Assuming the interest rate is the same, is the purchase price of a 98-day $100,000 T bill higher or lower than the price of a 168 day $100,000 T-bill?
Answer:
Calculating the Purchase price of T-bill:
Step1: Multiply the Maturity days with the interest rate.
(Note: Let's assume interest rate as 10%)
98 days*10 ; 168 days*10
980 ; 1680
Step2: Divide the step1 value with 360
980÷360 ; 1680÷360
2.722 ; 4.667
Step3: Subtract the step2 value from 100. It gives the purchase price of the T-Bill.
100-2.722 ; 100-4.667
97.278 ; 95.334
Conclusion:
The Purchase price of 98 day T-Bill is $97,278,
and Purchase price of 168 day T-Bill is $95,334
Therefore, the purchase price of the 98-day $100,000 T-Bill is higher than the purchase price of 168-day $100,000 T-Bill.
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