# Difference between revisions of "Multiply sets"

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− | + | Multiplying across a result set allows for interest rates to calculated correctly. | |

+ | In this example we get the interest after 4 years imagine over the 4 years we have rates 5%, 4%, 5% and 3% adding these rates | ||

+ | to get 17% (£117) isn't correct instead the correct result is obtained differently. | ||

<div class='ht'> | <div class='ht'> | ||

<div class=params>schema:scott</div> | <div class=params>schema:scott</div> | ||

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</source> | </source> | ||

<div> | <div> | ||

− | |||

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<p>We need to instead find the logarithm of the compound interest and then we need to sum that.</p> | <p>We need to instead find the logarithm of the compound interest and then we need to sum that.</p> | ||

<p>SELECT SUM(LN((rate/100)+1)) FROM interest</p> | <p>SELECT SUM(LN((rate/100)+1)) FROM interest</p> | ||

<p>Then we inverse or take the exponent of the logarithm with</p> | <p>Then we inverse or take the exponent of the logarithm with</p> | ||

<p>SELECT EXP(SUM(LN((rate/100)+1))) FROM interest</p> | <p>SELECT EXP(SUM(LN((rate/100)+1))) FROM interest</p> | ||

− | <p>and then finally to get the amount after 4 years we times this amount by 100 ( | + | <p>and then finally to get the amount after 4 years we times this amount by 100 (£100).</p> |

</div> | </div> | ||

<source lang='sql' class='def'>SELECT EXP(SUM(LN((rate/100)+1)))*100 | <source lang='sql' class='def'>SELECT EXP(SUM(LN((rate/100)+1)))*100 | ||

FROM interest</source> | FROM interest</source> | ||

− | <div class="ecomm e- | + | <div class="ecomm e-sqlserver" style="display: none"></div> |

</div> | </div> | ||

{{Hacks Ref}} | {{Hacks Ref}} |

## Revision as of 10:37, 2 August 2012

Multiplying across a result set allows for interest rates to calculated correctly. In this example we get the interest after 4 years imagine over the 4 years we have rates 5%, 4%, 5% and 3% adding these rates to get 17% (£117) isn't correct instead the correct result is obtained differently.

```
DROP TABLE interest
```

```
CREATE TABLE interest(
yr INTEGER,
rate INTEGER );
INSERT INTO interest VALUES (2002,5);
INSERT INTO interest VALUES (2003,4);
INSERT INTO interest VALUES (2004,5);
INSERT INTO interest VALUES (2005,3);
```

We need to instead find the logarithm of the compound interest and then we need to sum that.

SELECT SUM(LN((rate/100)+1)) FROM interest

Then we inverse or take the exponent of the logarithm with

SELECT EXP(SUM(LN((rate/100)+1))) FROM interest

and then finally to get the amount after 4 years we times this amount by 100 (£100).

```
SELECT EXP(SUM(LN((rate/100)+1)))*100
FROM interest
```

Hack 10 Converting subqueries into joins

Hack 11 Converting aggregate subqueries into joins

Hack 16 Search for a String across columns

Hack 24 Multiply Across a Result Set

Hack 25.5 Splitting and combining columns

Hack 26 Include the rows your JOIN forgot

Hack 30 Calculate the maximum/minimum of two fields

Hack 33 Get values and subtotals in one shot

Hack 50 Combine tables containing different data

Hack 51/52 Display rows as columns

Hack 55 Import Someone Else's Data

Hack 62 Issue Queries Without Using a Table

Hack 63 Generate rows without tables

Hack 72 Extract a subset of the results

Hack 78 Break it down by Range

Hack 88 Test two values from a subquery