Final answer:
The realized rate of return for an investor who purchased the bonds when they were issued and held them until they were called is 99.50%.
Step-by-step explanation:
The realized rate of return for an investor who purchased the bonds when they were issued and held them until they were called can be calculated as follows:
- Calculate the annual interest payment by multiplying the coupon rate by the par value of the bond. In this case, the annual interest payment is $150 ($1000 * 0.15).
- Calculate the total interest received over the holding period. Since the bond was held for 6 years, the total interest received is $900 ($150 * 6).
- Calculate the call premium by multiplying the par value of the bond by the call premium rate. In this case, the call premium is $90 ($1000 * 0.09).
- Add the total interest received and the call premium to the original investment to get the total return. In this case, the total return is $1990 ($1000 + $900 + $90).
- Calculate the realized rate of return by dividing the total return by the original investment and multiplying by 100 to convert to a percentage. In this case, the realized rate of return is 99.50%.