Calculate the 'insurance premium' you pay for interest rate certainty.
After years, you will have more remaining debt in Scenario B compared to direct repayment.
The future market interest rate needed for both scenarios to cost exactly the same over 30 years.
This chart shows how the future market interest rate (X-axis) in year 11 affects the total cost (Y-axis) of both scenarios.
This scenario simulates a standard annuity loan. Every monthly payment is split into interest and principal. Because the principal is reduced every month, the interest portion decreases and the repayment portion increases over time.
In this model, the loan principal is NOT reduced during the fixed period. Instead, only interest is paid on the full amount, and the remaining budget is saved into a Bauspar contract.
Premium Paid (Debt Gap): This is the mathematical 'cost of certainty'. Because you don't repay the loan directly in Scenario B, you lose the 'saved interest' on that principal. This leads to a higher remaining debt after 10 years. We display this as the 'Premium' you pay to secure a future interest rate today.
Lifetime Break-Even: We use a binary search algorithm to find the exact future market rate where the higher debt in Scenario B is perfectly compensated by the guaranteed lower interest rate over the full 30-year term. If you expect future rates to be higher than this value, the Bauspar model is mathematically superior.