Explanation
For a U.S. Treasury bill quoted at a discount rate of 5.20%, the cash price is calculated as:
Cash Price=Face Value×(1−360Discount Rate×Days)
Given:
- Face Value =
$1,000,000
- Discount Rate = 5.20% = 0.052
- Days = 182
Cash Price=1,000,000×(1−3600.052×182)
=1,000,000×(1−3609.464)
=1,000,000×(1−0.0262889)
=1,000,000×0.9737111
= \`$973`,711
Therefore, the correct cash price is $973,711.