This is a tool that calculates the present value of a combination of an annuity and a single future amount of money.

For this calculation, it is necessary to supply the following information:

• The future value of the single amount of money (not the annuity).
• The annuity payment as an annual (default), semiannual, quarterly, monthly, weekly or daily amount. For a fixed annuity, this payment does not change over the time of the annuity. For a growing annuity, on the other hand, the payment grows each period at the specified growth rate, and thus the entered payment should be that for the first period.
• The annuity growth rate, which should only be greater than the default value of 0% if the annuity is growing. In this case, since the annuity is grown every payment period, the entered growth rate should be consistent with this period. On the tool form, the rate is usually expressed in percentage terms (unless the formatting is explicitly set to express it as a decimal).
• The term for both the change in value of the single amount and the annuity. This can be expressed in years, months, weeks or days.
• The annuity type, which is either ordinary or annuity-due. The difference between these types is that for an ordinary annuity, the payments are at the end of each period, whereas for an annuity-due, the payments are at the beginning of each period.
• The annual interest rate, which can be entered as either a nominal (default) or effective rate, and applies to both the annuity and the single money amount. With regard to the annuity, if it is a nominal annual rate then it is used together with the compounding and payment frequencies to determine the interest rate applied per payment period. An effective annual rate, on the other hand, is a rate that has already factored in the periodic compounding to give a rate equivalent to interest being compounded annually, and thus only needs payment frequency to determine the interest rate applied per payment period. On the tool form, the rate is usually expressed in percentage terms (unless the formatting is explicitly set to express it as a decimal).
• The compounding frequency, which specifies how often interest is compounded per year, and applies to both the annuity and the single money amount. The possible values for the compounding frequency are annual (default), semiannual, quarterly, monthly, weekly, daily or continuous. For flexibility, the compounding frequency does not have to be the same as the annuity payment frequency. Note also that the compounding frequency is only important if a nominal annual interest rate is given, since an effective annual rate has already taken the periodic compounding into account.

Associated tool link: http://www.coggit.com/tools/present_value_annuity_amount.html