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# Saving for the Future - Coursework Example

## Summary

The asset I would like to purchase over the next five years is the car with model number 341W which is a 1967 Corvette Convertible with two tops, Red paint combined with Black stinger, interior and soft top (ProTeam Classic Corvette Sales, 2012). It has a GM manufactured nose and an engine, Trans and rear end that match exactly with the rest (ProTeam Classic Corvette Sales, 2012)…
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However, owing to the notion of time value of money, the buyer would be required to save an amount different from that of $25,000. Taking the 5 year interest rate of 0.78% (U.S Department of The Treasury, 2012), the saving required annually amounts to the future value of an annuity (ordinary) assuming that $125,000 will be required after 5 years. This amounts to: 125,000= C* {(1.0078^5)-1/0.0078} = $24,613.03 Where: C= unknown i= 0.78% n=5 This is based on the following formula: FV (annuity) = C * {[(1+i) ^n – 1] / i} (Brigham & Houston, 2011) Where: C = Cash flow per period i = interest rate n = number of payments Two factors highly influence the future value of the cash flows calculated today; firstly, the periods for which they are calculated and, secondly, the rates at which they are calculated (Brigham & Houston, 2011). In both cases, the future value of the savings today is directly related to the interest rate and period. Higher the interest rate or period at which cash flows are calculated, greater the amount of future value of the investments made at T=0 (Brigham & Houston, 2011). Furthermore, the fact that whether savings are made at the beginning or end of a particular period, as well as the number of compounding periods also matters (Brigham & Houston, 2011). ...

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