Savings Planning: Reaching Your Financial Goals
Whether saving for a house deposit, an emergency fund, or retirement, the mathematics of savings is straightforward: your goal, current savings, regular contribution, and interest rate determine how long it will take and how much you need to set aside each month.
Future Value of Regular Contributions (Annuity)
FV = PMT × [(1+r)ⁿ − 1] ÷ r
PMT = monthly contribution
r = monthly rate (annual rate ÷ 12)
n = number of months
Example: £300/month at 4% for 5 years
r = 0.04÷12 = 0.003333
n = 60
FV = 300 × [(1.003333)⁶⁰ − 1] ÷ 0.003333 = £19,819
Total contributed: £18,000 | Interest earned: £1,819
Required Monthly Savings to Hit a Goal
PMT = FV × r ÷ [(1+r)ⁿ − 1]
Example: Need £20,000 in 5 years at 4%:
PMT = 20,000 × 0.003333 ÷ [(1.003333)⁶⁰ − 1] = £302.50/month
The Effect of Starting Earlier
- Save £200/month from age 25 at 6%: £400,290 at 65
- Save £200/month from age 35 at 6%: £201,908 at 65
- Starting 10 years earlier nearly doubles the outcome on the same monthly input
Inflation Adjustment
If your savings rate is 4% and inflation is 3%, your real return is approximately 1%. For long-term goals, always model in real (inflation-adjusted) terms to avoid overestimating your future purchasing power.
Plan your savings goal: Free Savings Calculator