Question

assume that the price quotation of the cbt treasury bond futures contract changes from 98-14 to 100-09. what are the gains and losses to the short and long as a result of marking-to-market for 1 contract with $100,000 par value?

Answer 1

Gains or losses from a CBT Treasury bond futures price movement from 98-14 to 100-09 result in a gain of $1,843.75 for the long position and a loss of the same amount for the short position for a contract with a $100,000 par value due to marking-to-market.

Step-by-step explanation:

The student's question pertains to the calculation of gains and losses on a CBT (Chicago Board of Trade) Treasury bond futures contract when its price quotation changes. When the price quotation of the Treasury bond futures contract changes from 98-14 to 100-09, the contract value increases. This is because each point in the quotation represents 1% of the bond's par value, and there are 32nds of a point.

To calculate the change in value for a $100,000 bond, we convert the price quotations to decimals. The initial price is 98.4375 (98 + 14/32) and the final price is 100.28125 (100 + 9/32). The difference in price is 1.84375 (100.28125 - 98.4375). For a $100,000 bond, this translates to a gain or loss of:

1.84375% × $100,000 = $1,843.75

The long position gains this amount, while the short position incurs an equivalent loss as a result of marking-to-market the contract.