Determination of Premium Price for Rice Crop Insurance in Gorontalo Province Based on Rainfall Index with Black Scholes Method

With its complex topography, Gorontalo Province experiences significant rainfall variations that impact the agricultural sector, particularly rice crops. These variations can cause substantial losses for farmers. One way to address uncertain probabilities caused by rainfall is through agricultural insurance. This research aims to calculate the value of agricultural insurance premiums based on the rainfall index. The Black- Scholes method is used to calculate the premiums, while the Burn Analysis method is employed to determine the rainfall index. The research results classify the rainfall index values in Gorontalo Province into 7 (seven) percentiles. The lowest is at the 20th percentile, with 17.37 mm and a premium value of IDR 1,574,190, while the highest is at the 80th percentile, with 17.65 mm and a premium value of IDR 2,154,574. This indicates that the higher the rainfall, the greater the premium to be paid.

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Publication Details

Journal
Pattimura International Journal of Mathematics (PIJMath)
Published
2024-11-30
DOI
https://doi.org/10.30598/pijmathvol3iss2pp51-62
Primary Topic
Management and Optimization Techniques
Type
article
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article

Determination of Premium Price for Rice Crop Insurance in Gorontalo Province Based on Rainfall Index with Black Scholes Method

La Ode Nashar, Agusyarif Rezka Nuha, Emli Rahmi, Salmun K. Nasib et al.
Pattimura International Journal of Mathematics (PIJMath)
Management and Optimization Techniques
article

Determination of Premium Price for Rice Crop Insurance in Gorontalo Province Based on Rainfall Index with Black Scholes Method

La Ode Nashar, Agusyarif Rezka Nuha, Emli Rahmi, Salmun K. Nasib, Nisky Imansyah Yahya, Ana Nadiyyah
article en

Abstract

With its complex topography, Gorontalo Province experiences significant rainfall variations that impact the agricultural sector, particularly rice crops. These variations can cause substantial losses for farmers. One way to address uncertain probabilities caused by rainfall is through agricultural insurance. This research aims to calculate the value of agricultural insurance premiums based on the rainfall index. The Black- Scholes method is used to calculate the premiums, while the Burn Analysis method is employed to determine the rainfall index. The research results classify the rainfall index values in Gorontalo Province into 7 (seven) percentiles. The lowest is at the 20th percentile, with 17.37 mm and a premium value of IDR 1,574,190, while the highest is at the 80th percentile, with 17.65 mm and a premium value of IDR 2,154,574. This indicates that the higher the rainfall, the greater the premium to be paid.

Pattimura International Journal of Mathematics (PIJMath)Vol. 3(2)
State University of Gorontalo (ID)
Openalex Percentile: Top 56%
Management and Optimization Techniques
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