Asked by Nikolaos Filaretos on May 01, 2024

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Albert purchased Bonzo's car for $500 cash and a non-interest bearing promissory note for $2,000 payable in two years. How much money can Bonzo expect to receive for the note if he immediately sells it to Corleone Finance Company at a discount rate of 30% compounded monthly?

A) $383
B) $2,616
C) $1,617
D) $1,400
E) $1,106

Non-interest Bearing

A financial term indicating a debt or deposit that does not accrue interest over time, identical in concept to its prior mention but explained with different wording.

Compounded Monthly

A method of calculating interest where the interest earned each month is added to the principal, compounding the amount on which future interest is calculated.

  • Determine the income realized by selling financial securities, adjusted for a predetermined discount.
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makinzy murrellMay 01, 2024
Final Answer :
E
Explanation :
To determine the present value of the $2,000 note that Bonzo sells to Corleone Finance Company, we use the formula for the present value of a single future amount: PV=FV(1+r)nPV = \frac{FV}{(1 + r)^n}PV=(1+r)nFV , where PV is the present value, FV is the future value ($2,000), r is the monthly interest rate (30% annual rate compounded monthly gives a monthly rate of 30%/12=2.5%30\% / 12 = 2.5\%30%/12=2.5% , or 0.025 as a decimal), and n is the total number of compounding periods (2 years * 12 months/year = 24 months).Substituting the values, we get: PV=2000(1+0.025)24PV = \frac{2000}{(1 + 0.025)^{24}}PV=(1+0.025)242000PV=2000(1.025)24PV = \frac{2000}{(1.025)^{24}}PV=(1.025)242000PV=20001.8061PV = \frac{2000}{1.8061}PV=1.80612000 (rounded off) PV=1106PV = 1106PV=1106 (rounded to the nearest dollar)Therefore, Bonzo can expect to receive $1,106 for the note if he sells it immediately to Corleone Finance Company.