<p class="Paragraph">Settlement date: November 11 1999, maturity date: March 1 2012, issue date: October 15 1999; first interest date: March 1 2000. Interest rate: 7.85 per cent, yield: 6.25 per cent, redemption value: 100 currency units, frequency of payments: half-yearly = 2, basis: = 1</p>
<p class="Paragraph">The price per 100 currency units par value of a security, which has an irregular first interest date, is calculated as follows:</p>
<p class="Paragraph">Settlement date: February 7 1999, maturity date: June 15 1999, last interest date: October 15 1998. Interest rate: 3.75 per cent, yield: 4.05 per cent, redemption value: 100 currency units, frequency of payments: half-yearly = 2, basis: = 0</p>
<p class="Paragraph">The price per 100 currency units par value of a security, which has an irregular last interest date, is calculated as follows:</p>
<p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the depreciation of an asset for a specified or partial period using a variable declining balance method.</help:help-text></p>
<p class="Paragraph"><span class="T1">COST</span> is the initial value of an asset.</p>
<p class="Paragraph"><span class="T1">SALVAGE</span> is the value of an asset at the end of the depreciation.</p>
<p class="Paragraph"><span class="T1">DURATION</span> is the depreciation duration of the asset.</p>
<p class="Paragraph"><span class="T1">START</span> is the start of the depreciation. A must be entered in the same date unit as the duration.</p>
<p class="Paragraph"><span class="T1">END</span> is the end of the depreciation.</p>
<p class="Paragraph"><span class="T1">FA</span> (optional) is the depreciation factor. FA=2 is double rate depreciation.</p>
<p class="Paragraph"><span class="T1">Mode</span> (optional) Mode=1 means a switch to linear depreciation. In Mode=0 no switch is made.</p>
<p class="Head3">Example</p>
<p class="Paragraph">What is the declining-balance double-rate depreciation for a period if the initial cost is 35,000 currency units and the value at the end of the depreciation is 7,500 currency units. The depreciation period is 3 years. The depreciation from the 10th to the 20th period is calculated.</p>
<p class="Paragraph">VDB(35000;7500;36;10;20;2) = 8603.80 currency units. The depreciation during the period between the 10th and the 20th period is 8,603.80 currency units.</p>
<p class="Paragraph">Calculates the internal rate of return for a list of payments which take place on different dates. If the payments take place at regular intervals, use the IRR function.</p>
<p class="Head3">Syntax</p>
<p class="Paragraph">XIRR(Values;Dates;Guess)</p>
<p class="Paragraph">Values and dates: a series of payments and the series of associated date values. The first pair of dates defines the start of the payment plan. All other date values must be later, but need not be in any order. The series of values must contain at least one negative and one positive value (receipts and deposits)</p>
<p class="Paragraph">Guess: optionally a guess can be input for the internal rate of return. The default is 10%.</p>
<p class="Head3">Example</p>
<p class="Paragraph">Calculation of the internal rate of return for the following five payments:</p>
<p class="Paragraph">Calculates the capital value (net present value)for a list of payments which take place on different dates. If the payments take place at regular intervals, use the NPV function.</p>
<p class="Head3">Syntax</p>
<p class="Paragraph">XNPV(Rate;Values;Dates)</p>
<p class="Paragraph">Rate: the internal rate of return for the payments.</p>
<p class="Paragraph">Values and dates: a series of payments and the series of associated date values. The first pair of dates defines the start of the payment plan. All other date values must be later, but need not be in any order. The series of values must contain at least one negative and one positive value (receipts and deposits)</p>
<p class="Head3">Example</p>
<p class="Paragraph">Calculation of the net present value for the above-mentioned five payments for a notional internal rate of return of 6%.</p>
<p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Calculates the interest rate resulting from the profit (return) of an investment.</help:help-text></p>
<p class="Head3">Syntax:</p>
<p class="Paragraph">RRI(P;PV;FV)</p>
<p class="Paragraph"><span class="T1">P</span> is the number of periods needed for calculating the interest rate.</p>
<p class="Paragraph"><span class="T1">PV</span> is the present (current) value. The cash value is the deposit of cash or the current cash value of an allowance in kind. As a deposit value a positive value must be entered; the deposit must not be 0 or <0.</p>
<p class="Paragraph"><span class="T1">FV</span> determines what is desired as the cash value of the deposit.</p>
<p class="Head3">Example</p>
<p class="Paragraph">For four periods (years) and a cash value of 7,500 currency units the interest rate of the return is to be calculated if the future value is 10,000 currency units.</p>
<p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the constant interest rate per period of an annuity.</help:help-text></p>
<p class="Paragraph"><span class="T1">DEPER</span> is the total number of periods, during which payments are made (payment period).</p>
<p class="Paragraph"><span class="T1">PMT</span> is the constant payment (annuity) paid during each period.</p>
<p class="Paragraph"><span class="T1">PV</span> is the cash value in the sequence of payments.</p>
<p class="Paragraph"><span class="T1">FV</span> (optional) is the future value, which is reached at the end of the periodic payments.</p>
<p class="Paragraph"><span class="T1">F</span> (optional) is the due date of the periodic payment, either at the beginning or at the end of a period.</p>
<p class="Paragraph"><span class="T1">GUESS</span> (optional) determines the estimated value of the interest with iterative calculation.</p>
<p class="Head3">Example</p>
<p class="Paragraph">What is the constant interest rate for a payment period of 3 periods if 10 currency units are paid regularly and the present cash value is 900 currency units.</p>
<p class="Paragraph">RATE(3;10;900) = -121% The interest rate is therefore 121%.</p>
