Find the EAR in each of the following cases (Use 365 days a year. Do not round intermediate calculations and enter your answers
1 answer:
Answer and Explanation:
The computation of the effective annual rate in each of the following cases are
1.
Effective annual rate = [(1+annual percentage rate ÷ period)^period]- 1
= (1 +0 .09 ÷ 4)^4 - 1
= 9.31%
2.
Effective annual rate = [(1+annual percentage rate ÷ period)^period]- 1
= (1 + 0.16 ÷ 12)^12-1
= 17.23%
3.
Effective annual rate = [(1+annual percentage rate ÷ period)^period]- 1
= (1 + 0.12 ÷ 365)^365-1
= 12.75%
4 .
Effective annual rate = [(e)^Annual percentage rate]-1
e=2.71828
So,
=[(2.71828)^0.11]-1
= 11.63%
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Answer:
a) Pre-tax cost of debt is 8.45%
b) After tax cost of debt is 5.07%
Explanation:
a) Given:
Debt issue outstanding = $15.5 million
Semi-annual coupon rate = 0.063 / 2 = 0.0315
Assumed par value (FV) = $1,000
Coupon payment (pmt) = 0.0315 × 1000 = $31.5
Current bond price (PV) = 92% of $1,000 = $920
Time period (nper) = 5 × 2 = 10 periods
Calculate semi-annual rate using spreadsheet function =Rate(nper,pmt,PV,FV)
Semi-annual rate = 4.14%
Pmt and FV are negative as they are cash outflows.
YTM = 4.14 × 2 = 8.28%
Effective annual rate =
=
= 0.0845 or 8.45%
b) Tax rate is 40%
After tax cost of debt = Pre tax cost of debt × (1 - 0.4)
= 0.0845 × 0.6
= 0.0507 or 5.07%
Answer:
1. 32.68%
2 .C. Two years
Explanation:
1. Using Excel or a scientific calculator, you can calculate the IRR which is the discount rate that makes the Net Present Value to equal $0.
= IRR(-2100000,1200000,1200000,1200000)
= 32.68%
2. The Payback period is how long it takes for the cash inflows to pay off the original investment.
Original Investment = -$2,000
After year 1 = -2,000 + 600 = -$1,400
After year 2 = -1,400 + 1,400 = $0
It took 2 years to payback the original investment so Two years is the Payback period.
