Answer:
C. 95380 equivalent units
Explanation:
Equivalent units is the term used for proportionately equally completed units. This is basically used for allocation of overheads.
Here, actually completed that is 100% complete units = 85,500 units
Further units under work in process = 49,400
Which are 20% complete.
This means that incomplete 49,400 units = 49,400 20% = 9,880 units 100% complete
Thus, total equivalent units = 85,500 + 9,880 = 95,380 units.
To find the change in the price of the bonds, first need to find the price of individual Bond.
Bond Price is directly related to the change in the YTM of the bond. If the YTM rises by 2%, the price of the bond will fall.
Bond J :
(WHEN YTM IS 8%)
Coupon Rate: 5%
Coupon Amount (PMT): $1,000 * 5% = $50/2 = $25 (Semi annual coupon amounts)
Number of years (NPER) = 13*2 = 26
YTM (rate) = 8%/2 = 4%
Face Value: $1000
Price (PV0) : ?
To find the price of the bond, can either use excel or with formula.
When input the below formula in excel,
PV =pv(rate,nper,pmt,fv,type)
P0 =pv(4%,26,-25,-1000)
When input the formula in excel, we get PV as $760.26
(WHEN YTM RISES BY 2%, NEW YTM IS 10%)
Coupon Amount (PMT): $25 (Semi annual coupon amounts)
Number of years (NPER) = 26
YTM (rate) = 10%/2 = 5%
Face Value: $1000
Price (PV1) : ?
To find the price of the bond, can either use excel or with formula.
When input the below formula in excel,
PV =pv(rate,nper,pmt,fv,type)
P1 =pv(5%,26,-25,-1000)
When input the formula in excel, we get PV as $640.62
CHANGE IN THE BOND PRICE OF BOND J DUE TO THE CHANGE IN THE YTM
%change = (P1 – P0)/P0
%change = ($640.62 - $760.26)/$760.26
%change = -18.68%
Therefore, with the increase in 2% YTM of BOND J, the price falls by 18.68%
Bond K :
(WHEN YTM IS 8%)
Coupon Rate: 11%
Coupon Amount (PMT): $1,000 * 11% = $110/2 = $55 (Semi annual coupon amounts)
Number of years (NPER) = 13*2 = 26
YTM (rate) = 8%/2 = 4%
Face Value: $1000
Price (PV0) : ?
To find the price of the bond, can either use excel or with formula.
When input the below formula in excel,
PV =pv(rate,nper,pmt,fv,type)
P0 =pv(4%,26,-55,-1000)
When input the formula in excel, we get PV as $1,239.74
(WHEN YTM RISES BY 2%, NEW YTM IS 10%)
Coupon Amount (PMT): $55 (Semi annual coupon amounts)
Number of years (NPER) = 26
YTM (rate) = 10%/2 = 5%
Face Value: $1000
Price (PV1) : ?
To find the price of the bond, can either use excel or with formula.
When input the below formula in excel,
PV =pv(rate,nper,pmt,fv,type)
P1 =pv(5%,26,-55,-1000)
When input the formula in excel, we get PV as $1,071.88
CHANGE IN THE BOND PRICE OF BOND K DUE TO THE CHANGE IN THE YTM
%change = (P1 – P0)/P0
%change = ($1071.88 - $1239.74)/$1239.74
%change = -13.54%
Therefore, with the increase in 2% YTM of BOND k, the price falls by 13.54%
SIMILALRY IF THE BOND PRICES FALLS BY 2%, the YTM WILL BE 6%/2 = 3% **(REFER THE IMAGE ATTACHED)
