Suppose that $500 million of a 10-year fixed principal treasury note with a coupon rate of 5% is purchased by a dealer firm to create zero-coupon treasury securities.
a) what is the maximum number of zero coupon treasuries the dealer firm can create from this notice?
b) what are the FV on each of these zero-coupon securites?
Assumptions: Semi annual coupon payments
a) Total 21 coupons can be generated by this bond (20 coupon payments and a final principal payment at maturity)
b) Each coupon will be of face value = 0.05*500,000,000/2 (in 1 year 2 coupons are generated)
=12,500,000
final principal payment face value (also called corpus) = 500,000,000
The maturity dates of these coupons will be same as of original treasury bond coupons maturity.
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