Answer: $3,580.30 (converted to 2decimal places).
Antwone need to deposit " $3,580.30008” into the account each semi-annual period in order to take his vacation in 2 years
Explanation:
By using compound interest formula below to solve the question
A = p ( 1 + r/n)^nt
A = amount (future value)= $3,800
P = principal (present value) ?
r = annual nominal rate = 3%= 0.03
n = today number of compounding years = semiannually (2 interest payments period in a year) = 2
t = time in years =2
3,800 = p ( 1 + 0.03/2)^2(2)
3,800 = p ( 1 + 0.015 )^4
3,800 = p ( 1.015 ) ^4
3,800 = 1.06136355 p
divide both sides by 1.06136355
p = 3,800 / 1.06136355
p = $3,580.30008
≈$3,580.30 ( rounded off to 2d.p)
Answer:
The certificate of deposit be worth $338496.8 at the end of five years if interest is compounded at an annual rate of 9%
Explanation:
Certificate of deposit of 220000 after 5 years @ 9% is calculated as below
As per the Present and future value tables of $1 at 9% presented
FVA of $ 1 after 5 years is 5.9847 and
PVA of $ 1 after 5 years is 3.88965
PV of 220000 will become = 220000*5.9847/3.88965
= $338496.8
Therefore, The certificate of deposit be worth $338496.8 at the end of five years if interest is compounded at an annual rate of 9%
Answer:
rounding to two decimal places: 11.11%
Explanation:
we can se the approximate formula for YTM
C= 57.5 (1,000 x 11.5%/2)
Face value = 1000
P= 1050 (market value)
n= 24 (12 years x 2 payment per year)
semiannual YTM = 5.4065041%
This is a semiannual rate as we consider semiannula payment.
We need to convert into annual rate:

YTM 11.1053109921343000%
rounding to two decimal places: 11.11%
Answer:
$(94,179)
Explanation:
Particulars Year 0 Year 1 Year 2
Cash flows ($1,500,000) A$1,000,000 A$2,000,000
DCF 14% 1 0.8772 0.7695
Present Values 1500,000 A$877,200 A$ 1,538,935
Conversion 1 0.55 0.60
P V in US$ (1,500,000) 482,460 923,361
Therefore Net Present Value = 482,460 +923,361 - 1,500,000 = $(94,179)