Excel: Compounding matrix generation with array inputs

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Task: To output an array of scalar products based on input array of boolean values and scalars.

Requirements: The solution needs to be formulaic (i.e. contained in one cell) and done without the use of VBA -> the solution needs to be dynamic to accommodate different input arrays.

Input array A (Boolean values)

>= 2023 2024 2025 2026
2023 1 0 0 0
2024 1 1 0 0
2025 1 1 1 0
2026 1 1 1 1

Input array B (Scalar values)

2023 2024 2025 2026
1.25 1 1.2 1.05
1.35 1.1 1 1.2
1.25 1.15 1.05 1.05
1.3 1 1.1 1.15
1.25 1.1 1.4 1.35

Output array (Compounded scalars)

2023 2024 2025 2026
1.25 1.25 1.5 1.575
1.35 1.485 1.485 1.782
1.25 1.4375 1.509375 1.58484375
1.3 1.3 1.43 1.6445
1.25 1.375 1.925 2.59875

In practice: the columns of Output array are comprised of row-wise products of the Input array B. For example the first column is only the 2023 scalars, but the third is 2023 * 2024 * 2025 on each row (i.e. 1.25 * 1 * 1.2, for the first value of the third column). As such, the Output array has the same amout of columns as Input array B, with each column's values being a product of the current and the preceding columns of Input array B.

Note: The format of Input array A is irrelevant in the sense that the boolean values just need to indicate which elements of a particular row are multiplied together -> the array can be changed if needed, but Input array B should remain as provided.

Bruteforce solution: This task can be completed with MAKEARRAY() but it becomes exceedingly inefficient when Input array B has thousands of rows.

Solution found:

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