<p class="Paragraph">Calculates the annual interest rate that results when a security (or other item) is purchased at an investment value and sold at a redemption value. No interest is paid.</p>
<p class="Paragraph">A painting is bought on 1/15/1990 for 1 million and sold on 5/5/2002 for 2 million. The basis is daily balance calculation (basis = 3). What is the average annual level of interest?</p>
<p class="Paragraph">A security is purchased on 1.25.2001; the date of maturity is 11.15.2001. Interest is paid half-yearly (frequency is 2). Using daily balance interest calculation (basis 3) when is the next interest date?</p>
<p class="Paragraph">A security is purchased on 1.25.2001; the date of maturity is 11.15.2001. Interest is paid half-yearly (frequency is 2). Using daily balance interest calculation (basis 3) how many days are there in the interest period in which the settlement date falls?</p>
<p class="Paragraph">A security is purchased on 1.25.2001; the date of maturity is 11.15.2001. Interest is paid half-yearly (frequency is 2). Using daily balance interest calculation (basis 3) how many days are there until the next interest payment?</p>
<p class="Paragraph">A security is purchased on 1.25.2001; the date of maturity is 11.15.2001. Interest is paid half-yearly (frequency is 2). Using daily balance interest calculation (basis 3) how many days is this?</p>
<p class="Paragraph">A security is purchased on 1.25.2001; the date of maturity is 11.15.2001. Interest is paid half-yearly (frequency is 2). Using daily balance interest calculation (basis 3) what was the interest date prior to purchase?</p>
<p class="Paragraph">A security is purchased on 1.25.2001; the date of maturity is 11.15.2001. Interest is paid half-yearly (frequency is 2). Using daily balance interest calculation (basis 3) how many interest dates are there?</p>
<p class="Head2"><help:help-id value="HID_FUNC_ZINSZ" xmlns:help="http://openoffice.org/2000/help"/><a name="zinsz"/><help:key-word value="calculating cumulative interest; interest amount of a period" tag="kw68335_21" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="PPMT" tag="kw68335_20" xmlns:help="http://openoffice.org/2000/help"/>PPMT</p>
<p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the payment on the principal for a given period for an investment based on periodic, constant payments and a constant interest rate.</help:help-text></p>
<p class="Paragraph"><span class="T1">Rate</span> is the periodic interest rate.</p>
<p class="Paragraph"><span class="T1">P</span> is the period, for which the compound interest is calculated. P=DPER if compound interest for the last period is calculated.</p>
<p class="Paragraph"><span class="T1">DPER</span> is the total number of periods, during which annuity is paid.</p>
<p class="Paragraph"><span class="T1">PV</span> is the present cash value in sequence of payments.</p>
<p class="Paragraph"><span class="T1">FV </span>(optional) is the desired value (future value) at the end of the periods.</p>
<p class="Paragraph"><span class="T1">F</span> is the due date for the periodic payments.</p>
<p class="Head3">Example</p>
<p class="Paragraph">What is the interest rate during the fifth period (year) if the constant interest rate is 5% and the cash value is 15,000 currency units? The periodic payment is seven years.</p>
<p class="Paragraph">IPMT(5%;5;7;15000) = -352.97 currency units The compound interest during the fifth period (year) is 352.97 currency units.</p>
<p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the future value of an investment based on periodic, constant payments and a constant interest rate (Future Value).</help:help-text></p>
<p class="Paragraph"><span class="T1">Rate</span> is the periodic interest rate.</p>
<p class="Paragraph"><span class="T1">DPER</span> is the total number of periods (payment period).</p>
<p class="Paragraph"><span class="T1">PMT</span> is the annuity paid regularly per period.</p>
<p class="Paragraph"><span class="T1">PV</span> (optional) is the (present) cash value of an investment.</p>
<p class="Paragraph"><span class="T1">Type</span> (optional) defines whether the payment is due at the beginning or the end of a period.</p>
<p class="Head3">Example</p>
<p class="Paragraph">What is the value at the end of an investment if the interest rate is 4% and the payment period is two years, with a periodic payment of 750 currency units. The investment has a present value of 2,500 currency units.</p>
<p class="Paragraph">FV(4%;2;750;2500) = -4234.00 currency units. The value at the end of the investment is 4234.00 currency units.</p>
<p class="Paragraph">Capital: is the starting capital.</p>
<p class="Paragraph">Rates: a series of interest rates, e.g. as a range H3:H5 or as a (List) (see example).</p>
<p class="Head3">Example</p>
<p class="Paragraph">1000 currency units have been invested in for three years. The interest rates were 3%, 4% and 5% per annum. What is the value after three years?</p>
<p class="Head2"><help:help-id value="HID_FUNC_ZZR" xmlns:help="http://openoffice.org/2000/help"/><a name="zzr"/><help:key-word value="calculating number of payment periods" tag="kw68335_17" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="NPER" tag="kw68335_16" xmlns:help="http://openoffice.org/2000/help"/>NPER</p>
<p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the number of periods for an investment based on periodic, constant payments and a constant interest rate.</help:help-text></p>
<p class="Paragraph"><span class="T1">Rate</span> is the periodic interest rate.</p>
<p class="Paragraph"><span class="T1">PMT</span> is the constant annuity paid in each period.</p>
<p class="Paragraph"><span class="T1">PV</span> is the present value (cash value) in a sequence of payments.</p>
<p class="Paragraph"><span class="T1">FV</span> (optional) is the future value, which is reached at the end of the last period.</p>
<p class="Paragraph"><span class="T1">Type</span> (optional) is the due date of the payment at the beginning or at the end of the period.</p>
<p class="Head3">Example</p>
<p class="Paragraph">How many payment periods does a payment period cover with a periodic interest rate of 6%, a periodic payment of 153.75 currency units and a present cash value of 2.600 currency units.</p>
<p class="Paragraph">DPER(6%;153.75;2600) = -12,02. The payment period covers 12.02 periods.</p>
