Question

In: Finance

In December Beth bought a boat for $100,000 & payed $16,000 down & agreed to pay...

In December Beth bought a boat for $100,000 & payed $16,000 down & agreed to pay the balance In 5 equal annual installments that include both the principal & 9% interest on the declining balance. How big will the annual payments be?

Beth bought the yacht for $100,000 & paid $16,000 down, how much doe she need to borrow for her purchase of the yacht?

$__ (round to the nearest dollar)

Solutions

Expert Solution

1. Annual payments be := $21595/-

Working Note

This sum can be calculated using time value of money concept using following formula.

  Equated annual installment           = Loan amount/ PVIFA(r ,n)

                                                = 84000 / PVIFA(9%,5)

                                                            = 84000 / 3.890

                                                            = $21595/-

Note : PVIFA has been seen from Present value of annuity table using rate 9% and n=5 used for calculating time value of money.

Loan amount = Cost of Boat -Down Payment

= $100000-$16000 =$84000

2. beth needs to borrow following amount based below mention on loan Amortisation schedule:

Year Beginning
Amount
Annual
Installment
Interest Principal
Repaid
Remaining Balance
1 84000 21595 7560 14035 69965
2 69965 21595 6297 15298 54667
3 54667 21595 4920 16675 37992
4 37992 21595 3419 18176 19816
5 19816 21595 1783 19812 5
Total 23980 83995

Amount needs to borrow = &84000+$23980 =$107980

Note: Most of financial institutions allow borrowings upto 85% of loan amount depends on institutes loan policy they may also allow to borrow processing fees too.


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