What is the cash flow of a 10-year bond that pays coupon interest semiannually, has a coupon rate of 7%, and has a par value of $100,000?

Respuesta :

Answer:

$170,000

Explanation:

Given:

Amount = $100,000

Interest rate = 7% annually = 7/2 % = 3.5% (semi-annually)

Number of cash flow = 10 year = 10 x 2 = 20 (semi-annually)

Computation :

Cash flow per semi annually = ($100,000 x 3.5) / (100)

                = $350,000 / 100

                = $3,500

Cash flow for (1 - 19) semi-annual  = 3500 x 19 = 66,500

Cash flow for (20th) semi-annual = $100,000 + $3500 = $103,500

Total cash flow = $66,500 + $103,500

                         = $170,000

The cash flow of a 10-year bond that pays coupon interest semiannually is :

Given Information:

Amount = $100,000

  • Interest rate = 7% annually
  • Interest rate = 7/2 % = 3.5% (semi-annually)

Number of cash flow = 10 year = 10 x 2 = 20 (semi-annually)

  • Cash flow per semi annually = ($100,000 x 3.5) / (100)
  • Cash flow per semi annually = $350,000 / 100
  • Cash flow per semi annually = $3,500

Cash flow for (1 - 19) semi-annual  = 3500 x 19

  • Cash flow for (1 - 19) semi-annual  = 66,500

Cash flow for (20th) semi-annual = $100,000 + $3500

  • Cash flow for (20th) semi-annual = $103,500

Total cash flow = $66,500 + $103,500

Total cash flow    = $170,000

The cash flow of a 10-year bond that pays coupon interest semiannually is $170,000.

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