Answer :

The discount rate on a 9-month $3600 Treasury bill sold for $3195 is approximately 11.65%.

A Treasury bill, or T-bill, is a short-term debt security that matures in one year or less from its issue date. The U.S. Department of the Treasury issues T-bills and guarantees repayment of the face value to investors. Treasury bills are sold in denominations of $1,000 up to a maximum purchase of $5 million, and they are issued in electronic form rather than as a physical certificate.

The discount rate is the annualized percentage rate applied to face value to determine the purchase price of a Treasury bill.Treasury bills, which are sold in denominations of $1,000 and carry maturities from a few days to 52 weeks, are sold at a discount to the face value.

The formula for calculating the discount rate on a Treasury bill is:

Discount rate = (face value - purchase price) / face value × (360 / days to maturity)

Using this formula, we can calculate the discount rate on a 9-month $3600 Treasury bill sold for $3195 as follows:

Face value = $3600

Purchase price = $3195

Days to maturity = 9 months = 270 days

Discount rate = ($3600 - $3195) / $3600 × (360 / 270) = 0.0875 × 1.333 ≈ 0.1165 or approximately 11.65%

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