Question

In: Finance

Your brother offers you $75,000 today for a claim to your future inheritance of $500,000, twenty...

Your brother offers you $75,000 today for a claim to your future inheritance of $500,000, twenty years from today. If the discount rate is 10%, should you accept his offer?

Solutions

Expert Solution

Present value of $500,000 FV×(1÷(1+r)^n)
Here,
1 rate per annum 10.00%
2 Number of years                                            20
3 Number of compoundings per per annum                                              1
4 = 1÷3 rate per period ( r) 10.00%
5 = 2×3 Number of periods (n)                                            20
Future value (FV) $                       500,000.00
Present value of $500,000 $                         74,321.81
500000*(1/(1+10%)^20)

Offer should be accepted.


Related Solutions

You deposited $75,000 in your mutual fund account today. You make no more deposits into your...
You deposited $75,000 in your mutual fund account today. You make no more deposits into your account, but 10 years from today your mutual fund account balance is $200,000. What annually compounded rate of return have you earned on your mutual fund over this time period?
Your brother has offered to give you either $12,000 today or $20,000 in 13 years. If...
Your brother has offered to give you either $12,000 today or $20,000 in 13 years. If the interest rate is 9% per year, which option is preferable? A. Take the future amount because its present value is greated than the present amount offered B. Take the present amount offered because it is greater than the present value of the future amount C. Take the present amount offered because it is less than the future amount D. Take the future amount...
You are hoping to buy a house in the future and recently received an inheritance of...
You are hoping to buy a house in the future and recently received an inheritance of ​$20,000.You intend to use your inheritance as a down payment on your house. a.  If you put your inheritance in an account that earns 7 percent interest compounded​ annually, how many years will it be before your inheritance grows to ​$30,000​? b.  If you let your money grow for 10.25 years at 7 percent​, how much will you​ have? c.  How long will it...
You are hoping to buy a house in the future and recently received an inheritance of...
You are hoping to buy a house in the future and recently received an inheritance of 24,000. You intend to use your inheritance as a down payment on your house. a.  If you put your inheritance in an account that earns 9 percent interest compounded​ annually, how many years will it be before your inheritance grows to 31,000 b.  If you let your money grow for 10.25 years at 9 percent​, how much will you​ have? c.  How long will...
You are hoping to buy a house in the future and recently received an inheritance of...
You are hoping to buy a house in the future and recently received an inheritance of ​$24,000. You intend to use your inheritance as a down payment on your house. a) If you put your inheritance in an account that earns 9% interest compounded​ annually, how many years will it be before your inheritance grows to ​$33,000​? b) If you let your money grow for 9.5 years at 9%​, how much will you​ have? c) How long will it take...
  You are hoping to buy a house in the future and recently received an inheritance of...
  You are hoping to buy a house in the future and recently received an inheritance of ​$24,000. You intend to use your inheritance as a down payment on your house. a.  If you put your inheritance in an account that earns 9 percent interest compounded​ annually, how many years will it be before your inheritance grows to ​$31,000​? b.  If you let your money grow for 9.5 years at 9 percent​, how much will you​ have? c.  How long will...
You are hoping to buy a house in the future and recently received an inheritance of...
You are hoping to buy a house in the future and recently received an inheritance of ​$18,000. You intend to use your inheritance as a down payment on your house. a.  If you put your inheritance in an account that earns 9 percent interest compounded​ annually, how many years will it be before your inheritance grows to ​$31,000​? b.  If you let your money grow for 10.5 years at 9 percent​, how much will you​ have? c.  How long will...
You are hoping to buy a house in the future and recently received an inheritance of...
You are hoping to buy a house in the future and recently received an inheritance of ​$24,000. You intend to use your inheritance as a down payment on your house. a. If you put your inheritance in an account that earns 8 percent interest compounded​ annually, how many years will it be before your inheritance grows to ​$​30,000? b. If you let your money grow for 10.5 years at 8 percent​, how much will you​ have? c. How long will...
You are hoping to buy a house in the future and recently received an inheritance of...
You are hoping to buy a house in the future and recently received an inheritance of ​$20 000. You intend to use your inheritance as a down payment on your house. a.  If you put your inheritance in an account that earns 8 percent interest compounded​ annually, how many years will it be before your inheritance grows to ​$33 000​? b.  If you let your money grow for 10.25 years at 8 percent​, how much will you​ have? c.  How...
You are hoping to buy a house in the future and recently received an inheritance of...
You are hoping to buy a house in the future and recently received an inheritance of ​$16,000 You intend to use your inheritance as a down payment on your house. 1. If you put your inheritance in an account that earns 7 percent interest compounded​ annually, how many years will it be before your inheritance grows to $34,000? 2.If you let your money grow for 10 years at 7 percent how much will you​ have? 3.How long will it take...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT