E jurnal Matematika

99-105

Authors: I Gede Rendiawan Adi Bratha, Komang Dharmawan, Ni Luh Putu Suciptawati

Holding option contracts are considered as a new way to invest. In pricing the option contracts, an investor can apply the binomial tree method. The aim of this paper is to present how the European option contracts are calculated using binomial tree method with some different choices of strike prices. Then, the results are compared with the Black-Scholes method. The results obtained show the prices of call options contracts of European type calculated by the binomial tree method tends to be cheaper compared with the price of that calculated by the Black-Scholes method. In contrast to the put option prices, the prices calculated by the binomial tree method are slightly more expensive.

116-123

Authors: Pradita Z. Triwulandari, Kartika Sari, Luh Putu Ida Harini

Near-rings are generalize from rings. A research on near-ring is continous included a research on prime near-rings and one of this research is about derivation on prime near-rings. This article will reviewing about relation between derivation on prime near-rings and commutativity in rings with literature review method. The result is prime near-rings N are commutative rings if a nonzero derivation d on N hold one of this following conditions: (i) d([x,y])=[x,y], (ii) d([x,y])=[d(x),y], (iii) d([x,y])=[x,y], (iv) d(x⋄y)=(x⋄y), (v) d(x)⋄y=(x⋄y), (vi) d(x⋄y)= d(x)⋄y, for all x,y∈I, with I is non zero semigroup ideal from N.

131-136

Authors: I Made Danny Dananjaya, I Putu Eka N. Kencana, I Komang Gde Sukarsa

The purpose of this research is to know the influence of the image of the destination towards internal motivation and external motivation, internal motivation and external motivation against travelers, the influence of taourist motivation towards the stratification of tourists holidaying in the village of Sanur. The population in this research is the elderly tourists on vacation to the village of Sanur with sample as much 100 sample and sample “technique used is Accidentalsampling techniques. This research method using Partial Least Square with 3 variables second order in the variable image of tourist destination, motivation, satification of tourists and 6 first orde variable the explain the motivation variable satisfaction of tourists and travelers.The results of the research show that the image of destinations likely to affect external motivation path coefficient with a value amounting to 0.939 on the tourist motivation more dominant external motivation that affect the value of the coefficient of 0.836. While the motivations of tourist proved to influence that satisfaction of travelers with coefficients of 0.402.

143-151

Authors: Tira Catur Rosalia, Luh Putu Ida Harini, Kartika Sari

Graph labelling is a function that maps graph elements to positive integers. A covering of graph G is H_i family subgraph from G, for 1≤i≤k with integer k. Graph G admits H covering if for every subgraph H_i is isomorphic to a graph H. A connected graph G (V,E) is an (a,d)- antimagic if there are positive integers a,d and bijective function f:E(G)→{1,2,3,…,|E(G)|} such that there are injective function g_f:V→N, defined by g_f (v)=∑▒〖{f(uv)|uv∈E(G)}〗 with g_f (V)={a,a+d,…,(|V|-1)d}. The purpose of this research is to determine a total super (a,d)-H antimagic covering on lobster graph L_n (q,r). The method of this research is literature study method. It is obtained that there are a total super (2nq^2 r^2+3nq^2+4nqr^2+7nqr-12nq+6nrq^2-16nr-22n+d+1,d)-L_2 (q,r) antimagic covering for d∈{1,3} on lobster graph L_n (q,r) with integer n≥3,r≥1, and even number q≥2. Keywords : total super (a,d)-H antimagic covering, lobster graph, bat graph.

161-167

Authors: Ida Ayu Gde Khasmana Putri, Komang Dharmawan, Ni Ketut Tari Tastrawati

Agricultural insurance is insurance in the agricultural sector which is relatively new introduced in Indonesia. Agricultural insurance is based on a rainfall index. It is a risk management tool that is relatively new in Indonesia. This study was purposed to determine the steps required in determining the value of the rainfall index on agricultural insurance and calculating the contract value of agricultural insurance which had to be paid on the agricultural insurance that is on rainfall index-based by using Black-Scholes method. The result of this research are if the amount of rainfall was 130,4 mm so the amount of premium payment equals Rp. 60.694, as well as if the amount of high rainfall was 179,9 mm so the amount of premium payment equals Rp.902.760.