First - you need to know what your budget is each month for living. Second, it "sounds" like you are referring to a teacher's compensation package that is either spread over 12 months or 10 months with the option of being salaried or hourly. If that is the case, the "annual" compensation value is supposed to be roughly the same whether you choose 10 months or 12 months, the pay is still "X" divided by the number of months of payment. If the 12-month, salaried option is available - this will protect you more from the summer without pay.
If the distribution schedule only covers 10 months - regardless of whether you are salaried or hourly - then how much do you need to save each month to cover the unpaid months? Take the salaried annual value, divide it by 10 and determine if - based on your budget - you can save enough each month to cover the two unpaid summer months. Also ask yourself how disciplined you are with saving - can you ensure you will do it?
Finally, an hourly rate can be calculated based on the annual divided by how many hours you work - right? But if you work more than that, under salary you may lose. However, if that hourly rate does not allow you to save for those two uncovered months - the rate is not enough to cover your living expenses plus your savings. If you are banking on working more hours than expected, that is a risk - you don't know if more work will materialize. If salaried, you can be given more work than part time, but you also have a certainty that allows you to prepare for the unpaid months. So at the end of the day, it is about how disciplined you are to save and how much certainty you have about the volume of work. If the volume of work is uncertain, take the salary. If you are unsure about your discipline, take the salary. If you have more certainty, take the hourly rate IF it is sufficient to meet your needs.
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