Further computations are made on the traditional coupon collector’s problem when the collector shares his harvest with his younger brothers. When the book of the p-th brother of the collector is completed, the books of the younger brothers have certain numbers of empty spots. On the average, how many? Several answers can be brought to that question.

Generalizing Cox, Ingersoll, and Ross (1979), this paper defines the stochastic duration of a bond in a general multi-factor diffusion model as the time to maturity of the zero-coupon bond with the same relative volatility as the bond. Important general properties of the stochastic duration measure are derived analytically, and the stochastic duration is studied in detail in various well-known ...

X-ray backscatter (XBS) and millimeter wave (mmW) whole body imaging are currently deployed worldwide to screen individuals at security screening checkpoints. The detection of impermissible objects carried by passengers via XBS and mmW screening shares many commonalities with medical radiological screening and diagnosis. A primary objective of this project is to leverage radiological imaging sc...

A firm issues a convertible bond. At each subsequent time, the bondholder must decide whether to continue to hold the bond, thereby collecting coupons, or to convert it to stock. The bondholder wishes to choose a conversion strategy to maximize the bond value. Subject to some restrictions, the bond can be called by the issuing firm, which presumably acts to maximize the equity value of the firm...

European options on coupon bonds are studied in a quantum field theory model of forward interest rates. Swaptions are briefly reviewed. An approximation scheme for the coupon bond option price is developed based on the fact that the volatility of the forward interest rates is a small quantity. The field theory for the forward interest rates is Gaussian, but when the payoff function for the coup...

In our model, we have assumed that all consumers are coupon users. As we show here, our results do not change qualitatively if we introduce coupon non-users. Assume that there is a fraction, 1 − γ, of consumers who do not use coupons. They are uniformly distributed on the interval [−L,L] as well, but they can have different price sensitivity than the coupon users have. Specifically, we assume t...

The growth and popularity of online shopping platforms have attracted numerous vendors to invest in this shopping channel. Coupon proneness is one key price-related personality influencing trust in online retailing environment. This study seeks to examine the moderating effect of personality trait (coupon proneness) on trust in satisfaction-repurchase intention link. The research model was empi...

Microbially induced corrosion (MIC) is a complex problem that affects various industries. Several techniques have been developed to monitor corrosion and elucidate corrosion mechanisms, including microbiological processes that induce metal deterioration. We used zero resistance ammetry (ZRA) in a split chamber configuration to evaluate the effects of the facultatively anaerobic Fe(III) reducing...

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...