In this paper, we elaborate a formula for determining the optimal strike price for a bond put option, used to hedge a position in a bond. This strike price is optimal in the sense that it minimizes, for a given budget, either Value-at-Risk or Tail Value-at-Risk. Formulas are derived for both zero-coupon and coupon bonds, which can also be understood as a portfolio of bonds. These formulas are v...

A locally surjective homomorphism from a graph G to H is called an -role colouring of . Deciding the existence such with | = k known be NP -hard even under substantial restrictions on input We study family hereditary classes for which problem can solved efficiently. Our main result first boundary class this problem; that is, minimal obstruction solving efficiently in finitely defined class. als...

The classic Coupon-Collector Problem (CCP) is generalized. Only basic probability theory is used. Centerpiece rather is an algorithm that efficiently counts all k-element transversals of a set system.