bill is a safe and low-risk investment option issued by the US government with a maturity period of one year or less. Its price is determined through an auction process and its yield is the annualized return an investor receives when they purchase the bill at a discount and hold it until maturity. The yield of a T-bill is typically lower than other investments, but higher than a savings account or certificate of deposit. The price and yield of a T-bill can be calculated using a formula or with the help of a financial advisor.
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Joystar77
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A T-bill with face value of \$10,000 and 96 days to maturity is selling at a bank discount ask yield of 4.3%. A. What is the price of the bill? (use 360 days a year) B. what is its bond equivalent yield? A. .043 * (96/360) = .011 .011 * (1-.043) = \$9,890 B. 1.1% * (365/96) = 4.182%. Are these answers correct?
 
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  • #2
I know what "bank discount" means but I do not recognize the phrase "bank discount ask yield". Could you explain that?

For B, having been told "use 360 days a year", why do you use 365?
 

FAQ: Math Word Problem - price and yield of T-bill

What is a T-bill?

A T-bill, or Treasury bill, is a short-term debt obligation issued by the US government with a maturity period of one year or less. It is considered a safe and low-risk investment option.

How is the price of a T-bill determined?

The price of a T-bill is determined through an auction process where investors bid on the bill. The highest bidding price is then used to set the price for all investors. This price is typically lower than the face value of the T-bill, allowing investors to earn a profit when the bill matures.

What is the yield of a T-bill?

The yield of a T-bill is the annualized return an investor receives when they purchase the bill at a discount and hold it until maturity. It is calculated by dividing the discount amount by the face value of the bill.

How does the yield of a T-bill compare to other investments?

The yield of a T-bill is typically lower than other investments, such as stocks or corporate bonds, as it is considered a low-risk investment. However, it is higher than the yield of a savings account or a certificate of deposit.

How can I calculate the price and yield of a T-bill?

The price and yield of a T-bill can be calculated using the following formula: Price = Face Value / (1 + (Yield x Time to Maturity)) and Yield = (Face Value - Price) / Price x (360 / Days to Maturity). Alternatively, you can use online calculators or consult with a financial advisor for accurate calculations.

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