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To pay for college, you have just taken out a $1,000 government loan that makes you pay $126 per year for 25 years. However, you dont have to start making these payments until you graduate from college two years from now. Why is the yield to maturity necessarily less than 12%, the yield to maturity on a normal $1,000 fixed-payment loan in which you pay $126 per year for 25 years?
If the interest rate were 12 percent, the present discounted value of the payments on the government loan are necessarily less than the $1,000 loan amount because they do not start for two years. Thus the yield to maturity must be lower than 12…

percent in order for the present discounted value of these payments to add up to $1,000.In other words it is so because the first payment is due in the future date.



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