Respuesta :
Answer:
a. 4.89%
b. 5.23%
Explanation:
We use the rate formula which is shown in the attached spreadsheet
Given that,
Present value = $2,000 × 108.96% = $2,179.20
Future value or Face value = $2,000
PMT = $2,000 × 5.7% ÷ 2 = $57
NPER = 16 years × 2 = 32 years
The formula is shown below:
= Rate(NPER;PMT;-PV;FV;type)
The present value come in negative
So, after solving this,
a. The yield to maturity of the bond is 4.89%
b. The current yield would be
= 57 × 2 ÷ $2,179.20
= 5.23%

a) When The yield to maturity of the bond is= 4.89%
b) After that The current yield is = 5.23%
Calculation of Maturity of the bond
Now We are using the rate formula are:
Given that as per question:
Now The Present value is = $2,000 × 108.96% = $2,179.20
Then The Future value or Face value is = $2,000
Then PMT is = $2,000 × 5.7% ÷ 2 = $57
Now NPER is = 16 years × 2 = 32 years
Then The formula is shown below:
That is, = Rate(NPER;PMT;-PV;FV;type)
Then The present value come in negative
a. Hence, The yield to maturity of the bond is 4.89%
b. Thus, The current yield would be
= 57 × 2 ÷ $2,179.20
= 5.23%
Find more information about Maturity of the bond here:
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