A nuclear power plant requires a huge amount of initial investment and long construction lead time. As we expect that there may exist a relationship between investment and construction lead time, a number of researchers have reported that nearly a half of investments is incurred due to time factors such as the time value of money and inflation or escalation rates. Therefore, we investigated in this paper a relationship between the initial investment and the construction lead time of a nuclear power plant construction, and proposed a method for a trade-off analysis between the annual equivalent worth and the investment alternatives to reduce the construction lead time. Finally, we presented a real case to numerically explain the steps of the method presented in this paper.