What is the yield to maturity (YTM) on a simple loan for $1,000 that requires a repayment of $2,000 in five years' time? The yield to maturity is . (Round your response to one decimal place.)

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Chapter1: Making Economics Decisions
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**Question:**

What is the yield to maturity (YTM) on a simple loan for $1,000 that requires a repayment of $2,000 in five years’ time?

**Response:**

The yield to maturity is ___%. (Round your response to one decimal place.)

**Explanation:**

This question asks for the yield to maturity (YTM) on a simple loan. Yield to maturity is a financial concept used to determine the annual return on a bond or loan if it is held until it matures. In this case, the initial loan amount is $1,000, and the repayment amount is $2,000 after five years. The YTM is calculated as the interest rate that equates the present value of the repayment to the original loan amount. This would typically require solving for the rate \( r \) in the formula: 

\[ 1000 = \frac{2000}{(1 + r)^5} \]

Solving for \( r \) gives the YTM.
Transcribed Image Text:**Question:** What is the yield to maturity (YTM) on a simple loan for $1,000 that requires a repayment of $2,000 in five years’ time? **Response:** The yield to maturity is ___%. (Round your response to one decimal place.) **Explanation:** This question asks for the yield to maturity (YTM) on a simple loan. Yield to maturity is a financial concept used to determine the annual return on a bond or loan if it is held until it matures. In this case, the initial loan amount is $1,000, and the repayment amount is $2,000 after five years. The YTM is calculated as the interest rate that equates the present value of the repayment to the original loan amount. This would typically require solving for the rate \( r \) in the formula: \[ 1000 = \frac{2000}{(1 + r)^5} \] Solving for \( r \) gives the YTM.
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