When allison researches 30-year fixed-interest bonds to invest in for retirement, she finds the coupons listed below. which bond is the least likely to be at risk of default? assume the bonds are the same in all respects except for their coupons. issuercoupon (% per annum)city of chicago, il5.00district of columbia5.25port authority of new york & new jersey4.25state of california5.75

The bond with the lowest probability of default risk is that of the Port Authority of New York and New Jersey, because it is the one that pays the least amount of interest. As is known, the greater the interest, the greater the risk, so in this case the amount of probability of reaching default is lower than in the other options.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.