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Optimal investment strategy with debt financing under stochastic interest rates

机译:随机利率下的债务融资最优投资策略

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We study an approach that can be applied by firms' managers in order to make more effective decisions on investment and debt strategies with the consideration of fluctuating interest rates. We model by a stochastic differential equation in which the drift varies in response to expanded investment and outstanding debt. In the optimization of the investment-debt policy, we consider a continuous stochastic interest rate as a discounting factor. One of our findings is that the optimal condition to consider debt financing for investment is when the liquidity level and the liquidity drift are high while the interest rates are low. Also, there are two limiting points over the liquidity level domain whereby below the lower point and above the upper point it is not optimal to consider debt financing for investment. Over the liquidity-drift range we find a point above which debt financing is optimal and also having an interest rate below the threshold value is optimal for debt financing. The suggested approach is more suitable for managing growing firms in the developing economies where the macroeconomic effects are more intense and firms rely more on debt financing over equity financing. Firms' managers have to consider the liquidity level, liquidity drift and the interest rates before embarking in debt financing for investment, while the monetary policy makers in developing economies have to ensure low interest rates in order to favour firms' investment growth.
机译:我们研究了可以由公司经理使用的方法,以便在考虑利率波动的情况下对投资和债务策略做出更有效的决策。我们通过随机微分方程建模,其中漂移随扩展的投资和未偿债务而变化。在优化投资债务政策时,我们将连续随机利率作为折现因子。我们的发现之一是,考虑将债务融资用于投资的最佳条件是当流动性水平和流动性漂移较高而利率较低时。此外,在流动性水平域上有两个限制点,因此在最低点以下和较高点以上,考虑债务融资进行投资并不是最佳选择。在流动性漂移范围内,我们找到了一个点,在该点之上,债务融资是最佳的,并且低于阈值的利率对于债务融资也是最佳的。建议的方法更适合于管理发展中经济体中的成长型企业,在这些经济体中,宏观经济影响更为强烈,并且企业更多地依赖债务融资而非股权融资。在开始债务融资进行投资之前,企业的管理者必须考虑流动性水平,流动性漂移和利率,而发展中经济体的货币政策制定者必须确保低利率,以有利于企业的投资增长。

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