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:
Expected Net Cash Flow = $3.8 million
Net Present Value (NPV) = $1.0492 million
Explanation:
Given Cash outflow = $10 million
Provided cash inflows as follows:
Particulars Good condition Moderate condition Bad Condition
Probability 30% 40% 30%
Cash flow $9 million $4 million $1 million
Average expected cash flow each year = ($9 million X 30 %) + ($4 million X 40%) + ($1 million X 30%) = $2.7 million + $1.6 million + $0.3 million = $4.6 million
Three year expected cash flow = ($4.6 million each year X 3) - $10 million = $13.8 million - $10 million = $3.8 million
While calculating NPV we will use Present Value Annuity Factor (PVAF) @12% for 3 years =
NPV = PV of inflows - PV of Outflows = $4.6 million X 2.402 - $10 million = $11.0492 million - $10 million = $1.0492 million
Expected Net Cash Flow = $3.8 million
Net Present Value (NPV) = $1.0492 million