Answer:
Present value= $3,642,651.54
Explanation:
Giving the following information:
You have just won the lottery and will receive $530,000 in one year. You will receive payments for 25 years, and the payments will increase by 4 percent per year. The appropriate discount rate is 10 percent.
First, we need to calculate the final value using the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual payment= 530,000
i= 0.04 + 0.10= 0.14
n= 25
FV= {530,000*[(1.14^25)-1]}/0.14
FV= 96,391,538.43
Now, we can calculate the present value:
PV= FV/(1+i)^n
PV= 96,391,538.43/ (1.14^25)
PV= $3,642,651.54
Answer:
Sam change: -5.13%
Dave change -18.01%
Explanation:
If interest rate increase by 2%
then the YTM of the bond will be 9.3%
We need eto calcualte the present value of the coupon and maturity of the bond at this new rate:
<em><u>For the coupon payment we use the formula for ordinary annuity</u></em>
Coupon payment: 1,000 x 7.3% / 2 payment per year: 36.50
time 6 (3 years x 2 payment per year)
YTM seiannual: 0.0465 (9.3% annual /2 = 4.65% semiannual)
PV $187.3546
<u><em>For the maturity we calculate usign the lump sum formula:</em></u>
Maturity: $ 1,000.00
time: 6 payment
rate: 0.0465
PV 761.32
Now, we add both together:
PV coupon $187.3546 + PV maturity $761.3154 = $948.6700
now we calcualte the change in percentage:
948.67/1,000 - 1 = -0.051330026 = -5.13
For Dave we do the same:
C 36.50
time 40
rate 0.0465
PV $657.5166
Maturity 1,000.00
time 40.00
rate 0.0465
PV 162.34
PV c $657.5166
PV m $162.3419
Total $819.8585
Change:
819.86 / 1,000 - 1 = -0.180141521 = -18.01%
Answer:
a. background check
Explanation:
thats what they do when they're looking into your history
Answer:
$2,850
Explanation:
Given the following :
Face value of security = $100,000
Carrying value = $95,000
Effective interest rate = 6%
Interest paid semianually = $2500
The effective interest revenue recognized for the six months ended December 31, 2018 is:
IF effective interest rate = 6%
Semiannual interest = 6% / 2 = 3%
Therefore effective interest revenue for six months will be the product of the carrying value and the interest rate within the six months period :
3% = 0.03
0.03 * $95,000 = $2,850