Math Problem Statement
Consider a coupon bond with a face and redemption value of $100 and a coupon r ate of 10% per annum payable semiannually and a yield to maturity of 10% per annum compounded semiannually (whence a price of $100). a. Betty’s bond has a term of 8 years. Her yield decreases from 10% to 9% per annum compounded semiannually. Find the new price. What is the percentage change?
New price ____________ Percent Change ___________
Solution
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Math Problem Analysis
Mathematical Concepts
Bond Pricing
Time Value of Money
Interest Rates
Yield to Maturity
Formulas
Coupon Payment = Face Value * Coupon Rate / Payments per Year
Bond Price = Σ (Coupon Payment / (1 + Semiannual Yield)^t) + (Face Value / (1 + Semiannual Yield)^n)
Percentage Change = (New Price - Old Price) / Old Price * 100
Theorems
Present Value Theorem
Discounted Cash Flow
Suitable Grade Level
University Level (Finance, Economics)
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