To determine how much you need to save each month for your emergency fund, we can break the problem down into a few steps.
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Calculate the discretionary income: \[ \text{Discretionary income} = \text{Realized income} \times \text{Percentage of discretionary income} \] \[ \text{Discretionary income} = 2415.64 \times 0.54 = 1304.57 \]
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Determine the desired emergency fund amount: First, we need to figure out what "3 months of fixed expenses" means. Since we don't have the exact amount of fixed expenses, we need to maintain the process generically unless otherwise specified.
Let's denote the fixed expenses as \( F \). So, your emergency fund target will be: \[ \text{Emergency fund} = 3F \]
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Calculate the monthly savings needed over 8 months: To determine how much you need to save each month to reach your goal in 8 months, we use the following formula: \[ \text{Monthly Savings} = \frac{\text{Emergency fund}}{\text{Months to save}} \] \[ \text{Monthly Savings} = \frac{3F}{8} \]
After calculating the amount of fixed expenses \( F \), you'll be able to plug that value into the formula above to find your monthly savings requirement. Since the amount of fixed expenses isn't indicated in your question, please provide \( F \) if you have that data, or clarify if you want to proceed with hypothetical numbers.
If you have the fixed expenses:
To illustrate with an example, if the fixed expenses per month are, say, $1,000: \[ \text{Emergency fund} = 3 \times 1000 = 3000 \] \[ \text{Monthly Savings} = \frac{3000}{8} = 375 \]
Thus, you would save $375/month.
If we assume a different example:
Suppose your fixed expenses are $2,000: \[ \text{Emergency fund} = 3 \times 2000 = 6000 \] \[ \text{Monthly Savings} = \frac{6000}{8} = 750 \]
This would mean saving $750/month.
Let me know if you want to specify particular fixed expenses, so I can calculate the most accurate monthly savings for you!