In most cases for this type of questions you would have to use a calculator, since this is not a value that can be approximated. Do you have an inverse normal function on your graphical calculator?
Answer:
I will be willing to pay $1,106 for a vanguard bond.
Explanation:
Coupon payment = Par value x Coupon rate
Coupon payment = $1,000 x 8%
Coupon payment = = $80
Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula:
Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]
Price of the Bond =$80 x [ ( 1 - ( 1 + 7% )^-20 ) / 7% ] + [ $1,000 / ( 1 + 7% )^20 ]
Price of the Bond = $80 x [ ( 1 - ( 1.07 )^-20 ) / 0.07 ] + [ $1,000 / ( 1.07 )^20 ]
Price of the Bond = $848 + $258
Price of the Bond = $1,106
Answer:
$6.25 per ton of coal
Explanation:
the depletion base = purchase cost + restoration costs
- purchase cost = $20 million
- restoration costs = $6 million
depletion base = $26,000,000
depletion rate per ton of coal = (depletion base - salvage value) / estimated reserves = ($26,000,000 - $1,000,000) / 4,000,000 = $6.25 per ton of coal
The depletion rate follows the same concepts as depreciation of fixed assets, but instead of using a fixed asset, you are extracting materials and decreasing the value of the deposits.
