Joe McCain purchased 5 $1,000 bonds at 89. The bonds pay 6%. What was the cost of the bonds? What was the total annual interest? What is the yield?

Respuesta :

1,000×0.89=890
1,000×0.06=60
60÷890=0.0674*100=6.74%

Answer:

The cost of  5 bonds $1,000 purchased by Joe McCain is at 89%.

it means cost of 5 bond each having cost $ 1,000 is ,

[tex]=\frac{89}{100}\times 1,000\\\\=890[/tex]

Cost of 5 bonds which were $ 1,000 is available at $890.

Cost of one bond  

               [tex]=\frac{890}{5}=178[/tex]

Cost of  one bond =$ 178

Bond pays 6% interest.

Interest on one bond

          [tex]=178 +178\times\frac{6}{100}\\\\=178 \times \frac{106}{100}\\\\=178 \times 1.06=188.68[/tex]

Interest = 188.68 - 178=$ 10.68

So, total interest on 5 bonds = 5 × 10.68=$53.40

It can be either monthly or yearly , as it is only written that bond pays 6%.

The Yield is given as,

there is no commission, no closing price

[tex]=\frac{\text{Interest income}}{\text{Bond investment}}\times 100\\\\=\frac{53.40}{890}\times 100\\\\=\frac{534}{89}\\\\=6[/tex]

So,yield is equal to interest paid by the bond=6%