Suppose you purchased the following $20-$year bonds today at $$1,000$ each with a $10\%$ coupon rate. Suppose interest rates are currently $10\%$ but rise to $20\%$ at the end of the year. Which bond will have the lowest rate of return at the end of the year?

Bond with $10$ more years until maturity

Bond that matures at the end of the year

Bond with $5$ more years until maturity

Bond with $20$ more years until maturity