That question in the cfa book that I do not get it’s answer;
Samuel & Sons is a fixed-income specialty firm that offers advisory services to investment management companies. On 1 October 20X0, Steele Ferguson, a senior analyst at Samuel, is reviewing three fixed-rate bonds issued by a local firm, Pro Star, Inc. The three bonds, whose characteristics are given in Exhibit 1, carry the highest credit rating.
Exhibit 1. Fixed-Rate Bonds Issued by Pro Star, Inc.
Bond
Maturity
Coupon
Type of Bond
Bond #1
1 October 20X3
4.40% annual
Option-free
Bond #2
1 October 20X3
4.40% annual
Callable at par on 1 October 20X1 and on 1 October 20X2
Bond #3
1 October 20X3
4.40% annual
Putable at par on 1 October 20X1 and on 1 October 20X2
A fall in interest rates would most likely result in:
a decrease in the effective duration of Bond #3.
Bond #3 having more upside potential than Bond #2.
a change in the effective convexity of Bond #3 from positive to negative.
B is correct. A fall in interest rates results in a rise in bond values. For a callable bond such as Bond #2, the upside potential is capped because the issuer is more likely to call the bond. In contrast, the upside potential for a putable bond such as Bond #3 is uncapped. Thus, a fall in interest rates would result in a putable bond having more upside potential than an otherwise identical callable bond. Note that A is incorrect because the effective duration of a putable bond increases, not decreases, with a fall in interest rates—the bond is less likely to be put and thus behaves more like an option-free bond. C is also incorrect because the effective convexity of a putable bond is always positive. It is the effective convexity of a callable bond that will change from positive to negative if interest rates fall and the call option is near the money.
I do not get the bolded statement, as far as I understand, when u call an option, you have an uncapped upside potential where you gain the difference between the market price-call price - the premium paid. For the putable option I do not get where is the upside potential in case the price increases, should not the option buyer losses??