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ID: 2659647 • Letter: #

Question

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3E

Explanation / Answer

a) A Corporation is issuing 10-year zero-coupon bonds. How much should you pay for these bonds with a maturity value of $150,000 if you wish to get a return of 7.8% compounded semiannually. (Round to the nearest dollar.)


Payment for these bond = 150000/(1+ 0.078/2)^(2*10) = $ 69,788


b) If Brazil has an annual inflation rate of 1,132% and an item will cost 125,000 cruzados in 5 years, what does that same item cost now?

Item Will Cost now = 125000/(1.01132)^5 = $ 118159.06


c) How much would need to be invested at 4.25% annual simple interest to amount to $6,510 in 6 years?

Investment Amount = 6510/(1+ 0.0425*6) = $ 5187.25


d) How much should we deposit now into an account earning 5.6% interest per year, compounded monthly so that starting one month from now the bank will send us monthly payments of $250 for 5 years? At the end of the five years, the account balance should be depleted to zero. (Round to the nearest cent.)

Fv= 0 , PMT = 250,nper = 5*12 = 60 , rate = 5.6/12 = 0.466667%

Deposit Amount = pv(rate,nper,pmt,fv)

Deposit Amount = pv(0.4666667%,60,250,0)

Deposit Amount = $ 13,056.63