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Letts commercial paper is presently selling at a discount. It sells for 98.35 of par and matures in 120 days. (Use 365 days
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Answer #1

Face Value = $100
Current Price = $98.35
Days to Maturity = 120 days

Answer a.

Yield to Maturity = [(Face Value - Current Price) / Current Price] * [365 / Days to Maturity]
Yield to Maturity = [($100 - $98.35) / $98.35] * [365 / 120]
Yield to Maturity = 0.016777 * 3.041667
Yield to Maturity = 0.0510 or 5.10%

Answer b.

Effective Annual Yield = [1 + (Face Value - Current Price) / Current Price]^(365 / Days to Maturity) - 1
Effective Annual Yield = [1 + ($100 - $98.35) / $98.35]^(365 / 120) - 1
Effective Annual Yield = 1.016777^3.041667 - 1
Effective Annual Yield = 1.0519 - 1
Effective Annual Yield = 0.0519 or 5.19%

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