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On Aug 10, 8:03 am, bonjella wrote:
I have a starting balance, the annual interest rate of my savings account, and how much I can save each month. I also have a target ammount in mind. From this I want to know how many Months I will have to save this before my Target is met. Suppose your savings APY is 3%, you have $25,000 already, you plan to save $750 per month, and your goal is $50,000. Then the number of months is: =roundup(nper(3%/12, -750, -25000, 50000), 0) if I want to buy a home in 2 years time, how much I'll have saved by then =rounddown(fv(3%/12, 24, -750, -25000), 0) And you might want to know how much you would have to save each month in order to meet your goal: =roundup(-pmt(3%/12, 24, -25000, 50000), 0) my answers are coming out negitive First, some people would say that the negative results are not necessarily wrong. But like you, I like my results to be positive. In this case, the key is to think of the "present value" (starting balance) and "payments" (monthly amount saved) as outflows (negative) and the "future value" (goal) as an inflow (positive). Then adjust the sign of the result to be positive as you choose. In this case, only the result of the PMT function needs to be changed. Notes: 1. Computing the monthly interest rate as 3%/12 is an estimate. First, since I am talking about the APY, the monthly rate should be computed by (1+3%)^(1/12)-1. But the difference in this case is small -- only $1 per month. Second, interest in some (not all) savings accounts compound daily. But again, the difference is small. On the other hand, many savings accounts compute simple interest based on a daily balance or average daily balance; in that case, compounding is indeed on a monthly basis. 2. I choose between ROUNDUP and ROUNDDOWN in to yield the more conservator answer, depending on what is computed. Again, the difference is not large enough to really make much of a difference. 3. You might want to use the after-tax interest rate. That is the APY times 1-t, where "t" is sum of the applicable federal and state tax rates. |
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