You find a zero coupon bond with a par value of $10,000 and 19 years to maturity. The yield to maturity on this bond is 4.7 perc
ent. Assume semiannual compounding periods. What is the price of the bond
1 answer:
Answer:
$4,136.77
Explanation:
In this question, we use the present value formula which is shown in the attachment below:
Given that,
Future value = $10,000
Rate of interest = 4.7% ÷ 2 = 2.35
NPER = 19 years × 2 = 38 years
PMT = $0
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
After solving this, the price of the bond is $4,136.77
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Answer:
The answer is $86,167.57 (to 2 decimal places)
Explanation:
In this question, we are to calculate the present value of a certain amount that is compounded semiannually, and after 10 years, yields a future value of $200,000. To calculate this, we will use the formula for calculating present value as follows:
PV = FV ÷
where:
PV = present value = ???
FV = future value = $200,000
r = interest rate in decimal = 8.6% = 0.086
n = compounding period pr year = semiannually = 2
t = time of compounding in years = 10
Therefore,
PV = 200,000 ÷
PV = 200,000 ÷ = $86,167.57