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Calculate Payback Period for Solar and Corn Projects

Last updated: Mar 29, 2026

Quick Overview

This question evaluates financial analysis and unit-economics skills by requiring computation of simple payback periods for renewable energy projects, testing understanding of payback metrics, variable costs, revenue per unit, and comparative project economics.

  • medium
  • Capital One
  • Analytics & Experimentation
  • Data Scientist

Calculate Payback Period for Solar and Corn Projects

Company: Capital One

Role: Data Scientist

Category: Analytics & Experimentation

Difficulty: medium

Interview Round: Technical Screen

##### Scenario Energy One must choose between two renewable projects. Solar: upfront $12.5 M, VC $0, production 75 % of the year at 150,000 units and 25 % at 50,000 units, price $40/unit. Corn bio-power: upfront $2.5 M, VC $30/unit, constant output, price $40/unit. ##### Question a) Calculate the payback period (years until cumulative profit equals initial investment) for the solar project. b) Do the same for the corn project. c) Which project should Energy One pursue and why? ##### Hints Annual profit = revenue − variable cost. Use production profile for solar, constant for corn. Payback = initial investment / annual profit; compare results plus qualitative factors.

Quick Answer: This question evaluates financial analysis and unit-economics skills by requiring computation of simple payback periods for renewable energy projects, testing understanding of payback metrics, variable costs, revenue per unit, and comparative project economics.

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Capital One
Jul 12, 2025, 6:59 PM
Data Scientist
Technical Screen
Analytics & Experimentation
87
0

Renewable Projects: Payback Period Comparison

Context

You are comparing two energy projects using a simple payback metric (years until cumulative profit equals the upfront investment). Assume:

  • Ignore discounting, taxes, depreciation, and fixed O&M; only variable costs matter.
  • "Units" refer to energy units sold at the stated price.
  • Solar has variable cost (VC) = $0 per unit.
  • Corn bio-power has VC = $30 per unit and constant output.
  • The corn plant's annual output level is not specified; compute its payback as a function of its annual units produced (Qc). If a specific Qc is provided (e.g., 150,000 units/year), plug it in.

Given

  • Solar project: upfront 12.5M;produces7512.5M; produces 75% of the year at 150,000 units (rate) and 25% at 50,000 units (rate); price = 12.5M;produces75 40/unit; VC = $0/unit.
  • Corn bio-power project: upfront 2.5M;constantoutput(Qcunits/year);price=2.5M; constant output (Qc units/year); price = 2.5M;constantoutput(Qcunits/year);price= 40/unit; VC = $30/unit.

Tasks

(a) Compute the payback period for the solar project.

(b) Compute the payback period for the corn project (as a function of Qc, and also give a numeric example for Qc = 150,000 units/year).

(c) Based on payback, which project should be chosen and why? State any conditions on Qc that affect the decision.

Solution

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