Glenn wants to borrow money from Joe and promises repay $10,000 in 2 years. What is the most Joe would be willing to lend if his required return is 20 percent?
Joe has a required return of 20%. He will be willing to | |||||
lend an amount that grows to 10000 in 2 years at an interest | |||||
rate of 20%. | |||||
Future Value = Present Value*((1+r)^t) | |||||
where r is the interest rate that is 20% and t is the time period in years that is 2. | |||||
Future value | 10000 | ||||
10000 | Present value*((1.20)^2) | ||||
10000 | Present value*(1.44) | ||||
Present value | 10000/(1.44) | ||||
Present value | 6944.44 | ||||
If Joe lends $6944.44 to Glenn, and she returns $10000 in 2 | |||||
years that will satisfy Joe's required return of 20%. | |||||
Joe cannot lend more than $6944.44 because then he will | |||||
need a bigger amount than $10000 to satisfy his required return of 20%. | |||||
The most Joe would be willing to lend is $6944.44. |
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