For principal amounts of $5000 to $49,999, a bank pays an interest rate of 0.65% on 180-to-269-day non-redeemable GICs, and 0.70% on 270-to-364-day non-redeemable GICs. Ranjit has $10,000 to invest for 364 days. Because he thinks interest rates will be higher six months from now, he is debating whether to choose a 182-day GIC now (and reinvest its maturity value

Chapter 7, Exercises 7.1 #12

For principal amounts of $5000 to $49,999, a bank pays an interest rate of 0.65% on 180-to-269-day non-redeemable GICs, and 0.70% on 270-to-364-day non-redeemable GICs. Ranjit has $10,000 to invest for 364 days. Because he thinks interest rates will be higher six months from now, he is debating whether to choose a 182-day GIC now (and reinvest its maturity value in another 182-day GIC) or choose a 364-day GIC today. What would the interest rate on 182-day GICs have to be on the reinvestment date for both alternatives to yield the same maturity value 364 days from now?