Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

The problem describes a firm with a cost of capital of 13.5% evaluating three capital projects with ...

Financial MathematicsInvestment AppraisalInternal Rate of Return (IRR)Cost of CapitalDecision Making
2025/7/8

The problem asks us to find the value of Patrick's stock, given the company's free cash flow, requir...

FinanceValuationFree Cash FlowPerpetuityEquity ValueStock Valuation
2025/7/8

The problem describes Zebra Inc., which expects to generate free cash flow of $460,000 per year fore...

Financial ModelingValuationPerpetuityFree Cash FlowCost of Capital
2025/7/8

The problem asks us to calculate the value of the firm and the value of common stock per share, give...

Financial ModelingValuationFree Cash FlowPerpetuityCost of Capital
2025/7/8

The problem provides financial information about Skyworth, including its capital structure, bond det...

Financial MathematicsCost of CapitalWeighted Average Cost of CapitalGordon Growth ModelFinance
2025/7/8

The problem states that Swift Company has total assets of $60 million, total liabilities of $45 mill...

Financial MathematicsEarnings Per Share (EPS)Price-to-Earnings Ratio (P/E Ratio)Stock Valuation
2025/7/8

A firm pays a dividend of $1.20 per share in perpetuity with a zero growth rate. The required return...

Financial MathematicsValuationPerpetuityStock Valuation
2025/7/8

The problem describes a company, Skyworth, that is raising funds through debt and equity. We are giv...

Financial ModelingCost of CapitalWeighted Average Cost of Capital (WACC)Dividend Discount Model (DDM)Cost of DebtCost of EquityCorporate Finance
2025/7/8

The problem provides information about Sheng, Inc.'s stock and financial data. The questions ask for...

Financial MathematicsStock ValuationBook ValueLiquidation ValueMarket Value
2025/7/8

We are given a portfolio of $50,000 containing assets R, J, and K. $25,000 is invested in asset R wi...

Financial MathematicsPortfolio AnalysisPercentage CalculationReturn on Investment
2025/7/8