Based on the model of symmetric and asymmetric duopoly option game, this paper discusses the present value of profit flows and the sunk investment costs for the trapezoidal fuzzy number. It constructs the fuzzy expressions of the investment value and investment threshold of followers and leaders under fuzzy environment and conducts numerical analysis. This offers a kind of explanation to the investment strategies under fuzzy environment.
Option pricing is irreversible, fuzzy, and flexible. The fuzzy measure which is used for real option pricing is a useful supplement to the traditional real option pricing method. Based on the review of the concepts of the mean and variance of trapezoidal fuzzy number and the combination with the Carlsson-Fuller model, the trapezoidal fuzzy variable can be used to represent the current price of land expropriation and the sale price of land on the option day. Fuzzy Black-Scholes option pricing model can be constructed under fuzzy environment and problems also can be solved and discussed through numerical examples.
This research aims to investigate traditional vehicle manufacturers' green technology investment theory under dual credit policy from the perspective of real options, overcoming earlier investigations of this issue that considered it only from a stability or single uncertainty perspective. An analytical real options model was first provided for traditional automaker investment. Then we solved the analytical solution for the electric vehicle investment threshold based on the uncertainty of credit price and fuel vehicle market scenarios. The optimal electric vehicle investment timing is demonstrated using numerical simulation. Results show that (1) when the fuel vehicle market demand falls to a certain level, automakers will choose to make electric vehicle investments regardless of how the credit price changes in the market; (2) the effect of volatility on the investment threshold depends on the covariance or correlation coefficient; (3) the numerical simulation results revealed that the credit price drift rate, risk‐free rate, correlation parameters, and electric vehicle production cost all have a positive impact on the electric vehicle investment region, whereas the drift rate of fuel vehicle and electric vehicle production cost have a negative impact. These results can be used to make theoretical conclusions about electric vehicle investments.
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