An analyst is looking at the minimum required default risk premium for a $1$ year, zero coupon corporate bond. He assumes that the total return on the corporate bond$(1+$ RB$)$ adjusted for the probability of default should equal the total return on the riskfree asset $(1+$ RF$).$

He estimates the probability of default for the corporate bond to be $0\mathrm{.}005$ over the next year, assuming that a default will result in a total loss of income and principal.

If the proxy for the riskfree rate is $2\%,$ the minimum default risk premium for the corporate bond is closest to: a$)1\mathrm{.}45\%$ b$)5\mathrm{.}1\%$ c$)\mathrm{.}51\%$