if a six month treasury bill is purchased for .9675 on the dollar, what is the d
ID: 2703915 • Letter: I
Question
if a six month treasury bill is purchased for .9675 on the dollar, what is the discount yield, the annual rate of interest, and the compound interest? what will these yields be if the discount price falls to .94? (discount yield, the annual rate of interest and the compound interest?) the part in ( ) is what I am guessing they want.
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Explanation / Answer
discount yield = id = [(par value - purchase price)/par value] * [360/days to maturity] = (1-.9675)/1 * 360/180 = 6.5% = Answer.
annualized rate of interest = [(par value - purchase price)/purchasee value] * [365/days to maturity] = (1-.9675)/.9675 * 365/180 = 6.81% pa= Answer.
The compound interest = {1+(6.81%/2)}^2 - 1 = 7.97% pa= Answer
If this reduces to .94.
The answers discounted yield = 12%
annualized rate of interest = 12.94% pa
compound interest = 13.36% pa
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